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On multi-particle entanglement

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arxiv quant-ph/9711016 v1 pith:V3UJSHQC submitted 1997-11-13 quant-ph

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keywords entanglementgrouporbitstatesdescribelocalmulti-particleparticles
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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 characterized by the stability group of the action of the group of local rotations on any point on the orbit.

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  1. Entanglement groups for mixed states

    quant-ph 2025-07 conditional novelty 7.0 of 10

    For mixed quantum states, entanglement can be characterized by a quotient group of local unitary stabilizers of the density matrix, and any nontriviality for separable states must come from multipartite entanglement w...

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