Separable approximation for mixed states of composite quantum systems
Open accessAbstract
We describe a purely algebraic method for finding the best separable approximation to a mixed state of a composite $2\ifmmode\times\else\texttimes\fi{}2$ quantum system, consisting of a decomposition of the state into a linear combination of a mixed separable part and a pure entangled one. We prove that, in a generic case, the weight of the pure part in the decomposition equals the concurrence of the state.
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Only for bipartite two-level systems do a few entanglement measures exist that can be evaluated algebraically.
“Only for states of smallest possible dimensions, i.e., for bipartite two-level systems, do a few measures exist that can be evaluated algebraically [27,28,29]”
From Measures and dynamics of entangled states (2005) · cites this paper as [28]
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- Authors
- Wellens, T., & Kuś, M.
- Affiliations
- Center for Theoretical Physics (PL)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-02
- Volume
- 64
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2031889654
- Cited by
- 40
- References
- 14
- Citations by year
- 2025: 1 · 2024: 2 · 2022: 2 · 2021: 4 · 2020: 1 · 2018: 1 · 2017: 1 · 2015: 1 · 2014: 2
- FWCI
- 3.72
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Max Planck Digital Library (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
- separable approximation, mixed states, composite quantum systems, entanglement, concurrence, separable states, entangled states, state decomposition
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