Construction of three qubit genuine entanglement with bi-partite positive partial transposes
Abstract
We construct tri-qubit genuinely entangled states which have positive partial transposes with respect to bi-partition of systems. These examples disprove a conjecture [L. Novo, T. Moroder and O. G\" uhne, Phys.Rev.A 88, 012305 (2013)] which claims that PPT mixtures are necessary and sufficient for biseparability of three qubits.
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