File tree 1 file changed +6
-3
lines changed
1 file changed +6
-3
lines changed Original file line number Diff line number Diff line change @@ -115,14 +115,17 @@ The normalized Bures similarity (NBS) is defined as:
115
115
.. math ::
116
116
117
117
NBS(K_1 , K_2 ) = \frac {\mathcal {F}(K_1 , K_2 )}{\sqrt {\operatorname {Tr}[K_1 ] \operatorname {Tr}[K_2 ]}}
118
- \mathcal {F}(K_1 , K_2 ) = \operatorname {Tr}[(K_1 ^{1 /2 }K_2 K_1 ^{1 /2 })^{1 /2 }]
119
118
120
- and :math: `\mathcal {F}` is known as the fidelity.
119
+ where :math: `\mathcal {F}` is known as the fidelity.
120
+
121
+ .. math ::
122
+
123
+ \mathcal {F}(K_1 , K_2 ) = \operatorname {Tr}[(K_1 ^{1 /2 }K_2 K_1 ^{1 /2 })^{1 /2 }]
121
124
122
125
and relatedly the Bures distance :math: `\mathcal {B}`, a proper metric is defined as:
123
126
124
127
.. math ::
125
- \mathcal {B}^2 (K_1 , K_2 ) = \operatorname {Tr}[K_1 ] \operatorname {Tr}[K_2 ] - 2 \operatorname {Tr}[(K_1 ^{1 /2 }K_2 K_1 ^{1 /2 })^{1 /2 }]
128
+ \mathcal {B}^2 (K_1 , K_2 ) = \operatorname {Tr}[K_1 ] + \operatorname {Tr}[K_2 ] - 2 \operatorname {Tr}[(K_1 ^{1 /2 }K_2 K_1 ^{1 /2 })^{1 /2 }]
126
129
127
130
128
131
You can’t perform that action at this time.
0 commit comments