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Entropy 2016, 18(6), 216; doi:10.3390/e18060216

On Two-Distillable Werner States

Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada
Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada
Academic Editor: Jay Lawrence
Received: 7 April 2016 / Revised: 23 May 2016 / Accepted: 30 May 2016 / Published: 2 June 2016
(This article belongs to the Special Issue Quantum Information 2016)
View Full-Text   |   Download PDF [294 KB, uploaded 2 June 2016]


We consider bipartite mixed states ρ in a d d quantum system. We say that ρ is PPT if its partial transpose 1 T ( ρ ) is positive semidefinite, and otherwise ρ is NPT. The well-known Werner states are divided into three types: (a) the separable states (the same as the PPT states); (b) the one-distillable states (necessarily NPT); and (c) the NPT states which are not one-distillable. We give several different formulations and provide further evidence for the validity of the conjecture that Werner states of type (c) are not two-distillable. View Full-Text
Keywords: Werner states; bipartite entangled states; distillable states; hermitian biquadratic forms Werner states; bipartite entangled states; distillable states; hermitian biquadratic forms
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Đoković, D.Ž. On Two-Distillable Werner States. Entropy 2016, 18, 216.

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