Concurrence of mixed bipartite quantum states in arbitrary dimensions
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We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary dimensions. As a corollary, a weaker, purely algebraic estimate is found, which detects mixed entangled states with a positive partial transpose.
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Concurrence can be bounded from below by suitable approximations.
“However, as we will show now, concurrence can be bounded from below, by some suitable approximations [30,31].”
From Measures and dynamics of entangled states (2005) · cites this paper as [30]
One is left with an optimisation problem on a 2m-dimensional parameter space, where m is the number of matrices Tα in Eq. (75).
“Thus, one is left with an optimisation problem on an 2 m -dimensional parameter space [30], where m is the number of matrices T α in Eq. (75).”
From Measures and dynamics of entangled states (2005) · cites this paper as [30]
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Cites
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Research works printed but not linked: 3
- [12]A. Uhlmann, Open Sys. Info. Dyn. 5(3) , 209 (1998).
- [13]E. Schr¨ odinger, Proc. Cambridge Philos. Soc 32 , 446 (1936).
- [17]F. Mintert, Ph.D. thesis, Ludwig-MaximiliansUniversit¨ at M¨ unchen (submitted) (2004).
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Measures and dynamics of entangled states
Mintert, F., Carvalho, A. R. R., Kuś, M., & Buchleitner, A. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.04.006 · Cited by 420 · see citing works
Self-citation
- Authors
- Mintert, F., Kuś, M., & Buchleitner, A.
- Affiliations
- Center for Theoretical Physics (PL)
- Max Planck Institute for the Physics of Complex Systems (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-04-23
- Volume
- 92
- Issue
- 16
- Pages
- 167902-167902
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2043671058
- Cited by
- 246
- References
- 17
- Citations by year
- 2026: 3 · 2025: 9 · 2024: 7 · 2023: 16 · 2022: 14 · 2021: 15 · 2020: 12 · 2019: 12 · 2018: 10 · 2017: 9 · 2016: 10 · 2015: 5 · 2014: 8 · 2013: 9 · 2012: 7
- FWCI
- 17.19
- 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)
- Max Planck Institute for Plasma Physics (submittedVersion)
- MPG.PuRe (Max Planck Society) (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
- concurrence, lower bounds, arbitrary dimensions, entanglement measures, positive partial transpose, mixed entangled states
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