Robust semidefinite programming approach to the separability problem

Brandão, Fernando G. S. L. and Vianna, Reinaldo O. (2004) Robust semidefinite programming approach to the separability problem. Physical Review A, 70 (6). Art. No. 062309. ISSN 1050-2947. doi:10.1103/PhysRevA.70.062309. https://resolver.caltech.edu/CaltechAUTHORS:20160524-110104407

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Abstract

We express the optimization of entanglement witnesses for arbitrary bipartite states in terms of a class of convex optimization problems known as robust semidefinite programs (RSDPs). We propose, using well known properties of RSDPs, several sufficient tests for separability of mixed states. Our results are then generalized to multipartite density operators.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1103/PhysRevA.70.062309	DOI	Article
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.70.062309	Publisher	Article
http://arxiv.org/abs/quant-ph/0405008	arXiv	Discussion Paper

ORCID:

Author	ORCID
Brandão, Fernando G. S. L.	0000-0003-3866-9378

Additional Information:

© 2004 The American Physical Society. Received 4 May 2004; published 9 December 2004. Financial support from the Brazilian agencies CNPq, Institutos do Milênio-Informação Quântica, and FAPEMIG is acknowledged.

Funders:

Funding Agency	Grant Number
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)	UNSPECIFIED
Institutos do Milênio-Informação Quântica	UNSPECIFIED
Fundaçã de Amparo a Pesquisa de Minas Gerais (FAPEMIG)	UNSPECIFIED

Issue or Number:

Classification Code:

PACS: 03.67.Mn

DOI:

10.1103/PhysRevA.70.062309

Record Number:

CaltechAUTHORS:20160524-110104407

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160524-110104407

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

67305

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

24 May 2016 18:27

Last Modified:

11 Nov 2021 00:30

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