Published October 2015
| Version Published + Submitted
Journal Article
Open
Quantum reverse hypercontractivity
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1.
University College London
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2.
University of Cambridge
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3.
University of Copenhagen
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4.
University of Bristol
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5.
California Institute of Technology
Abstract
We develop reverse versions of hypercontractive inequalities for quantum channels. By generalizing classical techniques, we prove a reverse hypercontractive inequality for tensor products of qubit depolarizing channels. We apply this to obtain a rapid mixing result for depolarizing noise applied to large subspaces and to prove bounds on a quantum generalization of non-interactive correlation distillation.
Additional Information
© 2015 AIP Publishing LLC. Received 13 June 2015; accepted 1 October 2015; published online 19 October 2015. This work was initiated at the BIRS workshop 15w5098, "Hypercontractivity and Log Sobolev Inequalities in Quantum Information Theory." We would like to thank BIRS and the Banff Centre for their hospitality. We would also like to thank Mark Wilde for pointing out Ref. 24 and an anonymous referee for helpful comments. M.K. was supported by the Carlsbergfond and the Villum foundation. A.M. was supported by the UK EPSRC under Early Career Fellowship EP/L021005/1. K.T. was supported by the Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (Grants Nos. PHY-0803371 and PHY-1125565). T.S.C. is supported by the Royal Society.Attached Files
Published - 1.4933219.pdf
Submitted - 1504.06143.pdf
Files
1.4933219.pdf
Additional details
Identifiers
- Eprint ID
- 62489
- Resolver ID
- CaltechAUTHORS:20151201-094310055
Related works
- Describes
- https://arxiv.org/abs/1504.06143 (URL)
Funding
- Carlsberg Foundation
- Engineering and Physical Sciences Research Council (EPSRC)
- EP/L021005/1
- Institute for Quantum Information and Matter (IQIM)
- NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation
- NSF
- PHY-0803371
- NSF
- PHY-1125565
- Royal Society
- Villum Foundation
Dates
- Created
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2015-12-03Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Institute for Quantum Information and Matter