An exact correspondence between the quantum Fisher information and the Bures metric

Abstract

The quantum information and the Bures metric are equivalent to each other, except at points where the rank of the density matrix changes. Here we show that by slightly modifying the definition of the Bures metric, the quantum information will be fully equivalent to the Bures metric without exception.

5 pages

References in corpus (1)

• Fisher information under decoherence in Bloch representation

Cited by in corpus (1)

• Certifying the quantum Fisher information from a given set of mean values: a semidefinite programming approach