Simple class of bound entangled states based on the properties of the antisymmetric subspace

Sindici, Enrico and Piani, Marco (2018) Simple class of bound entangled states based on the properties of the antisymmetric subspace. Physical Review A - Atomic, Molecular, and Optical Physics, 97. 032319. ISSN 1094-1622

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    Abstract

    We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.