Infinite number of conditions for local mixed state manipulations

Abstract

It is shown that a finite number of conditions are {\em not} sufficient to determine the locality of transformations between two probability distributions of pure states as well as the locality of transformations between two $d\times d$ mixed states with $d\ge 4$. As an example, an infinite, but minimal, set of necessary and sufficient conditions for the existence of a local procedure that converts one probability distribution of two pure pair of qubits into another one is found.

4 pages

References in corpus (1)

• Family of Concurrence Monotones and its Applications

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