Necessary and sufficient condition for Greenberger-Horne-Zeilinger diagonal states to be full N-partite entangled

2007/09/10 by Koji Nagata, Nagata, Koji
Computer Science · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.0709.1306

openalex publication_date 2007/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, [arXiv:0810.3134] is accepted and published. We show that any N-qubit state which is diagonal in the Greenberger-Horne-Zeilinger basis is full N-qubit entangled state if and only if no partial transpose of the multiqubit state is positive with respect to any partition.

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