Published October 2013
| Published + Submitted
Journal Article
Open
Extended Quantum Conditional Entropy and Quantum Uncertainty Inequalities
- Creators
- Frank, Rupert L.
- Lieb, Elliott H.
Chicago
Abstract
Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of such entropy inequalities between position and momentum. Recently these inequalities have been generalized to the tensor product of several Hilbert spaces and we show here how their derivations can be shortened to a few lines and how they can be generalized. Our proofs utilize the technique of the original derivation of strong subadditivity of the von Neumann entropy.
Additional Information
© 2013 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 5 June 2012. Accepted: 3 January 2013. Published online: 11 August 2013. We thank Zhihao Ma for helpful correspondence. U.S. National Science Foundation grants PHY-1068285 (R.F.) and PHY-0965859 (E.L.) and the Simons Foundation grant 230207 (E.L.) are acknowledged.Attached Files
Published - art_3A10.1007_2Fs00220-013-1775-1.pdf
Submitted - 1204.0825.pdf
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Additional details
- Eprint ID
- 77106
- Resolver ID
- CaltechAUTHORS:20170501-112412599
- NSF
- PHY-1068285
- NSF
- PHY-0965859
- Simons Foundation
- 230207
- Created
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2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field