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Cited by 609Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum many-body systems

Monogamy of quantum entanglement and other correlations

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Koashi, Masato, Winter, Andreas·2004·Physical Review A
DOI 10.1103/physreva.69.022309
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Abstract

It has been observed by numerous authors that a quantum system being entangled with another one limits its possible entanglement with a third system: this has been dubbed the ``monogamous nature of entanglement.'' In this paper we present a simple identity which captures the trade off between entanglement and classical correlation, which can be used to derive rigorous monogamy relations. We also prove various other trade offs of a monogamy nature for other entanglement measures and secret and total correlation measures.

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Crossref · 10.1103/physreva.69.022309

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  • Strong sub-additivity of entanglement entropy prevents simultaneous maximal entanglement of a system with two other systems.

    “The strong sub-additivity property of the entanglement entropy would prevent simultaneous maximal entanglement of a system with two other systems [210].”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [210]

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Authors
Koashi, M., & Winter, A.
Affiliations
  • The Graduate University for Advanced Studies, SOKENDAI (JP)
  • University of Bristol (GB)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2004-02-18
Volume
69
Issue
2
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.69.022309
OpenAlex
W1657558194
Cited by
609
References
1
Citations by year
2026: 13 · 2025: 21 · 2024: 21 · 2023: 60 · 2022: 36 · 2021: 38 · 2020: 30 · 2019: 33 · 2018: 37 · 2017: 33 · 2016: 56 · 2015: 31 · 2014: 50 · 2013: 37 · 2012: 37
FWCI
7.78
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Bristol Research (University of Bristol) (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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
monogamy of entanglement, quantum entanglement, classical correlations, total correlation, entanglement measures, monogamy inequalities, quantum correlations

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