Robust semidefinite programming approach to the separability problem

Journal Article · Wed Dec 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.062309· OSTI ID:20649911

Vianna, Reinaldo O ^[1]

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1. Departamento de Fisica, Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte, MG 30.123-970 (Brazil)

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.

• OSTI ID: 20649911
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DENSITY MATRIX
ENERGY LEVELS
LINEAR PROGRAMMING
MIXED STATE
OPTIMIZATION
QUANTUM MECHANICS
QUANTUM NUMBERS
QUANTUM OPERATORS