Irreversibility in Asymptotic Manipulations of Entanglement
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We show that the process of entanglement distillation is irreversible by showing that the entanglement cost of a bound entangled state is finite. Such irreversibility remains even if extra pure entanglement is loaned to assist the distillation process.
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Quantum correlations do not increase under renormalization group transformations.
“Furthermore, such a connection can be exploited to unveil a fundamental law for entanglement in spin systems -namely, that quantum correlations do not increase under renormalization group transformations.”
From Entanglement in Quantum Critical Phenomena (2003) · cites this paper as [29]
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Research works printed but not linked: 3
- [5]M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 84 , 4260 (2000). This paper shows that for a family of states the process of distillation is irreversible. However, the proof of this statement is based on the results of E. M. Rains, Phys. Rev. A 60 , 179 (1999), which were corrected in an erratum (E. M. Rains, Phys. Rev. A 63 , 019902(E), see also K.G. H. Vollbrecht and R.F. Werner, quant-ph/0010095). As a consequence, the arguments leading to the statement that the process of distillation is irreversible are invalid. Thus, this question remains open. · arXiv
- V. Thapliyal, Phys. Rev. A 63, 012307 (2001), and will write LOCCc instead of ELOCC.
- [12]P. M. Hayden, M. Horodecki, and B. Terhal, quantph/0008134. M. A. Nielsen, Phys. Rev. A 61, 064301 (2000).
Cited by
Sorted by citations
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793 · see citing works
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Brandão, F. G. S. L., & Plenio, M. B. (2008) · Nature Physics · doi:10.1038/nphys1100 · Cited by 189 · see citing works
- Authors
- Vidal, G., & Cirac, J. I.
- Affiliations
- Universität Innsbruck (AT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-06-18
- Volume
- 86
- Issue
- 25
- Pages
- 5803-5806
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2007422996
- Cited by
- 110
- References
- 22
- Citations by year
- 2026: 6 · 2025: 13 · 2024: 7 · 2023: 3 · 2022: 2 · 2021: 3 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 3 · 2016: 4 · 2015: 2 · 2014: 4 · 2013: 4 · 2012: 2
- FWCI
- 10.02
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- entanglement distillation, irreversibility, bound entangled states, entanglement cost, quantum entanglement
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