Average fidelity between random quantum states
Open accessAbstract
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.
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In the limit of large n, F_n approaches D^{-1}, as may be expected from the average fidelity between random states.
“In the limit of large n , we see that F n → D -1 , as may be expected from the average fidelity between random states [16].”
From Scalable noise estimation with random unitary operators (2005) · cites this paper as [16]
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References 29 · Cited by 135
Research works printed but not linked: 1
- [1]D. J. C. Bures, Trans. Am. Math. Soc. 135 , 199 (1969).
- Authors
- Życzkowski, K., & Sommers, H.-J.
- Affiliations
- Jagiellonian University (PL)
- University of Duisburg-Essen (DE)
- ORCID
- Życzkowski, Karol
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-03-15
- Volume
- 71
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1982067110
- Cited by
- 135
- References
- 29
- Citations by year
- 2026: 15 · 2025: 11 · 2024: 18 · 2023: 16 · 2022: 10 · 2021: 16 · 2020: 5 · 2019: 5 · 2018: 5 · 2016: 3 · 2015: 1 · 2014: 4 · 2013: 2
- FWCI
- 5.61
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Jagiellonian University Repository (Jagiellonian University) (submittedVersion, cc-by-nc-nd)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- average fidelity, random quantum states, partial trace, mixed quantum states, quantum information processing
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