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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

Operational symmetries of entangled states

classification quant-ph hep-th
keywords entanglementstatesquantumactionslocaloperationalsymmetriesanother
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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