General Monogamy Inequality for Bipartite Qubit Entanglement
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We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and Wootters. We relate this monogamy inequality to the concept of frustration of correlations in quantum spin systems.
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The authors observe the influence of monogamy in this strongly correlated quantum system.
“We also observe the influence of monogamy[31, 32] in this strongly correlated quantum system.”
From Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems (2011) · cites this paper as [32]
Due to the monogamy relation, a particle can only share one unit of entanglement (singlet) with its neighbors, so it spreads entanglement optimally with all neighbors, leading to a strongly correlated ground state.
“But, due to the monogamy relation a particle can only share one unit of entanglement (singlet) with its neighbors. Therefore, it will spread entanglement in an optimal way with all its neighbors leading to a strongly correlated ground state[32].”
From Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems (2011) · cites this paper as [32]
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- Authors
- Osborne, T. J., & Verstraete, F.
- Affiliations
- University of Bristol (GB)
- California Institute of Technology (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-07
- Volume
- 96
- Issue
- 22
- Pages
- 220503-220503
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2054070842
- Cited by
- 733
- References
- 21
- Citations by year
- 2026: 19 · 2025: 43 · 2024: 35 · 2023: 68 · 2022: 32 · 2021: 34 · 2020: 30 · 2019: 66 · 2018: 43 · 2017: 41 · 2016: 50 · 2015: 25 · 2014: 35 · 2013: 21 · 2012: 43
- FWCI
- 32.53
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
- CaltechAUTHORS (California Institute of Technology) (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
- monogamy of entanglement, bipartite entanglement, qubit entanglement, concurrence, multipartite quantum states, quantum spin systems
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