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We present the general scheme for construction of noiseless networksdetecting entanglement with the help of linear, hermiticity-preserving maps. Weshow how to apply the method to detect entanglement of unknown state withoutits prior reconstruction. In particular, we prove there always exists noiselessnetwork detecting entanglement with the help of positive, but not completelypositive maps. Then the generalization of the method to the case ofentanglement detection with arbitrary, not necessarily hermiticity-preserving,linear contractions on product states is presented.Comment: Revtex, 6 pages, 3 figures, published versio

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