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Approximate Quantum Error Correction
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AbstractThe errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate quantum error correction is possible. PACS: 03.67.H, 03.65.U
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“Suppose one feeds a black hole (with externally entangled states) at the Hawking-emission rate for an arbitrarily long time. Then, Hawking's semi-classical analysis would predict that such a black hole, of a fixed size, could contain an unbounded amount of entropy, associated with the states of the in-fallen matter.”
From Quantum Information Cannot Be Completely Hidden in Correlations: Implications for the Black-Hole Information Paradox (2007) · cites this paper as [20]
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Metadata
- Authors
- Schumacher, B., & Westmoreland, M. D.
- Affiliations
- Kenyon College (US)
- Denison University (US)
- Venue
- Quantum Information Processing
- Published
- 2002-04
- Volume
- 1
- Issue
- 1-2
- Pages
- 5-12
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W1828074370
- Cited by
- 142
- References
- 5
- Citations by year
- 2026: 6 · 2025: 6 · 2024: 13 · 2023: 7 · 2022: 8 · 2021: 8 · 2020: 8 · 2019: 2 · 2018: 6 · 2017: 3 · 2016: 8 · 2015: 3 · 2014: 5 · 2013: 8 · 2012: 7
- FWCI
- 2.06
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Quantum Information Processing (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Digital Kenyon (Kenyon College) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- approximate quantum error correction, quantum channels, coherent information, quantum channel capacity, quantum error correction
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