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Entangled Histories vs. the Two-State-Vector Formalism - Towards a Better Understanding of Quantum Temporal Correlations

Abstract

The Two-State-Vector formalism and the Entangled Histories formalism are attempts to betterunderstand quantum correlations in time. Both formalisms share some similarities, but they are notidentical, having subtle differences in their interpretation and manipulation of quantum temporalstructures. However, the main objective of this paper is to prove that, with appropriately definedscalar products, both formalisms can be made isomorphic. We show, for instance, that theytreat operators and states on equal footing leading to the same statistics for all measurements. Inparticular, we discuss the topic of quantum correlations in time and show how they can be generatedand analyzed in a consistent way using these formalisms. Furthermore, we elaborate on a novelbehavior of quantum histories of evolving multipartite systems which do not exhibit global non-local correlations in time but nevertheless can lead to entangled reduced histories characterizingevolution of an arbitrarily chosen sub-system

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
PHYSICAL REVIEW A no. 98, pages 1 - 15,
ISSN: 2469-9926
Language:
English
Publication year:
2018
Bibliographic description:
Nowakowski M., Cohen E., Horodecki P.: Entangled Histories vs. the Two-State-Vector Formalism - Towards a Better Understanding of Quantum Temporal Correlations// PHYSICAL REVIEW A. -Vol. 98, (2018), s.1-15
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.98.032312
Verified by:
Gdańsk University of Technology

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