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arxiv: 1006.3059 · v1 · pith:QY37EPNEnew · submitted 2010-06-15 · 🪐 quant-ph · math-ph· math.MP

Constructing optimal entanglement witnesses. II

classification 🪐 quant-ph math-phmath.MP
keywords entanglementconstructionnondecomposableoptimalwitnessesalgebraapproximationsbreaking
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We provide a class of optimal nondecomposable entanglement witnesses for 4N x 4N composite quantum systems or, equivalently, a new construction of nondecomposable positive maps in the algebra of 4N x 4N complex matrices. This construction provides natural generalization of the Robertson map. It is shown that their structural physical approximations give rise to entanglement breaking channels.

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