Abstract
The two-state-vector formalism and the entangled histories formalism are attempts to better understand quantum correlations in time. Both formalisms share some similarities, but they are not identical, having subtle differences in their interpretation and manipulation of quantum temporal structures. However, the main objective of this paper is to prove that, with appropriately defined scalar products, both formalisms can be made isomorphic. We show, for instance, that they treat operators and states on equal footing, leading to the same statistics for all measurements. In particular, we discuss the topic of quantum correlations in time and show how they can be generated and analyzed in a consistent way using these formalisms. Furthermore, we elaborate on an unconventional behavior of quantum histories of evolving multipartite systems which do not exhibit global nonlocal correlations in time but nevertheless can lead to entangled reduced histories characterizing evolution of an arbitrarily chosen subsystem.
Original language | English |
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Article number | 032312 |
Journal | Physical Review A |
Volume | 98 |
Issue number | 3 |
DOIs | |
State | Published - 10 Sep 2018 |
Bibliographical note
Publisher Copyright:© 2018 American Physical Society.
Funding
We wish to thank Yakir Aharonov, Jordan Cotler, Marek Czachor, Danko Georgiev, Sky Nelson, and Sandu Popescu for helpful comments and discussions. M.N. and P.H. were supported by a grant from the John Templeton Foundation. E.C. was supported by the Canada Research Chairs (CRC) Program.
Funders | Funder number |
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John Templeton Foundation | |
CRC Health Group | |
Canada Research Chairs |