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Causal and compositional structure of unitary transformations

Abstract:

The causal structure of a unitary transformation is the set of relations of possible influence between any input subsystem and any output subsystem. We study whether such causal structure can be understood in terms of compositional structure of the unitary. Given a quantum circuit with no path from input system A to output system B, system A cannot influence system B. Conversely, given a unitary U with a no-influence relation from input A to output B, it follows from [B. Schumacher and M. D. ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.22331/q-2021-07-28-511

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
Wolfson College
Role:
Author
ORCID:
0000-0002-2222-0579
John Templeton Foundation More from this funder
Publisher:
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften Publisher's website
Journal:
Quantum Journal website
Volume:
5
Pages:
511
Publication date:
2021-07-16
Acceptance date:
2021-07-02
DOI:
EISSN:
2521-327X
Language:
English
Keywords:
Pubs id:
1187241
Local pid:
pubs:1187241
Deposit date:
2021-07-21

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