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Distinguishing Separable and Entangled States

Doherty, A. C. and Parrilo, Pablo A. and Spedalieri, Federico M. (2002) Distinguishing Separable and Entangled States. Physical Review Letters, 88 (18). Art. No. 187904. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:DOHprl02

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Abstract

We show how to design families of operational criteria that distinguish entangled from separable quantum states. The simplest of these tests corresponds to the well-known Peres-Horodecki positive partial transpose (PPT) criterion, and the more complicated tests are strictly stronger. The new criteria are tractable due to powerful computational and theoretical methods for the class of convex optimization problems known as semidefinite programs. We successfully applied the results to many low-dimensional states from the literature where the PPT test fails. As a by-product of the criteria, we provide an explicit construction of the corresponding entanglement witnesses.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.88.187904DOIUNSPECIFIED
ORCID:
AuthorORCID
Parrilo, Pablo A.0000-0003-1132-8477
Additional Information:©2002 The American Physical Society Received 12 December 2001; published 23 April 2002 It is a pleasure to acknowledge conversations with Hideo Mabuchi, John Doyle, John Preskill, and Patrick Hayden. This work was supported by the Caltech MURI Center for Quantum Networks, the NSF Institute for Quantum Information, and the Caltech MURI Center for Uncertainty Management for Complex Systems.
Issue or Number:18
Record Number:CaltechAUTHORS:DOHprl02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:DOHprl02
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2032
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Mar 2006
Last Modified:09 Mar 2020 13:19

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