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Notes on time entanglement and pseudo-entropy

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arxiv 2303.01307 v3 pith:J55YHBZM submitted 2023-03-02 hep-th

Notes on time entanglement and pseudo-entropy

classification hep-th
keywords operatorpseudo-entropystatetimeevolutioninitialtherealong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Following arXiv:2210.12963 [hep-th], we investigate aspects of the time evolution operator regarded as a density operator and associated entanglement-like structures in various quantum systems. These involve timelike separations and generically lead to complex-valued entropy, although there are interesting real subfamilies. There are many parallels and close relations with reduced transition matrices and pseudo-entropy, which we discuss and clarify. For instance, a related quantity involves the time evolution operator along with a projection onto some initial state, which amounts to analysing pseudo-entropy for the initial state and its time-evolved final state.

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Cited by 14 Pith papers

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