Average fidelity between random quantum states

Details Average fidelity between random quantum states Average fidelity between random quantum states

2003-11-18

arxiv.org/abs/quant-ph/0311117v4

Phys. Rev. A 71, 032313 (2005)

Physics

Quantum Physics

15 revtex pages with 4 figures; Ver. 2: another distribution derived, an extra figure included, Ver. 3: comments in introducti

Scientific paper

10.1103/PhysRevA.71.032313

We analyze mean fidelity between random density matrices of size N, generated with respect to various probability measures in the space of mixed quantum states: Hilbert-Schmidt measure, Bures (statistical) measure, the measures induced by partial trace and the natural measure on the space of pure states. In certain cases explicit probability distributions for fidelity are derived. Results obtained may be used to gauge the quality of quantum information processing schemes.

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