Quantum Fisher - Bures information of two-level systems and a three-level extension
- 21 May 1996
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (10) , L271-L275
- https://doi.org/10.1088/0305-4470/29/10/008
Abstract
Braunstein and Caves have recently demonstrated that the Bures metric on the mixed quantum states is equivalent - up to a proportionality factor of four - to the statistical distinguishability or quantum Fisher information metric. The volume element of these metrics can then - adapting a fundamental Bayesian principle of Jeffreys to the quantum context - serve as a reparametrization-invariant prior measure over the quantum states. The implications of this line of reasoning for the two-level systems, in general, and an embedding of them into a certain set of three-level systems are investigated.Keywords
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