Compatibility conditions from multipartite entanglement measures

2006/11/30 by Jianming Cai, Jian-Ming Cai, Zheng-Wei Zhou +3
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.75.052324

published as Phys. Rev. A 75, 052324 (2007) · 5 pages

openalex publication_date 2007/05/18 · arxiv created 2007/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an arbitrary d₁\ensuremath\bigotimesd₂\ensuremath\bigotimes\ensuremath⋯\ensuremath\bigotimesd_N composite quantum system and find necessary conditions for general m-party subsystem states to be the reduced states of a common N-party state. These conditions will lead to various monogamy inequalities for bipartite quantum entanglement and partial disorder in multipartite states. Our results are tightly connected with the measures of multipartite entanglement.

Citations

• The Spectra of Density Operators and the Kronecker Coefficients of the Symmetric Group
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Nonzero Kronecker Coefficients and What They Tell us about Spectra
• Information-theoretic measure of genuine multiqubit entanglement
• Multipartite reduction criteria for separability
• Quantum state transformations and the Schubert calculus
• Global entanglement in multiparticle systems
• Direct Measurement of Nonlinear Properties of Bipartite Quantum States