Geometric interpretation for A-fidelity and its relation with Bures fidelity

Details Geometric interpretation for A-fidelity and its relation with Bures fidelity Geometric interpretation for A-fidelity and its relation with Bures fidelity

2008-09-10

arxiv.org/abs/0809.1786v2

Phys. Rev. A 78, 064305 (2008)

Physics

Quantum Physics

4 pages, 1 figure. Phys. Rev. A

Scientific paper

10.1103/PhysRevA.78.064305

A geometric interpretation for the A-fidelity between two states of a qubit
system is presented, which leads to an upper bound of the Bures fidelity. The
metrics defined based on the A-fidelity are studied by numerical method. An
alternative generalization of the A-fidelity, which has the same geometric
picture, to a $N$-state quantum system is also discussed.

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