Cited by 2,823Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum many-body systems

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Entanglement of a Pair of Quantum Bits

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Hill, Scott, Wootters, William K.·1997·Physical Review Letters

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Abstract

The ``entanglement of formation'' of a mixed state \ensuremath{\rho} of a bipartite quantum system can be defined as the minimum number of singlets needed to create an ensemble of pure states that represents \ensuremath{\rho}. We find an exact formula for the entanglement of formation for all mixed states of two qubits having no more than two nonzero eigenvalues, and we report evidence suggesting that the formula is valid for all states of this system.

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Authors: Hill, S., & Wootters, W. K.
Affiliations: Williams College (US)
ORCID: Hill, Scott
Wootters, William K.
Venue: Physical Review Letters
Publisher: American Physical Society (APS)
Published: 1997-06-30
Volume: 78
Issue: 26
Pages: 5022-5025
ISSN: 0031-9007 (ISSN-L)
1079-7114
DOI: 10.1103/physrevlett.78.5022
OpenAlex: W2073781628
Cited by: 2,823
References: 18
Citations by year: 2026: 102 · 2025: 141 · 2024: 127 · 2023: 165 · 2022: 126 · 2021: 132 · 2020: 92 · 2019: 108 · 2018: 92 · 2017: 117 · 2016: 134 · 2015: 110 · 2014: 116 · 2013: 93 · 2012: 103
FWCI: 17.04
Type: journal article
Language: en
Open access: green
arxiv.org
Licence: link.aps.org/licenses/aps-default-license (vor)
Locations: Physical Review Letters (publishedVersion)
arXiv (Cornell University) (submittedVersion)
CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
arXiv (Cornell University)
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 of formation, two-qubit systems, mixed states, singlets, bipartite quantum systems, exact formulas, quantum entanglement

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Entanglement of a Pair of Quantum Bits

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