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Local symmetry properties of pure 3-qubit states

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arxiv quant-ph/0001091 v5 pith:MSYUOZEH submitted 2000-01-25 quant-ph

H A Carteret , A Sudbery This is my paper · ORCID
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keywords localstatespurestabiliserstabilisersclassifieddescribediscrete
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Entanglement types of pure states of 3 qubits are classified by means of their stabilisers in the group of local unitary operations. It is shown that the stabiliser is generically discrete, and that a larger stabiliser indicates a stationary value for some local invariant. We describe all the exceptional states with enlarged stabilisers.

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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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