Entanglement Witnesses and Characterizing Entanglement Properties of Some PPT States

Abstract

On the basis of linear programming, new sets of entanglement witnesses (EWs) for 3x3 and 4x4 systems are constructed. In both cases, the constructed EWs correspond to the hyperplanes contacting, without intersecting, the related feasible regions at line segments and restricted planes respectively. Due to the special property of the contacting area between the hyper-planes and the feasible regions, the corresponding hyper-planes can be turned around the contacting area throughout a bounded interval and hence create an infinite number of EWs. As these EWs are able to detect entanglement of some PPT states, they are non-decomposable (nd-EWs).

11 pages

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Cited by in corpus (7)

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• Positive finite rank elementary operators and characterizing entanglement of states
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• A characterization of optimal entanglement witnesses
• Effect of two-qutrit entanglement on quantum speed limit time of a bipartite V-type open system
• Entanglement witnesses for $d\otimes d$ systems and new classes of entangled qudit states
• Optimality of a class of entanglement witnesses for $3\otimes 3$ systems