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Separability criterion for pure states in multipartite and high dimensional systems

2002/07/23 by An Min Wang, Wang, An Min
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0207136

4 pages, Add some details to proof of lemma one; Revise one type error in (13(b)); Modify some sentences in language usage

openalex publication_date 2002/07/23 · arxiv created 2002/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a sufficient and necessary separability criterion for pure states in multipartite and high dimensional systems. Its main advantage is operational and computable. The obvious expressions of this criterion can be given out by the coefficients of components of the pure state. In the end, we simply mention a principle method how to define and obtain the measures of entanglement in multipartite and high dimensional systems.

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