Nonlinear and linear entanglement witnesses for bipartite systems via exact convex optimization

Authors:
M. A. Jafarizadeh;A. Heshmati;K. Aghayar
Affiliations:
Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz, Iran;Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz, Iran;Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz, Iran
Venue:
Quantum Information & Computation
Year:
2010

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Abstract

Linear and nonlinear entanglement witnesses for a given bipartite quantum systemsare constructed. Using single particle feasible region, a way of constructing effectiveentanglement witnesses for bipartite systems is provided by exact convex optimization.Examples for some well known two qutrit quantum systems show these entanglementwitnesses in most cases, provide necessary and sufficient conditions for separability ofgiven bipartite system. Also this method is applied to a class of bipartite qudit quantumsystems with details for d=3, 4 and 5.