General construction of noiseless networks detecting entanglement with help of linear maps

Abstract

We present the general scheme for construction of noiseless networks detecting entanglement with the help of linear, hermiticity-preserving maps. We show how to apply the method to detect entanglement of unknown state without its prior reconstruction. In particular, we prove there always exists noiseless network detecting entanglement with the help of positive, but not completely positive maps. Then the generalization of the method to the case of entanglement detection with arbitrary, not necessarily hermiticity-preserving, linear contractions on product states is presented.

Revtex, 6 pages, 3 figures, published version

References in corpus (2)

• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Universal quantum interfaces

Cited by in corpus (5)

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• Positive maps, majorization, entropic inequalities, and detection of entanglement
• Entanglement measures as physical observables
• Beyond the standard entropic inequalities: stronger scalar separability criteria and their applications