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Superposition rule and entanglement in diagonal and probability representations of density states

The quasidistributions corresponding to the diagonal representation of quantum states are discussed within the framework of operator-symbol construction. The tomographic-probability distribution describing the quantum state in the probability representation of quantum mechanics is reviewed. The connection of the diagonal and probability representations is discussed. The superposition rule is considered in terms of the density-operator symbols. The separability and entanglement properties of multipartite quantum systems are formulated as the properties of the density-operator symbols of the system states.

preprint2009arXivOpen access
Vladimir I. Man'koGiuseppe MarmoE. C. George Sudarshan
quant-ph
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Vladimir I. Man'koGiuseppe MarmoE. C. George Sudarshan

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