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Open AccessArticle

On Two-Distillable Werner States

1
Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada
2
Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada
Academic Editor: Jay Lawrence
Entropy 2016, 18(6), 216; https://doi.org/10.3390/e18060216
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)
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
MDPI and ACS Style

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

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