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Necessary and Sufficient Condition for Greenberger-Horne-Zeilinger Diagonal States to Be Full N-partite Entangled

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Abstract

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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  1. Obihiro University of Agriculture and Veterinary Medicine, Obihiro, Japan

    Koji Nagata

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  1. Koji Nagata
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Correspondence to Koji Nagata.

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Nagata, K. Necessary and Sufficient Condition for Greenberger-Horne-Zeilinger Diagonal States to Be Full N-partite Entangled. Int J Theor Phys 48, 3358 (2009). https://doi.org/10.1007/s10773-009-0139-2

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  • DOI: https://doi.org/10.1007/s10773-009-0139-2

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