A generalization of Schmidt number for multipartite states

2013/04/30 by Yu Guo, Heng Fan
Computer Science · Physics and Astronomy · #Bipartite graph #Generalization #Multipartite #Multipartite entanglement #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Schmidt number #quant-ph

paper · pdf · doi:10.1142/s0219749915500252

published as International Journal of Quantum Information Vol. 13, No. 2 (2015) 1550025 (10 pages) · 10pages, some minors are corrected

openalex publication_date 2015/04/01 · arxiv created 2015/05/07 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The Schmidt number is of crucial importance in characterizing the bipartite pure states. We explore and propose here a generalization of Schmidt number for states in multipartite systems. It is shown to be entanglement monotonic and valid for both pure and mixed states. In addition, the corresponding generalization of multipartite Schmidt coefficients is introduced. Our approach is applicable for systems with arbitrary number of parties and for arbitrary dimensions.

Citations

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• Zur Theorie der linearen und nichtlinearen Integralgleichungen
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