The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Approximate Quantum Error Correction
Open accessAbstract
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]
Citations
Cites
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2001) · Wiley eBooks · doi:10.1002/0471200611 · Cited by 37,139
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Sending entanglement through noisy quantum channels
Schumacher, B. W. (1996) · Physical Review A · doi:10.1103/physreva.54.2614 · Cited by 824
Self-citationQuantum data processing and error correction
Schumacher, B. W., & Nielsen, M. A. (1996) · Physical Review A · doi:10.1103/physreva.54.2629 · Cited by 689
Self-citationReversing quantum dynamics with near-optimal quantum and classical fidelity
Barnum, H., & Knill, E. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1459754 · Cited by 280
Reversing quantum dynamics with near-optimal quantum and classical fidelity
Barnum, H., & Knill, E. (2000) · arXiv · doi:10.48550/arxiv.quant-ph/0004088
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Wilde, M. M. (2013) · doi:10.1017/cbo9781139525343 · Cited by 1,138
The Private Classical Capacity and Quantum Capacity of a Quantum Channel
Devetak, I. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.839515 · Cited by 823
Bulk locality and quantum error correction in AdS/CFT
Almheiri, A., Dong, X., & Harlow, D. (2015) · Journal of High Energy Physics · doi:10.1007/jhep04(2015)163 · Cited by 802
“This essentially says that typical states in the code subspace can be reconstructed to accuracy ; following [30] we take this to be the definition of approximate error correction.”
BackgroundFujii, K. (2009) · Institute of Electrical and Electronics Engineers eBooks · doi:10.1109/9780470544907.ch24 · Cited by 642
Holographic duality from random tensor networks
Hayden, P., Nezami, S., Qi, X.-L., Thomas, N., Walter, M., & Yang, Z. (2016) · Journal of High Energy Physics · doi:10.1007/jhep11(2016)009 · Cited by 599
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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