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Separability criterion for three-qubit states with a four dimensional norm

arXiv:1705.05557 · doi:10.1088/1751-8121/aa7f9a

Abstract

We give a separability criterion for three qubit states in terms of diagonal and anti-diagonal entries. This gives us a complete characterization of separability when all the entries are zero except for diagonal and anti-diagonals. The criterion is expressed in terms of a norm arising from anti-diagonal entries. We compute this norm in several cases, so that we get criteria with which we can decide the separability by routine computations.

29 pages, to appear in Journal of Physics A: Mathematical and Theoretical