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• W3102458797 abstract "We define and study entanglement of continuous positive definite functions on products of compact groups. We formulate and prove an infinite-dimensional analog of the Horodecki Theorem, giving a necessary and sufficient criterion for separability of such functions. The resulting characterisation is given in terms of mappings of the space of continuous functions, preserving positive definiteness. A relation between the developed group-theoretical formalism and the conventional one, given in terms of density matrices, is established through the non-commutative Fourier analysis. It shows that the presented method plays the role of a “generating function” formalism for the theory of entanglement." @default.
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• W3102458797 date "2008-05-15" @default.
• W3102458797 modified "2023-10-16" @default.
• W3102458797 title "Entanglement of Positive Definite Functions on Compact Groups" @default.
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• W3102458797 doi "https://doi.org/10.1007/s00220-008-0493-6" @default.
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