Research Article

Space and Time Correlations in Quantum Histories

Corresponding Author

Leonardo Castellani

[email protected]

orcid.org/0000-0002-7954-5622

Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, viale T. Michel 11, Alessandria, 15121 Italy

INFN, Sezione di Torino, via P. Giuria 1, Torino, 10125 Italy

Regge Center for Algebra, Geometry and Theoretical Physics, via P. Giuria 1, Torino, 10125 Italy

E-mail: [email protected]

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Anna Gabetti,

Anna Gabetti

Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129 Italy

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Leonardo Castellani,

Corresponding Author

Leonardo Castellani

[email protected]

orcid.org/0000-0002-7954-5622

Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, viale T. Michel 11, Alessandria, 15121 Italy

INFN, Sezione di Torino, via P. Giuria 1, Torino, 10125 Italy

Regge Center for Algebra, Geometry and Theoretical Physics, via P. Giuria 1, Torino, 10125 Italy

E-mail: [email protected]

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Anna Gabetti,

Anna Gabetti

Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129 Italy

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First published: 25 September 2024

https://doi.org/10.1002/andp.202400203

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Abstract

The formalism of generalized quantum histories allows a symmetrical treatment of space and time correlations, by taking different traces of the same history density matrix. In this framework, the characterization of spatial and temporal entanglement is revisited. An operative protocol is presented, to map a history state into the ket of a static composite system. It is demonstrated, by examples, how the Leggett–Garg and the temporal Clauser-Horne-Shimony-Holt (CHSH) inequalities can be violated in this approach.

Conflict of Interest

The author declares no conflict of interest.

Conflict of Interest

The authors declare no conflict of interest.

Open Research

Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

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Volume536, Issue11

November 2024

2400203

Space and Time Correlations in Quantum Histories

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Space and Time Correlations in Quantum Histories

Abstract

Conflict of Interest

Conflict of Interest

Open Research

Data Availability Statement

References

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