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On Multi-Particle Entanglement

Linden, Noah; Popescu, Sandu

HPL-BRIMS-97-20

Keyword(s): quantum mechanics; entanglement; non-locality; quantum computation; quantum information

Abstract: We build, using group-theoretic methods, a general framework for approaching multi-particle entanglement. As far as entanglement is concerned, two states of n spin -1/2 particles are equivalent if they are on the same orbit of the group of local rotations (U (2)n). We give a method for finding the number of parameters needed to describe inequivalent n spin-1/2 particles states. We also describe how entanglement of states on a given orbit may be characterised by the stability group of the action of the group of local rotations on any point on the orbit.

16 Pages

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