From ab94e72ef2e2e81fdb5263bb884974a5a47e781a Mon Sep 17 00:00:00 2001
From: Daniel Mills <daniel.mills@c2021dqqnf.home>
Date: Wed, 13 Mar 2024 19:17:24 +0000
Subject: [PATCH 1/8] Add h series randomisation method

---
 .../h_series_randomisation.py                 |  61 ++++++++++++++++
 qermit_rus/Cargo.lock                         |  16 +++++
 qermit_rus/Cargo.toml                         |  15 ++++
 qermit_rus/src/lib.rs                         |  67 ++++++++++++++++++
 .../release/qermit_rus.wasm                   | Bin 0 -> 1658092 bytes
 tests/frame_randomisation_test.py             |  39 ++++++++++
 tests/noise_model_test.py                     |  25 +++++++
 7 files changed, 223 insertions(+)
 create mode 100644 qermit/frame_randomisation/h_series_randomisation.py
 create mode 100644 qermit_rus/Cargo.lock
 create mode 100644 qermit_rus/Cargo.toml
 create mode 100644 qermit_rus/src/lib.rs
 create mode 100755 qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm

diff --git a/qermit/frame_randomisation/h_series_randomisation.py b/qermit/frame_randomisation/h_series_randomisation.py
new file mode 100644
index 00000000..1913b490
--- /dev/null
+++ b/qermit/frame_randomisation/h_series_randomisation.py
@@ -0,0 +1,61 @@
+from pytket import Circuit, OpType, wasm
+import itertools
+from pytket.unit_id import BitRegister, QubitRegister
+from pathlib import Path
+
+
+def get_wfh():
+
+    rus_dir = Path("/Users/daniel.mills/Qermit/qermit_rus/target/wasm32-unknown-unknown/release")
+    wasm_file = rus_dir.joinpath('qermit_rus.wasm')
+    return wasm.WasmFileHandler(wasm_file)
+
+
+def gen_randomised_circuit(circuit):
+
+    wfh = get_wfh()
+    
+    randomised_circuit = Circuit()
+    for q_register in circuit.q_registers:
+        randomised_circuit.add_q_register(q_register)
+    for c_register in circuit.c_registers:
+        randomised_circuit.add_c_register(c_register)
+
+    seed_size = 16
+    seed_c_reg = BitRegister(name='seed_c', size=seed_size)
+    randomised_circuit.add_c_register(seed_c_reg)
+
+    if circuit.n_qubits < seed_size:
+        seed_q_reg = QubitRegister(
+            name='seed_q',
+            size=seed_size-sum(q_register.size for q_register in randomised_circuit.q_registers)
+        )
+        randomised_circuit.add_q_register(seed_q_reg)
+
+    all_qubits = list(itertools.chain.from_iterable([q_register.to_list() for q_register in randomised_circuit.q_registers]))
+    for qubit, cbit in zip(all_qubits[:seed_size], seed_c_reg.to_list()):
+        randomised_circuit.H(qubit)
+        randomised_circuit.Measure(qubit, cbit)
+        randomised_circuit.Reset(qubit)
+    randomised_circuit.add_wasm_to_reg("seed_randomisation", wfh, [seed_c_reg], [])
+
+    randomisation_reg = randomised_circuit.add_c_register("randomisation", 8)
+
+    for command in circuit:
+
+        if command.op.type == OpType.ZZMax:
+            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
+            randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
+            randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
+            randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
+            randomised_circuit.X(command.qubits[1], condition=randomisation_reg[3])
+
+        randomised_circuit.add_gate(command.op, command.args)
+
+        if command.op.type == OpType.ZZMax:
+            randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[4])
+            randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[5])
+            randomised_circuit.X(command.qubits[0], condition=randomisation_reg[6])
+            randomised_circuit.X(command.qubits[1], condition=randomisation_reg[7])
+    
+    return randomised_circuit, wfh
diff --git a/qermit_rus/Cargo.lock b/qermit_rus/Cargo.lock
new file mode 100644
index 00000000..21648113
--- /dev/null
+++ b/qermit_rus/Cargo.lock
@@ -0,0 +1,16 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 3
+
+[[package]]
+name = "fastrand"
+version = "2.0.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "25cbce373ec4653f1a01a31e8a5e5ec0c622dc27ff9c4e6606eefef5cbbed4a5"
+
+[[package]]
+name = "qermit_rus"
+version = "0.1.0"
+dependencies = [
+ "fastrand",
+]
diff --git a/qermit_rus/Cargo.toml b/qermit_rus/Cargo.toml
new file mode 100644
index 00000000..1062814d
--- /dev/null
+++ b/qermit_rus/Cargo.toml
@@ -0,0 +1,15 @@
+[package]
+name = "qermit_rus"
+version = "0.1.0"
+edition = "2021"
+
+[lib]
+# cdylib specifies a dynamic system library will be produced. This is used when 
+# compiling a dynamic library to be loaded from another language, as is the 
+# case for hybrid compute.
+crate-type = ["cdylib"]
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+fastrand = "2.0.1"
diff --git a/qermit_rus/src/lib.rs b/qermit_rus/src/lib.rs
new file mode 100644
index 00000000..2cdbaab2
--- /dev/null
+++ b/qermit_rus/src/lib.rs
@@ -0,0 +1,67 @@
+// For hybrid compute to work, [no_mangle] must be at the top of all functions
+// we plan to call from our quantum program
+// For more info see: [Calling Rust from Other Languages]
+// (https://doc.rust-lang.org/book/ch19-01-unsafe-rust.html?highlight=no_mangle#calling-rust-functions-from-other-languages)
+#[no_mangle]
+fn init(){
+    // This function can have nothing it in, or load some initial function. 
+    // It is needed when passed via the Quantinuum API to warm up the wasm execution environment. 
+    // It can also be used to set up a global state.
+}
+
+fn get_bit(bit_string: u8, index: u32) -> u8 {
+    let base: u8 = 2;
+    (bit_string & base.pow(index)) >> index
+}
+
+fn get_correction(initial_pauli: u8) -> u8 {
+    
+    // calculate x_1
+    let mut correct_pauli: u8 = get_bit(initial_pauli, 3);
+    correct_pauli = correct_pauli << 1;
+
+    // calculate x_0
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
+    correct_pauli = correct_pauli << 1;
+
+    // calculate z_1
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 1);
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 3);
+    correct_pauli = correct_pauli << 1;
+
+    // calculate z_0
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 0);
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
+    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 3);
+
+    correct_pauli
+}
+
+#[no_mangle]
+pub extern "C" fn write_randomisation() -> u8 {
+    
+    let initial_pauli: u8 = fastrand::u8(..) >> 4;
+    let correct_pauli: u8 = get_correction(initial_pauli);
+
+    initial_pauli | correct_pauli << 4
+}
+
+#[no_mangle]
+pub extern "C" fn seed_randomisation(seed: u16) {
+    fastrand::seed(seed as u64);
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn correct_correction() {
+        assert_eq!(get_correction(14), 14);
+        assert_eq!(get_correction(9), 10);
+        assert_eq!(get_correction(4), 7);
+        assert_eq!(get_correction(2), 2);
+        assert_eq!(get_correction(6), 5);
+    }
+}
diff --git a/qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm b/qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm
new file mode 100755
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literal 0
HcmV?d00001

diff --git a/tests/frame_randomisation_test.py b/tests/frame_randomisation_test.py
index e96c889d..5dd057b2 100644
--- a/tests/frame_randomisation_test.py
+++ b/tests/frame_randomisation_test.py
@@ -22,8 +22,47 @@
 )
 from pytket import Circuit
 from pytket.extensions.qiskit import AerBackend  # type: ignore
+from pytket.extensions.quantinuum import QuantinuumBackend, QuantinuumAPIOffline
+from qermit.frame_randomisation.h_series_randomisation import gen_randomised_circuit
+from pytket.unit_id import BitRegister
+from collections import Counter
 
 
+def test_h_series_randomisation():
+
+    api_offline = QuantinuumAPIOffline()
+    backend = QuantinuumBackend(
+        device_name="H1-1LE",
+        api_handler = api_offline,
+    )
+
+    circuit = Circuit(3)
+    meas_reg = BitRegister(name='measure', size=2)
+    circuit.add_c_register(meas_reg)
+
+    circuit.ZZMax(0,1)
+    circuit.Measure(
+        qubit=circuit.qubits[0],
+        bit=meas_reg[0]
+    )
+    circuit.Measure(
+        qubit=circuit.qubits[1],
+        bit=meas_reg[1]
+    )
+
+    randomised_circuit, wfh = gen_randomised_circuit(circuit)
+
+    compiled_circuit = backend.get_compiled_circuit(randomised_circuit, optimisation_level=0)
+
+    n_shots = 100
+    result = backend.run_circuit(
+        compiled_circuit, 
+        n_shots=n_shots,
+        wasm_file_handler=wfh,
+        no_opt=True
+    )
+    assert result.get_counts(cbits=meas_reg) == Counter({(0,0,): n_shots})
+
 def test_frame_randomisation_circuits_task_gen():
     c = Circuit(2).CX(0, 1).Rx(0.289, 1).CX(0, 1).measure_all()
     ufr_task = frame_randomisation_circuits_task_gen(
diff --git a/tests/noise_model_test.py b/tests/noise_model_test.py
index f6c73658..6c421ae0 100644
--- a/tests/noise_model_test.py
+++ b/tests/noise_model_test.py
@@ -114,6 +114,31 @@ def test_qermit_pauli_commute_coeff() -> None:
         assert QermitPauli.commute_coeff(pauli_one=pauli_one, pauli_two=pauli_two) == verified[1]
 
 
+# Since QermitPauli with ZZMax in the H-series
+# WASM randomisation method all input and output Paulis
+# are tested here, having been calculated by hand.
+def test_qermit_pauli_zzmax():
+
+    for x_and_z in product([0, 1], repeat=4):
+
+        Z_list = x_and_z[:2]
+        X_list = x_and_z[2:]
+        qubit_list = [Qubit(0), Qubit(1)]
+
+        qermit_pauli = QermitPauli(
+            Z_list=Z_list,
+            X_list=X_list,
+            qubit_list=qubit_list,
+        )
+        qermit_pauli.apply_gate(
+            op_type=OpType.ZZMax,
+            qubits=qubit_list,
+        )
+        assert list(qermit_pauli.Z_list.values()) == [(Z_list[0] + X_list[0] + X_list[1]) % 2, (Z_list[1] + X_list[0] + X_list[1]) % 2]
+        assert list(qermit_pauli.X_list.values()) == [X_list[0], X_list[1]]
+        assert qermit_pauli.phase == (X_list[0] + X_list[1] + 2 * X_list[1] * X_list[0]) % 4
+
+
 def test_noise_model_logical_error_propagation() -> None:
 
     pytket_ciruit = Circuit(2).H(0).CX(0, 1).measure_all()

From 0039850101ae59f6cd0d6eb45614b8384de3b3a3 Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 2 Apr 2024 18:27:58 +0100
Subject: [PATCH 2/8] Comment out seed

---
 .../h_series_randomisation.py                 | 57 ++++++++++++-------
 1 file changed, 38 insertions(+), 19 deletions(-)

diff --git a/qermit/frame_randomisation/h_series_randomisation.py b/qermit/frame_randomisation/h_series_randomisation.py
index 1913b490..b4489287 100644
--- a/qermit/frame_randomisation/h_series_randomisation.py
+++ b/qermit/frame_randomisation/h_series_randomisation.py
@@ -21,30 +21,35 @@ def gen_randomised_circuit(circuit):
     for c_register in circuit.c_registers:
         randomised_circuit.add_c_register(c_register)
 
-    seed_size = 16
-    seed_c_reg = BitRegister(name='seed_c', size=seed_size)
-    randomised_circuit.add_c_register(seed_c_reg)
-
-    if circuit.n_qubits < seed_size:
-        seed_q_reg = QubitRegister(
-            name='seed_q',
-            size=seed_size-sum(q_register.size for q_register in randomised_circuit.q_registers)
-        )
-        randomised_circuit.add_q_register(seed_q_reg)
-
-    all_qubits = list(itertools.chain.from_iterable([q_register.to_list() for q_register in randomised_circuit.q_registers]))
-    for qubit, cbit in zip(all_qubits[:seed_size], seed_c_reg.to_list()):
-        randomised_circuit.H(qubit)
-        randomised_circuit.Measure(qubit, cbit)
-        randomised_circuit.Reset(qubit)
-    randomised_circuit.add_wasm_to_reg("seed_randomisation", wfh, [seed_c_reg], [])
+    # seed_size = 16
+    # seed_c_reg = BitRegister(name='seed_c', size=seed_size)
+    # randomised_circuit.add_c_register(seed_c_reg)
+
+    # if circuit.n_qubits < seed_size:
+    #     seed_q_reg = QubitRegister(
+    #         name='seed_q',
+    #         size=seed_size-sum(q_register.size for q_register in randomised_circuit.q_registers)
+    #     )
+    #     randomised_circuit.add_q_register(seed_q_reg)
+
+    # all_qubits = list(itertools.chain.from_iterable([q_register.to_list() for q_register in randomised_circuit.q_registers]))
+    # for qubit, cbit in zip(all_qubits[:seed_size], seed_c_reg.to_list()):
+    #     randomised_circuit.H(qubit)
+    #     randomised_circuit.Measure(qubit, cbit)
+    #     randomised_circuit.Reset(qubit)
+    # randomised_circuit.add_wasm_to_reg("seed_randomisation", wfh, [seed_c_reg], [])
 
     randomisation_reg = randomised_circuit.add_c_register("randomisation", 8)
 
-    for command in circuit:
+    rand_vals = [116, 154]
+
+    for command_count, command in enumerate(circuit):
+
+        # randomisation_reg = randomised_circuit.add_c_register(f"randomisation_{command_count}", 8)
 
         if command.op.type == OpType.ZZMax:
-            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
+            # randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
+            randomised_circuit.add_c_setreg(rand_vals[command_count], randomisation_reg)
             randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
             randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
             randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
@@ -57,5 +62,19 @@ def gen_randomised_circuit(circuit):
             randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[5])
             randomised_circuit.X(command.qubits[0], condition=randomisation_reg[6])
             randomised_circuit.X(command.qubits[1], condition=randomisation_reg[7])
+
+            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
+            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[2])
+            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[3])
+            # randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
+
+            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
+            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[2])
+            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[3])
+            # randomised_circuit.X(command.qubits[1], condition=randomisation_reg[3])
+
+            # randomised_circuit.Phase(0.5, condition=randomisation_reg[2])
+            # randomised_circuit.Phase(0.5, condition=randomisation_reg[3])
+            # randomised_circuit.Phase(-1, condition_bits=[randomisation_reg[2], randomisation_reg[3]])
     
     return randomised_circuit, wfh

From b86ce612bab4da287963db8642920f52476d1717 Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 9 Apr 2024 10:58:48 +0100
Subject: [PATCH 3/8] Move to using classical expressions

---
 .../h_series_randomisation.py                 |  70 +++++++++-------
 qermit_rus/src/lib.rs                         |  75 +++++++++---------
 .../release/qermit_rus.wasm                   | Bin 1658092 -> 1658019 bytes
 3 files changed, 79 insertions(+), 66 deletions(-)

diff --git a/qermit/frame_randomisation/h_series_randomisation.py b/qermit/frame_randomisation/h_series_randomisation.py
index b4489287..9223d021 100644
--- a/qermit/frame_randomisation/h_series_randomisation.py
+++ b/qermit/frame_randomisation/h_series_randomisation.py
@@ -21,35 +21,34 @@ def gen_randomised_circuit(circuit):
     for c_register in circuit.c_registers:
         randomised_circuit.add_c_register(c_register)
 
-    # seed_size = 16
-    # seed_c_reg = BitRegister(name='seed_c', size=seed_size)
-    # randomised_circuit.add_c_register(seed_c_reg)
+    seed_size = 16
+    seed_c_reg = BitRegister(name='seed_c', size=seed_size)
+    randomised_circuit.add_c_register(seed_c_reg)
 
-    # if circuit.n_qubits < seed_size:
-    #     seed_q_reg = QubitRegister(
-    #         name='seed_q',
-    #         size=seed_size-sum(q_register.size for q_register in randomised_circuit.q_registers)
-    #     )
-    #     randomised_circuit.add_q_register(seed_q_reg)
+    if circuit.n_qubits < seed_size:
+        seed_q_reg = QubitRegister(
+            name='seed_q',
+            size=seed_size-sum(q_register.size for q_register in randomised_circuit.q_registers)
+        )
+        randomised_circuit.add_q_register(seed_q_reg)
 
-    # all_qubits = list(itertools.chain.from_iterable([q_register.to_list() for q_register in randomised_circuit.q_registers]))
-    # for qubit, cbit in zip(all_qubits[:seed_size], seed_c_reg.to_list()):
-    #     randomised_circuit.H(qubit)
-    #     randomised_circuit.Measure(qubit, cbit)
-    #     randomised_circuit.Reset(qubit)
-    # randomised_circuit.add_wasm_to_reg("seed_randomisation", wfh, [seed_c_reg], [])
+    all_qubits = list(itertools.chain.from_iterable([q_register.to_list() for q_register in randomised_circuit.q_registers]))
+    for qubit, cbit in zip(all_qubits[:seed_size], seed_c_reg.to_list()):
+        randomised_circuit.H(qubit)
+        randomised_circuit.Measure(qubit, cbit)
+        randomised_circuit.Reset(qubit)
+    randomised_circuit.add_wasm_to_reg("seed_randomisation", wfh, [seed_c_reg], [])
 
-    randomisation_reg = randomised_circuit.add_c_register("randomisation", 8)
+    randomisation_reg = randomised_circuit.add_c_register("randomisation", 4)
 
-    rand_vals = [116, 154]
+    # rand_vals = [10, 7]
+    # command_count = 0
 
-    for command_count, command in enumerate(circuit):
-
-        # randomisation_reg = randomised_circuit.add_c_register(f"randomisation_{command_count}", 8)
+    for command in circuit:
 
         if command.op.type == OpType.ZZMax:
-            # randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
-            randomised_circuit.add_c_setreg(rand_vals[command_count], randomisation_reg)
+            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
+            # randomised_circuit.add_c_setreg(rand_vals[command_count], randomisation_reg)
             randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
             randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
             randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
@@ -58,10 +57,21 @@ def gen_randomised_circuit(circuit):
         randomised_circuit.add_gate(command.op, command.args)
 
         if command.op.type == OpType.ZZMax:
-            randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[4])
-            randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[5])
-            randomised_circuit.X(command.qubits[0], condition=randomisation_reg[6])
-            randomised_circuit.X(command.qubits[1], condition=randomisation_reg[7])
+            randomised_circuit.Z(
+                command.qubits[0],
+                condition=randomisation_reg[0] ^ randomisation_reg[2] ^ randomisation_reg[3]
+            )
+            randomised_circuit.Z(
+                command.qubits[1],
+                condition=randomisation_reg[1] ^ randomisation_reg[2] ^ randomisation_reg[3]
+            )
+            randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
+            randomised_circuit.X(command.qubits[1], condition=randomisation_reg[3])
+            
+            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[4])
+            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[5])
+            # randomised_circuit.X(command.qubits[0], condition=randomisation_reg[6])
+            # randomised_circuit.X(command.qubits[1], condition=randomisation_reg[7])
 
             # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
             # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[2])
@@ -73,8 +83,10 @@ def gen_randomised_circuit(circuit):
             # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[3])
             # randomised_circuit.X(command.qubits[1], condition=randomisation_reg[3])
 
-            # randomised_circuit.Phase(0.5, condition=randomisation_reg[2])
-            # randomised_circuit.Phase(0.5, condition=randomisation_reg[3])
-            # randomised_circuit.Phase(-1, condition_bits=[randomisation_reg[2], randomisation_reg[3]])
+            randomised_circuit.Phase(0.5, condition=randomisation_reg[2])
+            randomised_circuit.Phase(0.5, condition=randomisation_reg[3])
+            randomised_circuit.Phase(-1, condition=randomisation_reg[2] & randomisation_reg[3])
+
+            # command_count += 1
     
     return randomised_circuit, wfh
diff --git a/qermit_rus/src/lib.rs b/qermit_rus/src/lib.rs
index 2cdbaab2..1bf77e31 100644
--- a/qermit_rus/src/lib.rs
+++ b/qermit_rus/src/lib.rs
@@ -9,42 +9,43 @@ fn init(){
     // It can also be used to set up a global state.
 }
 
-fn get_bit(bit_string: u8, index: u32) -> u8 {
-    let base: u8 = 2;
-    (bit_string & base.pow(index)) >> index
-}
+// fn get_bit(bit_string: u8, index: u32) -> u8 {
+//     let base: u8 = 2;
+//     (bit_string & base.pow(index)) >> index
+// }
 
-fn get_correction(initial_pauli: u8) -> u8 {
+// fn get_correction(initial_pauli: u8) -> u8 {
     
-    // calculate x_1
-    let mut correct_pauli: u8 = get_bit(initial_pauli, 3);
-    correct_pauli = correct_pauli << 1;
+//     // calculate x_1
+//     let mut correct_pauli: u8 = get_bit(initial_pauli, 3);
+//     correct_pauli = correct_pauli << 1;
 
-    // calculate x_0
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
-    correct_pauli = correct_pauli << 1;
+//     // calculate x_0
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
+//     correct_pauli = correct_pauli << 1;
 
-    // calculate z_1
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 1);
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 3);
-    correct_pauli = correct_pauli << 1;
+//     // calculate z_1
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 1);
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 3);
+//     correct_pauli = correct_pauli << 1;
 
-    // calculate z_0
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 0);
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
-    correct_pauli = correct_pauli ^ get_bit(initial_pauli, 3);
+//     // calculate z_0
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 0);
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 2);
+//     correct_pauli = correct_pauli ^ get_bit(initial_pauli, 3);
 
-    correct_pauli
-}
+//     correct_pauli
+// }
 
 #[no_mangle]
 pub extern "C" fn write_randomisation() -> u8 {
     
-    let initial_pauli: u8 = fastrand::u8(..) >> 4;
-    let correct_pauli: u8 = get_correction(initial_pauli);
+    // let initial_pauli: u8 = fastrand::u8(..);
+    // let correct_pauli: u8 = get_correction(initial_pauli);
 
-    initial_pauli | correct_pauli << 4
+    // initial_pauli | correct_pauli << 4
+    fastrand::u8(..)
 }
 
 #[no_mangle]
@@ -52,16 +53,16 @@ pub extern "C" fn seed_randomisation(seed: u16) {
     fastrand::seed(seed as u64);
 }
 
-#[cfg(test)]
-mod tests {
-    use super::*;
+// #[cfg(test)]
+// mod tests {
+//     use super::*;
 
-    #[test]
-    fn correct_correction() {
-        assert_eq!(get_correction(14), 14);
-        assert_eq!(get_correction(9), 10);
-        assert_eq!(get_correction(4), 7);
-        assert_eq!(get_correction(2), 2);
-        assert_eq!(get_correction(6), 5);
-    }
-}
+//     #[test]
+//     fn correct_correction() {
+//         assert_eq!(get_correction(14), 14);
+//         assert_eq!(get_correction(9), 10);
+//         assert_eq!(get_correction(4), 7);
+//         assert_eq!(get_correction(2), 2);
+//         assert_eq!(get_correction(6), 5);
+//     }
+// }
diff --git a/qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm b/qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm
index 409b2f452ea77d40454c3c8c5743aa646d824d2e..9fc5fb13189fb6f74d37cb6ae8ce52e82977ce8e 100755
GIT binary patch
delta 443
zcmYk2y-EW?6oqGQX7<N*V|L@{X449Sq!0uZ1hKXB1;i%!0+!+yDYg@>vVn9$8Vh3~
zORB^aK7*Z=T?%cr@yu)nEIx*FIQQJkEC$_&LHBMHzL6jnj5zU(Zth=(y@KZj*AS=y
zQ5Ia%l-^l?IFoJtPG)j1`(%tMAR5a37)z#g0O*V#8siIsS4QeyK1=ou;aA2s^S0pp
zEF&V?br$IOg${v;l$o#^oy!Rijk;7Mu`(k*R81RkHRAVsuW~2bhb^_;O1&#=vYMVk
z=A6PfvVpX10#=*A0RkrokZJI}{GX;rH0Wa!1Y8|xR-3KX$L5{61P*Y42Yj#s0<a1~
gPzP(E0U{8CCRhgwY=F(OGfytA@$cpBaqGPP2U7Z9g8%>k

delta 538
zcmYk0yGjE=7=`D$7jxaj)g*%ME{b3wf`ytwSTu@NNFG462zH{$l1kh{Ay}zZ2-pcW
z7Ah8L1kICJqz(88dS;UaVZMR$asGeivDX;&8h1~bTP_$${7_CqcFDv0_lJFt_`mer
z<G$YZgd-f{Yi%Dw`ZREa&w?hDRI1r>WJ_7@i#En$BLassud1|Dr3wZ(5dA8Z>~q1T
zgq#vW*oTG7OX6CZ$F)~633qAt>`ShPt0>thiL9-Eze=KVLJigEW+b*CaFi(NCvTFJ
zk<77JCdMMn&ZHu&HEo0)yT~cE)3T$9IAg_Rq83jSa&|OQhu~@?Hy){X%LBO*hR{;!
zV#x^bQk>aKif9KA*KwgV7Zu_h6*f?~L4idZOr!HJvuA8jpFKuFSB3oe<v6R)c7_89
sG@t_mm|zMdKoX=t8e~8gSRe=TU>ew92F&({gTm1Tb7{Y_T|7+x0e9(lSpWb4


From d74f02d00ad8f61403d9c4a063900cc512c0d4a2 Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 9 Apr 2024 11:56:45 +0100
Subject: [PATCH 4/8] Add tests

---
 .../frame_randomisation.py                    |  7 ++
 .../h_series_randomisation.py                 | 33 ++-----
 tests/frame_randomisation_test.py             | 95 ++++++++++++++++++-
 3 files changed, 105 insertions(+), 30 deletions(-)

diff --git a/qermit/frame_randomisation/frame_randomisation.py b/qermit/frame_randomisation/frame_randomisation.py
index 1c2155ed..3184dff2 100644
--- a/qermit/frame_randomisation/frame_randomisation.py
+++ b/qermit/frame_randomisation/frame_randomisation.py
@@ -33,10 +33,17 @@
 from enum import Enum
 from pytket import OpType
 from pytket.passes import auto_rebase_pass
+from .h_series_randomisation import gen_h_series_randomised_circuit
 
 
 class FrameRandomisation(Enum):
 
+    @staticmethod
+    def HSeriesRandomisation(
+        circuit: Circuit, shots: int,
+    ) -> List[CircuitShots]:
+        return [CircuitShots(Circuit=gen_h_series_randomised_circuit(circuit), Shots=shots)]
+
     @staticmethod
     def PauliFrameRandomisation(
         circuit: Circuit, shots: int, samples: int
diff --git a/qermit/frame_randomisation/h_series_randomisation.py b/qermit/frame_randomisation/h_series_randomisation.py
index 9223d021..172ad089 100644
--- a/qermit/frame_randomisation/h_series_randomisation.py
+++ b/qermit/frame_randomisation/h_series_randomisation.py
@@ -11,13 +11,17 @@ def get_wfh():
     return wasm.WasmFileHandler(wasm_file)
 
 
-def gen_randomised_circuit(circuit):
+def gen_h_series_randomised_circuit(circuit):
 
     wfh = get_wfh()
     
     randomised_circuit = Circuit()
+    randomisation_reg_dict = {}
     for q_register in circuit.q_registers:
         randomised_circuit.add_q_register(q_register)
+        for qubit in q_register:
+            randomisation_reg = randomised_circuit.add_c_register(f"randomisation_{qubit.to_list()}", 4)
+            randomisation_reg_dict[qubit] = randomisation_reg
     for c_register in circuit.c_registers:
         randomised_circuit.add_c_register(c_register)
 
@@ -39,16 +43,10 @@ def gen_randomised_circuit(circuit):
         randomised_circuit.Reset(qubit)
     randomised_circuit.add_wasm_to_reg("seed_randomisation", wfh, [seed_c_reg], [])
 
-    randomisation_reg = randomised_circuit.add_c_register("randomisation", 4)
-
-    # rand_vals = [10, 7]
-    # command_count = 0
-
     for command in circuit:
 
         if command.op.type == OpType.ZZMax:
-            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
-            # randomised_circuit.add_c_setreg(rand_vals[command_count], randomisation_reg)
+            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg_dict[command.args[0]]])
             randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
             randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
             randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
@@ -67,26 +65,9 @@ def gen_randomised_circuit(circuit):
             )
             randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
             randomised_circuit.X(command.qubits[1], condition=randomisation_reg[3])
-            
-            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[4])
-            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[5])
-            # randomised_circuit.X(command.qubits[0], condition=randomisation_reg[6])
-            # randomised_circuit.X(command.qubits[1], condition=randomisation_reg[7])
-
-            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
-            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[2])
-            # randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[3])
-            # randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
-
-            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
-            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[2])
-            # randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[3])
-            # randomised_circuit.X(command.qubits[1], condition=randomisation_reg[3])
 
             randomised_circuit.Phase(0.5, condition=randomisation_reg[2])
             randomised_circuit.Phase(0.5, condition=randomisation_reg[3])
             randomised_circuit.Phase(-1, condition=randomisation_reg[2] & randomisation_reg[3])
-
-            # command_count += 1
     
-    return randomised_circuit, wfh
+    return randomised_circuit
diff --git a/tests/frame_randomisation_test.py b/tests/frame_randomisation_test.py
index 5dd057b2..f847e39d 100644
--- a/tests/frame_randomisation_test.py
+++ b/tests/frame_randomisation_test.py
@@ -23,19 +23,25 @@
 from pytket import Circuit
 from pytket.extensions.qiskit import AerBackend  # type: ignore
 from pytket.extensions.quantinuum import QuantinuumBackend, QuantinuumAPIOffline
-from qermit.frame_randomisation.h_series_randomisation import gen_randomised_circuit
+from qermit.frame_randomisation.h_series_randomisation import gen_h_series_randomised_circuit, get_wfh
+
 from pytket.unit_id import BitRegister
 from collections import Counter
 
 
 def test_h_series_randomisation():
+    # These tests check that the ideal behaviour of the circuits
+    # is not altered by adding randomisation.
 
     api_offline = QuantinuumAPIOffline()
     backend = QuantinuumBackend(
         device_name="H1-1LE",
         api_handler = api_offline,
     )
+    wasm_file_handler=get_wfh()
 
+    # Small circuit with just one ZZMax.
+    # The ideal output is 00.
     circuit = Circuit(3)
     meas_reg = BitRegister(name='measure', size=2)
     circuit.add_c_register(meas_reg)
@@ -50,19 +56,100 @@ def test_h_series_randomisation():
         bit=meas_reg[1]
     )
 
-    randomised_circuit, wfh = gen_randomised_circuit(circuit)
-
+    randomised_circuit = gen_h_series_randomised_circuit(circuit)
     compiled_circuit = backend.get_compiled_circuit(randomised_circuit, optimisation_level=0)
 
     n_shots = 100
     result = backend.run_circuit(
         compiled_circuit, 
         n_shots=n_shots,
-        wasm_file_handler=wfh,
+        wasm_file_handler=wasm_file_handler,
         no_opt=True
     )
     assert result.get_counts(cbits=meas_reg) == Counter({(0,0,): n_shots})
 
+    # To consecutive ZZMax gates.
+    # Has the effect of acting Z_0 Z_1.
+    # Checked by applying hadamard rotations.
+    # I deal outcome in rotate basis is 11.
+    circuit = Circuit(3)
+    meas_reg = BitRegister(name='measure', size=2)
+    circuit.add_c_register(meas_reg)
+
+    circuit.H(0)
+    circuit.H(1)
+    
+    circuit.ZZMax(0,1)
+    circuit.ZZMax(0,1)
+    
+    circuit.H(0)
+    circuit.H(1)
+    
+    circuit.Measure(
+        qubit=circuit.qubits[0],
+        bit=meas_reg[0]
+    )
+    circuit.Measure(
+        qubit=circuit.qubits[1],
+        bit=meas_reg[1]
+    )
+
+    randomised_circuit = gen_h_series_randomised_circuit(circuit)
+    compiled_circuit = backend.get_compiled_circuit(randomised_circuit, optimisation_level=0)
+
+    n_shots = 100
+    result = backend.run_circuit(
+        compiled_circuit, 
+        n_shots=n_shots,
+        wasm_file_handler=wasm_file_handler,
+        no_opt=True
+    )
+    assert result.get_counts(cbits=meas_reg) == Counter({(1,1,): n_shots})
+
+    # Slightly larger circuit.
+    # Ideal outcome in rotated basis is 101.
+    circuit = Circuit(3)
+    meas_reg = BitRegister(name='measure', size=3)
+    circuit.add_c_register(meas_reg)
+
+    circuit.H(0)
+    circuit.H(1)
+    circuit.H(2)
+    
+    circuit.ZZMax(0,1)
+    circuit.ZZMax(1,2)
+    circuit.ZZMax(0,1)
+    circuit.ZZMax(1,2)
+    
+    circuit.H(0)
+    circuit.H(1)
+    circuit.H(2)
+    
+    circuit.Measure(
+        qubit=circuit.qubits[0],
+        bit=meas_reg[0]
+    )
+    circuit.Measure(
+        qubit=circuit.qubits[1],
+        bit=meas_reg[1]
+    )
+    circuit.Measure(
+        qubit=circuit.qubits[2],
+        bit=meas_reg[2]
+    )
+
+    randomised_circuit = gen_h_series_randomised_circuit(circuit)
+    compiled_circuit = backend.get_compiled_circuit(randomised_circuit, optimisation_level=0)
+
+    n_shots = 100
+    result = backend.run_circuit(
+        compiled_circuit, 
+        n_shots=n_shots,
+        wasm_file_handler=wasm_file_handler,
+        no_opt=True
+    )
+    assert result.get_counts(cbits=meas_reg) == Counter({(1,0,1,): n_shots})
+
 def test_frame_randomisation_circuits_task_gen():
     c = Circuit(2).CX(0, 1).Rx(0.289, 1).CX(0, 1).measure_all()
     ufr_task = frame_randomisation_circuits_task_gen(

From 524d4bfda2fca2dd55687156c6173fd19bcab55f Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 9 Apr 2024 13:54:47 +0100
Subject: [PATCH 5/8] add pecos dep

---
 poetry.lock    | 299 ++++++++++++++++++++++++++++++++++++++++++++++---
 pyproject.toml |   7 +-
 2 files changed, 285 insertions(+), 21 deletions(-)

diff --git a/poetry.lock b/poetry.lock
index 81c1280a..415c4a6f 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -455,6 +455,73 @@ files = [
 docs = ["ipython", "matplotlib", "numpydoc", "sphinx"]
 tests = ["pytest", "pytest-cov", "pytest-xdist"]
 
+[[package]]
+name = "cython"
+version = "3.0.10"
+description = "The Cython compiler for writing C extensions in the Python language."
+optional = true
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+
 [[package]]
 name = "dill"
 version = "0.3.8"
@@ -800,6 +867,30 @@ atomic-cache = ["atomicwrites"]
 nearley = ["js2py"]
 regex = ["regex"]
 
+[[package]]
+name = "markdown-it-py"
+version = "3.0.0"
+description = "Python port of markdown-it. Markdown parsing, done right!"
+optional = true
+python-versions = ">=3.8"
+files = [
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+
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+
+[package.extras]
+benchmarking = ["psutil", "pytest", "pytest-benchmark"]
+code-style = ["pre-commit (>=3.0,<4.0)"]
+compare = ["commonmark (>=0.9,<1.0)", "markdown (>=3.4,<4.0)", "mistletoe (>=1.0,<2.0)", "mistune (>=2.0,<3.0)", "panflute (>=2.3,<3.0)"]
+linkify = ["linkify-it-py (>=1,<3)"]
+plugins = ["mdit-py-plugins"]
+profiling = ["gprof2dot"]
+rtd = ["jupyter_sphinx", "mdit-py-plugins", "myst-parser", "pyyaml", "sphinx", "sphinx-copybutton", "sphinx-design", "sphinx_book_theme"]
+testing = ["coverage", "pytest", "pytest-cov", "pytest-regressions"]
+
 [[package]]
 name = "markupsafe"
 version = "2.1.5"
@@ -928,6 +1019,17 @@ files = [
     {file = "mccabe-0.7.0.tar.gz", hash = "sha256:348e0240c33b60bbdf4e523192ef919f28cb2c3d7d5c7794f74009290f236325"},
 ]
 
+[[package]]
+name = "mdurl"
+version = "0.1.2"
+description = "Markdown URL utilities"
+optional = true
+python-versions = ">=3.7"
+files = [
+    {file = "mdurl-0.1.2-py3-none-any.whl", hash = "sha256:84008a41e51615a49fc9966191ff91509e3c40b939176e643fd50a5c2196b8f8"},
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+]
+
 [[package]]
 name = "mpmath"
 version = "1.3.0"
@@ -949,7 +1051,7 @@ tests = ["pytest (>=4.6)"]
 name = "msal"
 version = "1.28.0"
 description = "The Microsoft Authentication Library (MSAL) for Python library enables your app to access the Microsoft Cloud by supporting authentication of users with Microsoft Azure Active Directory accounts (AAD) and Microsoft Accounts (MSA) using industry standard OAuth2 and OpenID Connect."
-optional = false
+optional = true
 python-versions = ">=3.7"
 files = [
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@@ -1026,7 +1128,7 @@ files = [
 name = "nest-asyncio"
 version = "1.6.0"
 description = "Patch asyncio to allow nested event loops"
-optional = false
+optional = true
 python-versions = ">=3.5"
 files = [
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@@ -1035,21 +1137,21 @@ files = [
 
 [[package]]
 name = "networkx"
-version = "3.3"
+version = "2.8.8"
 description = "Python package for creating and manipulating graphs and networks"
 optional = false
-python-versions = ">=3.10"
+python-versions = ">=3.8"
 files = [
-    {file = "networkx-3.3-py3-none-any.whl", hash = "sha256:28575580c6ebdaf4505b22c6256a2b9de86b316dc63ba9e93abde3d78dfdbcf2"},
-    {file = "networkx-3.3.tar.gz", hash = "sha256:0c127d8b2f4865f59ae9cb8aafcd60b5c70f3241ebd66f7defad7c4ab90126c9"},
+    {file = "networkx-2.8.8-py3-none-any.whl", hash = "sha256:e435dfa75b1d7195c7b8378c3859f0445cd88c6b0375c181ed66823a9ceb7524"},
+    {file = "networkx-2.8.8.tar.gz", hash = "sha256:230d388117af870fce5647a3c52401fcf753e94720e6ea6b4197a5355648885e"},
 ]
 
 [package.extras]
-default = ["matplotlib (>=3.6)", "numpy (>=1.23)", "pandas (>=1.4)", "scipy (>=1.9,!=1.11.0,!=1.11.1)"]
-developer = ["changelist (==0.5)", "mypy (>=1.1)", "pre-commit (>=3.2)", "rtoml"]
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-test = ["pytest (>=7.2)", "pytest-cov (>=4.0)"]
+default = ["matplotlib (>=3.4)", "numpy (>=1.19)", "pandas (>=1.3)", "scipy (>=1.8)"]
+developer = ["mypy (>=0.982)", "pre-commit (>=2.20)"]
+doc = ["nb2plots (>=0.6)", "numpydoc (>=1.5)", "pillow (>=9.2)", "pydata-sphinx-theme (>=0.11)", "sphinx (>=5.2)", "sphinx-gallery (>=0.11)", "texext (>=0.6.6)"]
+extra = ["lxml (>=4.6)", "pydot (>=1.4.2)", "pygraphviz (>=1.9)", "sympy (>=1.10)"]
+test = ["codecov (>=2.1)", "pytest (>=7.2)", "pytest-cov (>=4.0)"]
 
 [[package]]
 name = "numpy"
@@ -1118,6 +1220,25 @@ files = [
     {file = "pbr-6.0.0.tar.gz", hash = "sha256:d1377122a5a00e2f940ee482999518efe16d745d423a670c27773dfbc3c9a7d9"},
 ]
 
+[[package]]
+name = "phir"
+version = "0.3.2"
+description = "A data model and validation tool for PHIR (PECOS High-level Intermediate Representation)."
+optional = true
+python-versions = ">=3.10"
+files = [
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+    {file = "phir-0.3.2.tar.gz", hash = "sha256:9b14a45d72b27f9471a9df35dd9e74bbc435884f473f6d327106fc253ad8d035"},
+]
+
+[package.dependencies]
+pydantic = "*"
+rich = "*"
+
+[package.extras]
+docs = ["autodoc-pydantic", "pydata-sphinx-theme", "sphinx"]
+tests = ["pytest"]
+
 [[package]]
 name = "pillow"
 version = "10.3.0"
@@ -1219,6 +1340,30 @@ files = [
 dev = ["pre-commit", "tox"]
 testing = ["pytest", "pytest-benchmark"]
 
+[[package]]
+name = "projectq"
+version = "0.8.0"
+description = "ProjectQ - An open source software framework for quantum computing"
+optional = true
+python-versions = ">=3.7"
+files = [
+    {file = "projectq-0.8.0.tar.gz", hash = "sha256:0bcd242afabe947ac4737dffab1de62628b84125ee6ccb3ec23bd4f1d082ec60"},
+]
+
+[package.dependencies]
+matplotlib = ">=2.2.3"
+networkx = ">=2"
+numpy = "*"
+requests = "*"
+scipy = "*"
+
+[package.extras]
+azure-quantum = ["azure-quantum"]
+braket = ["boto3"]
+docs = ["sphinx", "sphinx_rtd_theme"]
+revkit = ["dormouse", "revkit (==3.0a2.dev2)"]
+test = ["flaky", "mock", "pytest (>=6.0)", "pytest-cov", "pytest-mock"]
+
 [[package]]
 name = "psutil"
 version = "5.9.8"
@@ -1247,6 +1392,20 @@ files = [
 [package.extras]
 test = ["enum34", "ipaddress", "mock", "pywin32", "wmi"]
 
+[[package]]
+name = "pybind11"
+version = "2.12.0"
+description = "Seamless operability between C++11 and Python"
+optional = true
+python-versions = ">=3.6"
+files = [
+    {file = "pybind11-2.12.0-py3-none-any.whl", hash = "sha256:df8d60b94f9e714d81013db233393d430ebf9f3551642b82291cf1b14d1afdbd"},
+    {file = "pybind11-2.12.0.tar.gz", hash = "sha256:5e3c557a84b06b969247630407fc4d985bed157b4253b13153b8e8e165e0c3dc"},
+]
+
+[package.extras]
+global = ["pybind11-global (==2.12.0)"]
+
 [[package]]
 name = "pycodestyle"
 version = "2.11.1"
@@ -1470,7 +1629,7 @@ diagrams = ["jinja2", "railroad-diagrams"]
 name = "pyqir"
 version = "0.10.0"
 description = "PyQIR parses, generates and evaluates the Quantum Intermediate Representation."
-optional = false
+optional = true
 python-versions = ">=3.8"
 files = [
     {file = "pyqir-0.10.0-cp38-abi3-macosx_10_9_x86_64.whl", hash = "sha256:b2fd7bb4bd45fa601ac92099c4e82d8f02e092a44d413d1dad7fa555fafa40b8"},
@@ -1594,11 +1753,48 @@ typing-extensions = ">=4.2,<5.0"
 [package.extras]
 zx = ["autoray (>=0.6.1)", "quimb (>=1.5,<2.0)"]
 
+[[package]]
+name = "pytket-pecos"
+version = "0.1.23"
+description = "This package enables emulation of pytket circuits using the PECOS emulator."
+optional = true
+python-versions = "*"
+files = [
+    {file = "pytket_pecos-0.1.23-py2.py3-none-any.whl", hash = "sha256:5002a1f9d8c3107f9a2731289659a3aa712806edd9ef66fc216971d977a4d827"},
+    {file = "pytket_pecos-0.1.23.tar.gz", hash = "sha256:a3be9d0bb7c3f549c6524ed1778fcf9bd42bac141ecae788d572b16b6b60f96f"},
+]
+
+[package.dependencies]
+pytket = ">=1.26.0"
+pytket-phir = ">=0.6.3"
+quantum-pecos = {version = ">=0.5.0dev10", extras = ["simulators", "wasmtime"]}
+
+[[package]]
+name = "pytket-phir"
+version = "0.6.3"
+description = "A circuit analyzer and translator from pytket to PHIR"
+optional = true
+python-versions = "<3.13,>=3.10"
+files = [
+    {file = "pytket-phir-0.6.3.tar.gz", hash = "sha256:172bc17dab1db934be875923afc4e59ea9b8785a2394eb7b94ccb576259c1aee"},
+    {file = "pytket_phir-0.6.3-py3-none-any.whl", hash = "sha256:a3a706b5d01021decd197d0c820a2ecd62114c253422761dff71fde50023f15c"},
+]
+
+[package.dependencies]
+phir = ">=0.3.2"
+pytket = ">=1.21.0"
+wasmtime = ">=15.0.0"
+
+[package.extras]
+docs = ["pydata-sphinx-theme", "sphinx"]
+phirc = ["projectq", "quantum-pecos (>=0.5.0.dev10)"]
+tests = ["pytest"]
+
 [[package]]
 name = "pytket-qir"
 version = "0.9.0"
 description = "Extension for pytket, providing functions for conversion into to qir"
-optional = false
+optional = true
 python-versions = ">=3.10"
 files = [
     {file = "pytket_qir-0.9.0-py3-none-any.whl", hash = "sha256:2ecd74db10eb6aaccd9fe7c80635b1d368d1a1f70cdcc5e4a30abf661cff8424"},
@@ -1631,7 +1827,7 @@ qiskit-ibm-runtime = ">=0.21.0,<0.22.0"
 name = "pytket-quantinuum"
 version = "0.32.0"
 description = "Extension for pytket, providing access to Quantinuum backends"
-optional = false
+optional = true
 python-versions = ">=3.10"
 files = [
     {file = "pytket_quantinuum-0.32.0-py3-none-any.whl", hash = "sha256:31f6c6482fb24a854a41b2ca8e653a43c02c2a7090c86c17d38ccacfb1409ebb"},
@@ -1815,6 +2011,37 @@ requests-ntlm = ">=1.1.0"
 urllib3 = ">=1.21.1"
 websocket-client = ">=1.5.1"
 
+[[package]]
+name = "quantum-pecos"
+version = "0.5.0.dev10"
+description = "PECOS is a library/framework for the evaluation, study, and design of QEC protocols. It also provides the ability to study and evaluate the performance advanced hybrid quantum/classical compute execution models for NISQ algorithms and beyond."
+optional = true
+python-versions = ">=3.10"
+files = [
+    {file = "quantum-pecos-0.5.0.dev10.tar.gz", hash = "sha256:96e792833fe929df4703abc0fc0d58e9e43dff1451463dfebf3d23586e875ad1"},
+    {file = "quantum_pecos-0.5.0.dev10-py2.py3-none-any.whl", hash = "sha256:c01a97704430e9759ccf0bfa31764537b7a57ae948aea214e543ef251c7cb0b6"},
+]
+
+[package.dependencies]
+cython = {version = "*", optional = true, markers = "extra == \"simulators\""}
+matplotlib = ">=2.2.0,<4.0"
+networkx = ">=2.1.0,<3.0"
+numpy = ">=1.15.0,<2.0"
+phir = ">=0.3.0,<0.4.0"
+projectq = {version = ">=0.5.0,<0.9.0", optional = true, markers = "extra == \"simulators\""}
+pybind11 = {version = ">=2.2.3,<3.0", optional = true, markers = "extra == \"simulators\""}
+scipy = ">=1.1.0,<2.0"
+wasmtime = {version = ">=13.0", optional = true, markers = "extra == \"wasmtime\""}
+
+[package.extras]
+all = ["quantum-pecos[simulators]", "quantum-pecos[tests]", "quantum-pecos[visualization]", "quantum-pecos[wasmer]", "quantum-pecos[wasmtime]"]
+cuda = ["cupy (>=10.4.0)", "cuquantum-python (>=23.6.0)"]
+simulators = ["cython", "projectq (>=0.5.0,<0.9.0)", "pybind11 (>=2.2.3,<3.0)"]
+tests = ["pytest (>=5.0.0)"]
+visualization = ["plotly (>=5.9.0,<5.10.0)"]
+wasmer = ["wasmer (>=1.1.0,<1.2.0)", "wasmer-compiler-cranelift (>=1.1.0,<1.2.0)"]
+wasmtime = ["wasmtime (>=13.0)"]
+
 [[package]]
 name = "qwasm"
 version = "1.0.1"
@@ -1866,6 +2093,24 @@ cryptography = ">=1.3"
 pyspnego = ">=0.1.6"
 requests = ">=2.0.0"
 
+[[package]]
+name = "rich"
+version = "13.7.1"
+description = "Render rich text, tables, progress bars, syntax highlighting, markdown and more to the terminal"
+optional = true
+python-versions = ">=3.7.0"
+files = [
+    {file = "rich-13.7.1-py3-none-any.whl", hash = "sha256:4edbae314f59eb482f54e9e30bf00d33350aaa94f4bfcd4e9e3110e64d0d7222"},
+    {file = "rich-13.7.1.tar.gz", hash = "sha256:9be308cb1fe2f1f57d67ce99e95af38a1e2bc71ad9813b0e247cf7ffbcc3a432"},
+]
+
+[package.dependencies]
+markdown-it-py = ">=2.2.0"
+pygments = ">=2.13.0,<3.0.0"
+
+[package.extras]
+jupyter = ["ipywidgets (>=7.5.1,<9)"]
+
 [[package]]
 name = "rustworkx"
 version = "0.14.2"
@@ -2320,7 +2565,7 @@ files = [
 name = "types-requests"
 version = "2.31.0.20240406"
 description = "Typing stubs for requests"
-optional = false
+optional = true
 python-versions = ">=3.8"
 files = [
     {file = "types-requests-2.31.0.20240406.tar.gz", hash = "sha256:4428df33c5503945c74b3f42e82b181e86ec7b724620419a2966e2de604ce1a1"},
@@ -2358,6 +2603,24 @@ h2 = ["h2 (>=4,<5)"]
 socks = ["pysocks (>=1.5.6,!=1.5.7,<2.0)"]
 zstd = ["zstandard (>=0.18.0)"]
 
+[[package]]
+name = "wasmtime"
+version = "19.0.0"
+description = "A WebAssembly runtime powered by Wasmtime"
+optional = true
+python-versions = ">=3.8"
+files = [
+    {file = "wasmtime-19.0.0-py3-none-any.whl", hash = "sha256:229075695c97d3220336ab08a0cf6350c6f29b29663b3530d25a9d8aa59db801"},
+    {file = "wasmtime-19.0.0-py3-none-macosx_10_13_x86_64.whl", hash = "sha256:43fb95b952b4387a852834477d8d094f3891cdccd4c0f6c8833cfafb5ec8d35b"},
+    {file = "wasmtime-19.0.0-py3-none-macosx_11_0_arm64.whl", hash = "sha256:6e0625e3d9b5fa850f6098fad3d081f496095f4705c76bf88144d3dec20e6557"},
+    {file = "wasmtime-19.0.0-py3-none-manylinux1_x86_64.whl", hash = "sha256:d844128add3ba40d3a667115812ed8064089a76e775c49dc4d43dcf034c15436"},
+    {file = "wasmtime-19.0.0-py3-none-manylinux2014_aarch64.whl", hash = "sha256:85890d926adad42dbfe5a772796f452fc42f87a4fda3b982cea842c52dbf734f"},
+    {file = "wasmtime-19.0.0-py3-none-win_amd64.whl", hash = "sha256:7b8eb96d270e042442389a3d13c1d51b44c55e5d53c27e33a934d22ef6e2a95f"},
+]
+
+[package.extras]
+testing = ["coverage", "pycparser", "pytest", "pytest-mypy"]
+
 [[package]]
 name = "websocket-client"
 version = "1.7.0"
@@ -2456,10 +2719,10 @@ files = [
 ]
 
 [extras]
-docs = ["sphinx", "sphinx-book-theme"]
-tests = ["flake8", "mypy", "pytest", "pytest-cov", "pytket-quantinuum", "qiskit-ibm-provider"]
+docs = ["pytket-quantinuum", "sphinx", "sphinx-book-theme"]
+tests = ["flake8", "mypy", "pytest", "pytest-cov", "pytket-pecos", "pytket-quantinuum", "qiskit-ibm-provider"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10, <3.13"
-content-hash = "a68761a5658cd51dc14895ccdc65e026a4a58ba96da017de6187f08f129e9c42"
+content-hash = "98bcd9d407e1ed2f92c25275fad297d639be6d31471d0bde8b2c0c200b0738c4"
diff --git a/pyproject.toml b/pyproject.toml
index afd3b2ed..0c553efb 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -15,7 +15,7 @@ readme = "README.md"
 
 [tool.poetry.dependencies]
 python = ">=3.10, <3.13"
-pytket-qiskit = "^0.50.0"
+pytket-qiskit = "0.50"
 matplotlib = "^3.8.3"
 
 pytest = {version="^8.1.1", optional=true}
@@ -25,8 +25,9 @@ sphinx = {version="^7.2.6", optional=true}
 pytest-cov = {version="^4.1.0", optional=true}
 sphinx-book-theme = {version="^1.1.2", optional=true}
 qiskit-ibm-provider = {version="^0.10.0", optional=true}
-pytket-quantinuum = "0.32"
+pytket-quantinuum = {version="0.32", optional=true}
+pytket-pecos = {version="^0.1.23", optional=true}
 
 [tool.poetry.extras]
-tests = ["pytest", "mypy", "flake8", "pytest-cov", "qiskit-ibm-provider", "pytket-quantinuum"]
+tests = ["pytest", "mypy", "flake8", "pytest-cov", "qiskit-ibm-provider", "pytket-quantinuum", "pytket-pecos"]
 docs = ["sphinx", "sphinx-book-theme", "pytket-quantinuum"]

From 0128d3a510844b69426fb0a50de5ea1a635216b2 Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 9 Apr 2024 14:20:08 +0100
Subject: [PATCH 6/8] Move wasm

---
 poetry.lock                                    |  17 ++++++++++++++++-
 pyproject.toml                                 |   1 +
 .../h_series_randomisation.py                  |   5 +++--
 .../frame_randomisation}/qermit_rus.wasm       | Bin
 4 files changed, 20 insertions(+), 3 deletions(-)
 rename {qermit_rus/target/wasm32-unknown-unknown/release => qermit/frame_randomisation}/qermit_rus.wasm (100%)

diff --git a/poetry.lock b/poetry.lock
index 415c4a6f..602ec181 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -710,6 +710,21 @@ files = [
     {file = "imagesize-1.4.1.tar.gz", hash = "sha256:69150444affb9cb0d5cc5a92b3676f0b2fb7cd9ae39e947a5e11a36b4497cd4a"},
 ]
 
+[[package]]
+name = "importlib-resources"
+version = "6.4.0"
+description = "Read resources from Python packages"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "importlib_resources-6.4.0-py3-none-any.whl", hash = "sha256:50d10f043df931902d4194ea07ec57960f66a80449ff867bfe782b4c486ba78c"},
+    {file = "importlib_resources-6.4.0.tar.gz", hash = "sha256:cdb2b453b8046ca4e3798eb1d84f3cce1446a0e8e7b5ef4efb600f19fc398145"},
+]
+
+[package.extras]
+docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (<7.2.5)", "sphinx (>=3.5)", "sphinx-lint"]
+testing = ["jaraco.test (>=5.4)", "pytest (>=6)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-mypy", "pytest-ruff (>=0.2.1)", "zipp (>=3.17)"]
+
 [[package]]
 name = "iniconfig"
 version = "2.0.0"
@@ -2725,4 +2740,4 @@ tests = ["flake8", "mypy", "pytest", "pytest-cov", "pytket-pecos", "pytket-quant
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10, <3.13"
-content-hash = "98bcd9d407e1ed2f92c25275fad297d639be6d31471d0bde8b2c0c200b0738c4"
+content-hash = "4d036a0dc63ff867ce5345cca9f60a14aa326578a1e59d75fd4d63e97a56270c"
diff --git a/pyproject.toml b/pyproject.toml
index 0c553efb..4e15aa54 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -17,6 +17,7 @@ readme = "README.md"
 python = ">=3.10, <3.13"
 pytket-qiskit = "0.50"
 matplotlib = "^3.8.3"
+importlib-resources = "^6.4.0"
 
 pytest = {version="^8.1.1", optional=true}
 mypy = {version="^1.9.0", optional=true}
diff --git a/qermit/frame_randomisation/h_series_randomisation.py b/qermit/frame_randomisation/h_series_randomisation.py
index 172ad089..1bcfc57f 100644
--- a/qermit/frame_randomisation/h_series_randomisation.py
+++ b/qermit/frame_randomisation/h_series_randomisation.py
@@ -2,12 +2,13 @@
 import itertools
 from pytket.unit_id import BitRegister, QubitRegister
 from pathlib import Path
+import importlib_resources
 
 
 def get_wfh():
 
-    rus_dir = Path("/Users/daniel.mills/Qermit/qermit_rus/target/wasm32-unknown-unknown/release")
-    wasm_file = rus_dir.joinpath('qermit_rus.wasm')
+    package_path = importlib_resources.files("qermit")
+    wasm_file = f"{package_path}/frame_randomisation/qermit_rus.wasm"
     return wasm.WasmFileHandler(wasm_file)
 
 
diff --git a/qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm b/qermit/frame_randomisation/qermit_rus.wasm
similarity index 100%
rename from qermit_rus/target/wasm32-unknown-unknown/release/qermit_rus.wasm
rename to qermit/frame_randomisation/qermit_rus.wasm

From 016c1dda367ba74c517812bb814aa923d988ad7e Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 9 Apr 2024 14:29:54 +0100
Subject: [PATCH 7/8] Remove editable install of qermit

---
 .github/workflows/build_and_test.yml | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
index cd107ec8..e3dd5ec2 100644
--- a/.github/workflows/build_and_test.yml
+++ b/.github/workflows/build_and_test.yml
@@ -25,7 +25,7 @@ jobs:
     - name: Build qermit
       if: github.event_name == 'pull_request'
       run: |
-        pip install -e .[tests] -v
+        pip install .[tests] -v
     - name: Test qermit 
       if: github.event_name == 'pull_request'
       run: |
@@ -39,7 +39,7 @@ jobs:
       - name: Checkout
         uses: actions/checkout@v4
       - name: Install Qermit
-        run: pip install -e .[docs] -v
+        run: pip install .[docs] -v
       - name: Build Docs
         run: |
           cd docs_src

From 4abf84f9a9c439f157c24553c1a0c04b01e81e98 Mon Sep 17 00:00:00 2001
From: Dan Mills <52407433+daniel-mills-cqc@users.noreply.github.com>
Date: Tue, 9 Apr 2024 20:15:50 +0100
Subject: [PATCH 8/8] Make pytket-quantinuum required dep

---
 poetry.lock                                    | 18 +++++++++---------
 pyproject.toml                                 |  6 +++---
 .../h_series_randomisation.py                  |  7 ++++---
 qermit/noise_model/noise_model.py              |  6 +++---
 qermit/noise_model/transpiler_backend.py       |  2 +-
 5 files changed, 20 insertions(+), 19 deletions(-)

diff --git a/poetry.lock b/poetry.lock
index 602ec181..3787f78d 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1066,7 +1066,7 @@ tests = ["pytest (>=4.6)"]
 name = "msal"
 version = "1.28.0"
 description = "The Microsoft Authentication Library (MSAL) for Python library enables your app to access the Microsoft Cloud by supporting authentication of users with Microsoft Azure Active Directory accounts (AAD) and Microsoft Accounts (MSA) using industry standard OAuth2 and OpenID Connect."
-optional = true
+optional = false
 python-versions = ">=3.7"
 files = [
     {file = "msal-1.28.0-py3-none-any.whl", hash = "sha256:3064f80221a21cd535ad8c3fafbb3a3582cd9c7e9af0bb789ae14f726a0ca99b"},
@@ -1143,7 +1143,7 @@ files = [
 name = "nest-asyncio"
 version = "1.6.0"
 description = "Patch asyncio to allow nested event loops"
-optional = true
+optional = false
 python-versions = ">=3.5"
 files = [
     {file = "nest_asyncio-1.6.0-py3-none-any.whl", hash = "sha256:87af6efd6b5e897c81050477ef65c62e2b2f35d51703cae01aff2905b1852e1c"},
@@ -1644,7 +1644,7 @@ diagrams = ["jinja2", "railroad-diagrams"]
 name = "pyqir"
 version = "0.10.0"
 description = "PyQIR parses, generates and evaluates the Quantum Intermediate Representation."
-optional = true
+optional = false
 python-versions = ">=3.8"
 files = [
     {file = "pyqir-0.10.0-cp38-abi3-macosx_10_9_x86_64.whl", hash = "sha256:b2fd7bb4bd45fa601ac92099c4e82d8f02e092a44d413d1dad7fa555fafa40b8"},
@@ -1809,7 +1809,7 @@ tests = ["pytest"]
 name = "pytket-qir"
 version = "0.9.0"
 description = "Extension for pytket, providing functions for conversion into to qir"
-optional = true
+optional = false
 python-versions = ">=3.10"
 files = [
     {file = "pytket_qir-0.9.0-py3-none-any.whl", hash = "sha256:2ecd74db10eb6aaccd9fe7c80635b1d368d1a1f70cdcc5e4a30abf661cff8424"},
@@ -1842,7 +1842,7 @@ qiskit-ibm-runtime = ">=0.21.0,<0.22.0"
 name = "pytket-quantinuum"
 version = "0.32.0"
 description = "Extension for pytket, providing access to Quantinuum backends"
-optional = true
+optional = false
 python-versions = ">=3.10"
 files = [
     {file = "pytket_quantinuum-0.32.0-py3-none-any.whl", hash = "sha256:31f6c6482fb24a854a41b2ca8e653a43c02c2a7090c86c17d38ccacfb1409ebb"},
@@ -2580,7 +2580,7 @@ files = [
 name = "types-requests"
 version = "2.31.0.20240406"
 description = "Typing stubs for requests"
-optional = true
+optional = false
 python-versions = ">=3.8"
 files = [
     {file = "types-requests-2.31.0.20240406.tar.gz", hash = "sha256:4428df33c5503945c74b3f42e82b181e86ec7b724620419a2966e2de604ce1a1"},
@@ -2734,10 +2734,10 @@ files = [
 ]
 
 [extras]
-docs = ["pytket-quantinuum", "sphinx", "sphinx-book-theme"]
-tests = ["flake8", "mypy", "pytest", "pytest-cov", "pytket-pecos", "pytket-quantinuum", "qiskit-ibm-provider"]
+docs = ["sphinx", "sphinx-book-theme"]
+tests = ["flake8", "mypy", "pytest", "pytest-cov", "pytket-pecos", "qiskit-ibm-provider"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10, <3.13"
-content-hash = "4d036a0dc63ff867ce5345cca9f60a14aa326578a1e59d75fd4d63e97a56270c"
+content-hash = "4b3445859e208601bc5f45fa667814609b151b88a2739d3a1fbd135031ff46c6"
diff --git a/pyproject.toml b/pyproject.toml
index 4e15aa54..01fe2bf9 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -18,6 +18,7 @@ python = ">=3.10, <3.13"
 pytket-qiskit = "0.50"
 matplotlib = "^3.8.3"
 importlib-resources = "^6.4.0"
+pytket-quantinuum = "^0.32"
 
 pytest = {version="^8.1.1", optional=true}
 mypy = {version="^1.9.0", optional=true}
@@ -26,9 +27,8 @@ sphinx = {version="^7.2.6", optional=true}
 pytest-cov = {version="^4.1.0", optional=true}
 sphinx-book-theme = {version="^1.1.2", optional=true}
 qiskit-ibm-provider = {version="^0.10.0", optional=true}
-pytket-quantinuum = {version="0.32", optional=true}
 pytket-pecos = {version="^0.1.23", optional=true}
 
 [tool.poetry.extras]
-tests = ["pytest", "mypy", "flake8", "pytest-cov", "qiskit-ibm-provider", "pytket-quantinuum", "pytket-pecos"]
-docs = ["sphinx", "sphinx-book-theme", "pytket-quantinuum"]
+tests = ["pytest", "mypy", "flake8", "pytest-cov", "qiskit-ibm-provider", "pytket-pecos"]
+docs = ["sphinx", "sphinx-book-theme"]
diff --git a/qermit/frame_randomisation/h_series_randomisation.py b/qermit/frame_randomisation/h_series_randomisation.py
index 1bcfc57f..5ed20996 100644
--- a/qermit/frame_randomisation/h_series_randomisation.py
+++ b/qermit/frame_randomisation/h_series_randomisation.py
@@ -21,8 +21,7 @@ def gen_h_series_randomised_circuit(circuit):
     for q_register in circuit.q_registers:
         randomised_circuit.add_q_register(q_register)
         for qubit in q_register:
-            randomisation_reg = randomised_circuit.add_c_register(f"randomisation_{qubit.to_list()}", 4)
-            randomisation_reg_dict[qubit] = randomisation_reg
+            randomisation_reg_dict[qubit] = randomised_circuit.add_c_register(f"randomisation_{qubit.to_list()}", 4)
     for c_register in circuit.c_registers:
         randomised_circuit.add_c_register(c_register)
 
@@ -46,8 +45,10 @@ def gen_h_series_randomised_circuit(circuit):
 
     for command in circuit:
 
+        randomisation_reg = randomisation_reg_dict[command.args[0]]
+
         if command.op.type == OpType.ZZMax:
-            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg_dict[command.args[0]]])
+            randomised_circuit.add_wasm_to_reg("write_randomisation", wfh, [], [randomisation_reg])
             randomised_circuit.Z(command.qubits[0], condition=randomisation_reg[0])
             randomised_circuit.Z(command.qubits[1], condition=randomisation_reg[1])
             randomised_circuit.X(command.qubits[0], condition=randomisation_reg[2])
diff --git a/qermit/noise_model/noise_model.py b/qermit/noise_model/noise_model.py
index 2a4c91a7..e6a79ff1 100644
--- a/qermit/noise_model/noise_model.py
+++ b/qermit/noise_model/noise_model.py
@@ -141,7 +141,7 @@ def to_ptm(self) -> Tuple[NDArray, Dict[Tuple[Pauli, ...], int]]:
         return ptm, pauli_index
 
     @classmethod
-    def from_ptm(cls, ptm: NDArray, pauli_index: Dict[Tuple[Pauli, ...], int]) -> ErrorDistribution:
+    def from_ptm(cls, ptm: NDArray, pauli_index: Dict[Tuple[Pauli, ...], int], rng: Generator = np.random.default_rng()) -> ErrorDistribution:
         """Convert a Pauli Transfer Matrix (PTM) to an error distribution.
 
         :param ptm: Pauli Transfer Matrix to convert. Should be a 4^n by 4^n matrix
@@ -201,7 +201,7 @@ def from_ptm(cls, ptm: NDArray, pauli_index: Dict[Tuple[Pauli, ...], int]) -> Er
             for error, index in pauli_index.items()
             if (error_rate_list[index] > 10**(-6)) and error != tuple(Pauli.I for _ in range(int(n_qubit)))
         }
-        return cls(distribution=distribution)
+        return cls(distribution=distribution, rng=rng)
 
     @property
     def n_qubits(self) -> int:
@@ -376,7 +376,7 @@ def scale(self, scaling_factor: float) -> ErrorDistribution:
 
         ptm, pauli_index = self.to_ptm()
         scaled_ptm = fractional_matrix_power(ptm, scaling_factor)
-        return ErrorDistribution.from_ptm(ptm=scaled_ptm, pauli_index=pauli_index)
+        return ErrorDistribution.from_ptm(ptm=scaled_ptm, pauli_index=pauli_index, rng=self.rng)
 
 
 class LogicalErrorDistribution:
diff --git a/qermit/noise_model/transpiler_backend.py b/qermit/noise_model/transpiler_backend.py
index 9cd3c8e9..b70fa651 100644
--- a/qermit/noise_model/transpiler_backend.py
+++ b/qermit/noise_model/transpiler_backend.py
@@ -120,7 +120,7 @@ def process_circuit(
         n_shots: int,
         **kwargs,
     ) -> ResultHandle:
-        """[summary]
+        """Run a single circuit.
 
         :param circuit: Submits circuit to run on noisy backend.
         :type circuit: Circuit