Bures Metric - Definition

Definition

The metric may be defined as


^2 = \frac{1}{2}\mbox{tr}( d \rho G ),

where is Hermitian 1-form operator implicitly given by

 \rho G + G \rho = d \rho^{\,}

Some of the applications of the Bures metric include that given a target error, it allows the calculation of the minimum number of measurements to distinguish two different states and the use of the volume element as a candidate for the Jeffreys prior probability density for mixed quantum states.

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