Separability of multi-qubit states in terms of diagonal and anti-diagonal entries

2018/03/01 by Kil-Chan Ha, Ha, Kil-Chan, Kyung Hoon Han +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1803.00175

26 pages, to appear in Quantum Information Processing

openalex publication_date 2018/03/01 · openalex created_date 2018/03/29 · arxiv created 2018/12/07 · arxiv updated 2018/12/10 · openalex updated_date 2026/07/28

Abstract

We give separability criteria for general multi-qubit states in terms of diagonal and anti-diagonal entries. We define two numbers which are obtained from diagonal and anti-diagonal entries, respectively, and compare them to get criteria. They give rise to characterizations of separability when all the entries are zero except for diagonal and anti-diagonal, like Greenberger-Horne-Zeilinger diagonal states. The criteria is strong enough to get nonzero volume of entanglement with positive partial transposes.

Citations

• Separable States with Unique Decompositions
• Separability Criterion for Density Matrices

Cited by

• Multiparty entanglement loops in quantum spin liquids

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