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Main Authors: Narayan, K., Saini, Hitesh K.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2303.01307
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author Narayan, K.
Saini, Hitesh K.
author_facet Narayan, K.
Saini, Hitesh K.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_01307
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Notes on time entanglement and pseudo-entropy
Narayan, K.
Saini, Hitesh K.
High Energy Physics - Theory
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.
title Notes on time entanglement and pseudo-entropy
topic High Energy Physics - Theory
url https://arxiv.org/abs/2303.01307