The DOI matches its Crossref record; 46 of the 46 references it cites were found in a registry or an index.
Logarithmic Negativity: A Full Entanglement Monotone That is not Convex
Open accessAbstract
It is proven that logarithmic negativity does not increase on average under a general positive partial transpose preserving operation (a set of operations that incorporate local operations and classical communication as a subset) and, in the process, a further proof is provided that the negativity does not increase on average under the same set of operations. Given that the logarithmic negativity is not a convex function this result is surprising, as it is generally considered that convexity describes the local physical process of losing information. The role of convexity and, in particular, its relation (or lack thereof) to physical processes is discussed and importance of continuity in this context is stressed.
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“For the quantum discord, note that the state (140) belongs to the subclass known as 'X-states', for which the optimization problem in equation ( 152) can be efficiently solved [230,245].”
From Quantum non-Markovianity: characterization, quantification and detection (2014) · cites this paper as [245]
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“D Q A [ρ SA (t)] = Q E (t,0) ,(158)”
From Quantum non-Markovianity: characterization, quantification and detection (2014) · cites this paper as [245]
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Citations
Cites
Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Mixed-state entanglement and quantum error correction
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Separability Criterion for Density Matrices
Peres, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1413 · Cited by 5,191
Computable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 5,006
Separability of mixed states: necessary and sufficient conditions
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Concentrating partial entanglement by local operations
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Bhatia, R. (1997) · Graduate texts in mathematics · doi:10.1007/978-1-4612-0653-8 · Cited by 2,334
(1996) · Cited by 2,280
Cited by
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Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Weedbrook, C., Pirandola, S., García−Patrón, R., Cerf, N. J., Ralph, T. C., Shapiro, J. H., & Lloyd, S. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.621 · Cited by 3,843
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-citationGühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Metadata
- Authors
- Plenio, M. B.
- Affiliations
- Imperial College London (GB)
- Corresponding author
- Plenio, M. B.
- ORCID
- Plenio, M. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-08-26
- Volume
- 95
- Issue
- 9
- Pages
- 090503-090503
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1979369481
- Semantic Scholar
- 64435b0cfa00fafcfdca6d566eaca7dd6a824169
- Cited by
- 1,530
- References
- 42
- Citations by year
- 2026: 107 · 2025: 187 · 2024: 148 · 2023: 172 · 2022: 144 · 2021: 78 · 2020: 86 · 2019: 76 · 2018: 68 · 2017: 63 · 2016: 70 · 2015: 65 · 2014: 45 · 2013: 32 · 2012: 28
- FWCI
- 25.35
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- Spiral (Imperial College London) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Leverhulme Trust
- 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
- logarithmic negativity, entanglement monotones, non-convexity, positive partial transpose, local operations and classical communication, quantum entanglement, information loss
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