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Entanglement measures and purification procedures
Open accessAbstract
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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“Another quantifier of quantum correlations in such states is the so called relative entropy [6] defined as the 'distance' between the density matrix ρ and the density matrix σ of the closest disentangled state”
From Biphoton ququarts as either pure or mixed states, features and reconstruction from coincidence measurements (2013) · cites this paper as [6]
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Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2001) · Wiley eBooks · doi:10.1002/0471200611 · Cited by 37,139
Rockafellar, R. T. (1970) · Princeton University Press eBooks · doi:10.1515/9781400873173 · Cited by 10,843
Mixed-state entanglement and quantum error correction
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996) · Physical Review A · doi:10.1103/physreva.54.3824 · Cited by 5,272
Separability of mixed states: necessary and sufficient conditions
Horodecki, M., Horodecki, P., & Horodecki, R. (1996) · Physics Letters A · doi:10.1016/s0375-9601(96)00706-2 · Cited by 3,649
Concentrating partial entanglement by local operations
Bennett, C. H., Bernstein, H. J., Popescu, S., & Schumacher, B. W. (1996) · Physical Review A · doi:10.1103/physreva.53.2046 · Cited by 3,151
Elements of Information Theory
Jacobs, K. (1992) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8645-1_7 · Cited by 2,957
Entanglement of a pair of quantum bits
Hill, S., & Wootters, W. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.5022 · Cited by 2,823
Quantum Theory: Concepts and Methods
Peres, A., & Ballentine, L. E. (1995) · American Journal of Physics · doi:10.1119/1.17946 · Cited by 2,561
Vedral, V., Plenio, M. B., Rippin, M. A., & Knight, P. L. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2275 · Cited by 1,967
Self-citationWehrl, A. (1978) · Reviews of Modern Physics · doi:10.1103/revmodphys.50.221 · Cited by 1,963
Flagged first, then by citations
Research works printed but not linked: 1
- M. Reed, 1980, Methods of Modern Mathematical Physics–Functional Analysis
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Computable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 5,006
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Self-citationBaumgratz, T., Cramer, M., & Plenio, M. B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.140401 · Cited by 2,721
Self-citationCoffman, V., Kundu, J., & Wootters, W. K. (2000) · Physical Review A · doi:10.1103/physreva.61.052306 · Cited by 2,619
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Classical, quantum and total correlations
Henderson, L., & Vedral, V. (2001) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/34/35/315 · Cited by 2,344
Self-citationAdvances in quantum cryptography
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Colloquium : Quantum coherence as a resource
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Self-citationLogarithmic Negativity: A Full Entanglement Monotone That is not Convex
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Self-citationAdvances in Quantum Cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2019) · White Rose Research Online (University of Leeds, The University of Sheffield, University of York) · Cited by 1,566
Entanglement in a simple quantum phase transition
Osborne, T. J., & Nielsen, M. A. (2002) · Physical Review A · doi:10.1103/physreva.66.032110 · Cited by 1,472
Volume of the set of separable states
Życzkowski, K., Horodecki, P., Sanpera, A., & Lewenstein, M. (1998) · Physical Review A · doi:10.1103/physreva.58.883 · Cited by 1,411
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Using measurement-induced disturbance to characterize correlations as classical or quantum
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.022301 · Cited by 667
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Maruyama, K., Nori, F., & Vedral, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1 · Cited by 629
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Groisman, B., Popescu, S., & Winter, A. (2005) · Physical Review A · doi:10.1103/physreva.72.032317 · Cited by 632
Vidal, G., & Tarrach, R. (1999) · Physical Review A · doi:10.1103/physreva.59.141 · Cited by 601
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Oppenheim, J., Horodecki, M., Horodecki, P., & Horodecki, R. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.180402 · Cited by 542
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Bennett, C. H., & Shor, P. W. (1998) · IEEE Transactions on Information Theory · doi:10.1109/18.720553 · Cited by 372
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Self-citationEntanglement-Assisted Local Manipulation of Pure Quantum States
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Self-citationEntanglement of purification through holographic duality
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Metadata
- Authors
- Vedral, V., & Plenio, M. B.
- Affiliations
- Imperial College London (GB)
- 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
- 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
- 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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