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arxiv: 1803.00175 · v2 · pith:TB5J2T7Xnew · submitted 2018-03-01 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords diagonalanti-diagonalentriescriteriaseparabilitystatesgivemulti-qubit
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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.

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