Local copying and local discrimination as a study for non-locality of a set

Physics – Quantum Physics

Scientific paper

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This is an extended version of quant-ph/0411143

Scientific paper

10.1103/PhysRevA.74.032108

We focus on the non-locality concerning local copying and local discrimination, especially for a set of orthogonal maximally entangled states in prime dimensional systems, as a study of non-locality of a set of states. As a result, for such a set, we completely characterize deterministic local copiability and show that local copying is more difficult than local discrimination. From these result, we can conclude that lack algebraic symmetry causes extra non-locality of a set.

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