Cited by 1,419Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum many-body systems

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Entanglement measures and purification procedures

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Vedral, V., Plenio, M. B.·1998·Physical Review A

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Abstract

We improve previously proposed conditions each measure of entanglement has to satisfy. We present a class of entanglement measures that satisfy these conditions and show that the quantum relative entropy and Bures metric generate two measures of this class. We calculate the measures of entanglement for a number of mixed two spin-1/2 systems using the quantum relative entropy, and provide an efficient numerical method to obtain the measures of entanglement in this case. In addition, we prove a number of properties of our entanglement measure that have important physical implications. We briefly explain the statistical basis of our measure of entanglement in the case of the quantum relative entropy. We then argue that our entanglement measure determines an upper bound to the number of singlets that can be obtained by any purification procedure.

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Authors: Vedral, V., & Plenio, M. B.
Affiliations: Imperial College London (GB)
ORCID: Vedral, V.
Plenio, M. B.
Venue: Physical Review A
Publisher: American Physical Society (APS)
Published: 1998-03-01
Volume: 57
Issue: 3
Pages: 1619-1633
ISSN: 0556-2791 (ISSN-L)
1050-2947
1094-1622
DOI: 10.1103/physreva.57.1619
OpenAlex: W2025236523
Cited by: 1,419
References: 34
Citations by year: 2026: 27 · 2025: 49 · 2024: 38 · 2023: 76 · 2022: 51 · 2021: 42 · 2020: 44 · 2019: 60 · 2018: 58 · 2017: 57 · 2016: 45 · 2015: 54 · 2014: 42 · 2013: 39 · 2012: 47
FWCI: 55.54
Type: journal article
Language: en
Open access: bronze
doi.org
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)
Spiral (Imperial College London) (submittedVersion)
arXiv (Cornell University)
Funders: Alexander von Humboldt-Stiftung
Engineering and Physical Sciences Research Council
Topics: 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
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords: entanglement measures, purification procedure, quantum relative entropy, Bures metric, singlets, entanglement quantification

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Entanglement measures and purification procedures

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