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Can a quantum state over time resemble a quantum state at a single time?

Abstract:

The standard formalism of quantum theory treats space and time in fundamentally different ways. In particular, a composite system at a given time is represented by a joint state, but the formalism does not prescribe a joint state for a composite of systems at different times. If there were a way of defining such a joint state, this would potentially permit a more even-handed treatment of space and time, and would strengthen the existing analogy between quantum states and classical probability...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1098/rspa.2017.0395

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Department:
Wolfson College
Role:
Author
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Funding agency for:
Barrett, JS
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Funding agency for:
Barrett, JS
Perimeter Institute for Theoretical Physics More from this funder
John Templeton Foundation More from this funder
Publisher:
Royal Society Publisher's website
Journal:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Journal website
Volume:
473
Issue:
2205
Pages:
Article: 20170395
Publication date:
2017-09-20
Acceptance date:
2017-08-18
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
Pubs id:
pubs:723889
URN:
uri:853e2128-b59b-4695-90e0-f464ba945c97
UUID:
uuid:853e2128-b59b-4695-90e0-f464ba945c97
Local pid:
pubs:723889
Paper number:
2205

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