Limitations to sharing entanglement

2011/12/31 by Jeong San Kim, Gilad Gour, Barry C. Sanders · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1080/00107514.2012.725560

published as Contemporary Physics 53:5 417-432 (17 Oct 2012) · Pedagogical review article on monogamy and polygamy of entanglement

openalex publication_date 2012/09/01 · arxiv created 2012/10/18 · arxiv updated 2012/10/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We discuss limitations to sharing entanglement known as monogamy of entanglement. Our pedagogical approach commences with simple examples of limited entanglement sharing for pure three-qubit states and progresses to the more general case of mixed-state monogamy relations with multiple qudits.

Citations

• Three qubits can be entangled in two inequivalent ways
• Bounds on general entropy measures
• Is entanglement monogamous?
• Generalized W-class state and its monogamy relation
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Negative Entropy and Information in Quantum Mechanics
• General properties of nonsignaling theories
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Separability of mixed states: necessary and sufficient conditions
• Tsallis entropy and entanglement constraints in multiqubit systems
• Quantifying Entanglement
• Distributed Entanglement
• Quantum entanglement

Cited by

• Compatible quantum correlations: Extension problems for Werner and isotropic states