Construction of three qubit genuine entanglement with bi-partite positive partial transposes
Kil-Chan Ha, Seung-Hyeok Kye
TL;DR
This paper constructs specific three-qubit entangled states with positive partial transposes that challenge previous assumptions, showing PPT mixtures are not always indicative of biseparability.
Contribution
It provides explicit examples of genuinely entangled three-qubit states with PPT properties, disproving a prior conjecture about their relationship.
Findings
Constructed tri-qubit entangled states with PPT properties
Disproved the conjecture linking PPT mixtures to biseparability
Showed PPT mixtures are not necessary and sufficient for biseparability
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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