Gabriel Pietrzkowski

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We study a separability problem suggested by mathematical description of bipartite quantum systems. We consider Hermitian 2-forms on the tensor product H = K ⊗ L, where K, L are finite dimensional complex spaces. Inspired by quantum mechanical terminology we call such a form separable if it is a convex combination of hermitian tensor products σ * p ⊙ σ p of(More)
We consider the problem of separability: decide whether a Hermitian operator on a finite dimensional Hilbert tensor product H = H 1 ⊗ · · · ⊗ H m is separable or entangled. We show that the tensor convolution φ 1. .. φ m : G → H defined for mappings φ µ : G → H µ on an almost arbitrary locally compact abelian group G, give rise to formulation of an(More)
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