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Operational symmetries of entangled states

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arxiv 1906.07731 v2 pith:R66I3MUS submitted 2019-06-18 quant-ph hep-th

Ilan Tzitrin , Aaron Z. Goldberg , Jesse C. Cresswell This is my paper · ORCID
classification quant-phhep-th
keywords entanglementstatesquantumactionslocaloperationalsymmetriesanother
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Quantum entanglement obscures the notion of local operations; there exist quantum states for which all local actions on one subsystem can be equivalently realized by actions on another. We characterize the states for which this fundamental property of entanglement does and does not hold, including multipartite and mixed states. Our results lead to a method for quantifying entanglement based on operational symmetries and has connections to quantum steering, envariance, the Reeh-Schlieder theorem, and classical entanglement.

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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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