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Optimal quantum networks and one-shot entropies

Abstract:

We develop a semidefinite programming method for the optimization of quantum networks, including both causal networks and networks with indefinite causal structure. Our method applies to a broad class of performance measures, defined operationally in terms of interative tests set up by a verifier. We show that the optimal performance is equal to a max relative entropy, which quantifies the informativeness of the test. Building on this result, we extend the notion of conditional min-entropy fr...

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

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Publisher copy:
10.1088/1367-2630/18/9/093053

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Oxford college:
St Hildas College
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Grant:
FQXi-RFP3-1325 and FQXi-MGA-1502
Canadian Institute for Advanced Research More from this funder
HKU Seed Funding for Basic Research More from this funder
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Publisher:
IOP Publishing Publisher's website
Journal:
New Journal of Physics Journal website
Volume:
18
Issue:
9
Pages:
Article: 093053
Publication date:
2016-09-29
Acceptance date:
2016-09-06
DOI:
ISSN:
1367-2630
Pubs id:
pubs:733264
URN:
uri:2a385776-5a07-4487-a1d2-9f7ee7ccae56
UUID:
uuid:2a385776-5a07-4487-a1d2-9f7ee7ccae56
Local pid:
pubs:733264
Paper number:
9

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