Published December 2013
| Published + Submitted
Journal Article
Open
Monotonicity of a relative Rényi entropy
- Creators
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Frank, Rupert L.
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Lieb, Elliott H.
Abstract
We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al. ["On quantum Rényi entropies: A new definition, some properties," J. Math. Phys. 54, 122203 (2013); e-print arXiv:1306.3142v1; see also e-print arXiv:1306.3142].
Additional Information
© 2013 AIP Publishing LLC. Received 15 July 2013. Accepted 10 October 2013. Published online 13 December 2013. We thank E. Carlen, V. Jaksic, C.-A. Pillet, and A. Vershynina for valuable comments on a first draft of this paper. We are grateful to the referee for various suggestions that helped to improve this paper. U.S. National Science Foundation Grants Nos. PHY-1347399 (R.L.F.), PHY-0965859 and PHY-1265118 (E.H.L.), and the Simons Foundation Grant No. 230207 (E.H.L.) are acknowledged. J. Math. Phys.54, 122203 (2013); e-print arXiv:1306.3142v1; see also e-print arXiv:1306.3142].Attached Files
Published - 1.4838835.pdf
Submitted - 1306.5358v3.pdf
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Additional details
- Eprint ID
- 43578
- Resolver ID
- CaltechAUTHORS:20140130-111730599
- PHY-1347399
- NSF
- PHY-0965859
- NSF
- PHY-1265118
- NSF
- 230207
- Simons Foundation
- Created
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2014-01-30Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field