The capacity of the quantum channel with general signal states
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It is shown that the capacity of a classical-quantum channel with arbitrary (possibly mixed) states equals the maximum of the entropy bound with respect to all a priori distributions. This completes the recent result of Hausladen, Jozsa, Schumacher, Westmoreland, and Wootters (1996), who proved the equality for the pure state channel.
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The achievable rate for the transmission of quantum data over a quantum channel is given by the Lloyd-Shor-Devetak (LSD) coding theorem.
“Also, regarding the transmission of quantum data over a quantum channel, the achievable rate is given by the Lloyd-Shor-Devetak (LSD) coding theorem [124,137].”
From Quantum Machine Learning for 6G Communication Networks: State-of-the-Art and Vision for the Future (2019) · cites this paper as [137]
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- Authors
- Holevo, A. S.
- Affiliations
- Steklov Mathematical Institute (RU)
- Corresponding author
- Holevo, A.S.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1998
- Volume
- 44
- Issue
- 1
- Pages
- 269-273
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2154564336
- Cited by
- 1,176
- References
- 3
- Citations by year
- 2026: 32 · 2025: 48 · 2024: 48 · 2023: 47 · 2022: 56 · 2021: 54 · 2020: 57 · 2019: 44 · 2018: 50 · 2017: 38 · 2016: 52 · 2015: 34 · 2014: 50 · 2013: 43 · 2012: 46
- FWCI
- 29.94
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- IEEE Transactions on Information Theory (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum channel capacity, classical-quantum channels, entropy bounds, a priori distribution, quantum information
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