On the tensor convolution and the quantum separability problem

Physics – Mathematical Physics

Scientific paper

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13 pages, two sections added

Scientific paper

10.1142/S1230161210000217

We consider the problem of separability: decide whether a Hermitian operator
on a finite dimensional Hilbert tensor product is separable or entangled. We
show that the tensor convolution defined for certain mappings on an almost
arbitrary locally compact abelian group, give rise to formulation of an
equivalent problem to the separability one.

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