Inseparable Two Spin-12Density Matrices Can Be Distilled to a Singlet Form
Abstract
A quantum system is called inseparable if its density matrix cannot be written as a mixture of product states. In this Letter we apply the separability criterion, local filtering, and Bennett et al. distillation protocol [Phys. Rev. Lett. 76, 722 (1996)] to show that any inseparable $2\ifmmode\times\else\texttimes\fi{}2$ system represents the entanglement which, however small, can be distilled to a singlet form.
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The spin chain acts as an amplitude damping quantum channel.
“The spin chain then acts as an amplitude damping quantum channel [8, 9].”
From Quantum Communication through an Unmodulated Spin Chain (2003) · cites this paper as [8]
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Self-citationDirect Estimations of Linear and Nonlinear Functionals of a Quantum State
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- Authors
- Horodecki, M., Horodecki, P., & Horodecki, R.
- Affiliations
- University of Gdańsk (PL)
- Gdańsk University of Technology (PL)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-01-27
- Volume
- 78
- Issue
- 4
- Pages
- 574-577
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1965303946
- Cited by
- 402
- References
- 5
- Citations by year
- 2026: 9 · 2025: 11 · 2024: 9 · 2023: 10 · 2022: 10 · 2021: 8 · 2020: 7 · 2019: 12 · 2018: 14 · 2017: 8 · 2016: 15 · 2015: 9 · 2014: 15 · 2013: 8 · 2012: 14
- FWCI
- 19.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- 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, singlet state, two-qubit systems, separability criteria, local filtering, entanglement, product states
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