Published June 2017
| Submitted + Published
Journal Article
Open
Norms of quantum Gaussian multi-mode channels
- Creators
-
Frank, Rupert L.
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Lieb, Elliott H.
Abstract
We compute the S^p→S^p norm of a general Gaussian gauge-covariant multi-mode channel for any 1 ≤ p < ∞, where S^p is a Schatten space. As a consequence, we verify the Gaussian optimizer conjecture and the multiplicativity conjecture in these cases.
Additional Information
© 2017 AIP Publishing. Received 27 April 2017; accepted 12 June 2017; published online 27 June 2017. We are grateful to Mark Wilde for references concerning Corollary 5 and to Saikat Guha for discussions about Gaussian channels. Partial support by the U.S. National Science Foundation through Grant Nos. DMS-1363432 (R.L.F.) and PHY-1265118 (E.H.L.) is acknowledged.Attached Files
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Submitted - 1704.08720.pdf
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Additional details
- Eprint ID
- 79243
- Resolver ID
- CaltechAUTHORS:20170720-090957243
- DMS-1363432
- NSF
- PHY-1265118
- NSF
- Created
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2017-07-20Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field