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
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 quantum system. We say that ρ is PPT if its partial transpose 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.
Keywords: 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
MDPI and ACS Style
Đoković, D.Ž. On Two-Distillable Werner States. Entropy 2016, 18, 216.
AMA StyleShow more citation formats Show less citations formats
Đoković DŽ. On Two-Distillable Werner States. Entropy. 2016; 18(6):216.Chicago/Turabian Style
Đoković, Dragomir Ž. 2016. "On Two-Distillable Werner States." Entropy 18, no. 6: 216.
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.