Average fidelity between random quantum states

Journal Article · Tue Mar 01 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.032313· OSTI ID:20650351

Zyczkowski, Karol ^[1]; Sommers, Hans-Juergen ^[2]

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1. Instytut Fizyki im. Smoluchowskiego, Uniwersytet Jagiellonski, ulica Reymonta 4, 30-059 Cracow (Poland)
2. Fachbereich Physik, Universitaet Duisburg-Essen, Campus Essen, 45117 Essen (Germany)

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: the Hilbert-Schmidt measure, the Bures (statistical) measure, the measure induced by the partial trace, and the natural measure on the space of pure states. In certain cases explicit probability distributions for the fidelity are derived. The results obtained may be used to gauge the quality of quantum-information-processing schemes.

• OSTI ID: 20650351
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
DATA PROCESSING
DENSITY MATRIX
DISTRIBUTION
ENERGY LEVELS
INFORMATION THEORY
PROBABILITY
QUANTUM MECHANICS
QUANTUM NUMBERS
RANDOMNESS
SPACE