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Cited by 123Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureError Correcting Code Techniques

Tema con variazioni: quantum channel capacity

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Kretschmann, Dennis, Werner, Reinhard F·2004·New Journal of Physics
DOI 10.1088/1367-2630/6/1/026
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Abstract

Channel capacity describes the size of the nearly ideal channels, which can be obtained from many uses of a given channel, using an optimal error correcting code. In this paper we collect and compare minor and major variations in the mathematically precise statements of this idea which have been put forward in the literature. We show that all the variations considered lead to equivalent capacity definitions. In particular, it makes no difference whether one requires mean or maximal errors to go to zero, and it makes no difference whether errors are required to vanish for any sequence of block sizes compatible with the rate, or only for one infinite sequence.

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  • Approximate universal subspace quantum error correction implies full quantum error correction, up to a dimension-independent increase in the error size.

    “However, it is indeed true, up to a dimension-independent increase in the error size[63].”

    From Entanglement wedge reconstruction and the information paradox (2020) · cites this paper as [63]

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Authors
Kretschmann, D., & Werner, R. F.
Affiliations
Technische Universität Braunschweig (DE)
Venue
New Journal of Physics
Publisher
IOP Publishing
Published
2004-02-23
Volume
6
Pages
26-26
ISSN
1367-2630 (ISSN-L)
DOI
10.1088/1367-2630/6/1/026
OpenAlex
W1992717794
Cited by
123
References
4
Citations by year
2026: 1 · 2025: 4 · 2024: 5 · 2023: 1 · 2022: 6 · 2021: 9 · 2020: 6 · 2019: 7 · 2018: 7 · 2017: 3 · 2016: 4 · 2015: 4 · 2014: 5 · 2013: 4 · 2012: 4
FWCI
7.78
Type
journal article
Language
it
Open access
Licence
cc-by
Locations
  • New Journal of Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
Deutsche Forschungsgemeinschaft
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Computer Networks and Communications › Error Correcting Code Techniques
Keywords
quantum channel capacity, channel capacity, error-correcting codes, mean error, block size, rates

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