Quantum speed limits and the maximal rate of quantum learning
| dc.contributor.author | Acconcia, Thiago V. | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2020-08-14T15:27:11Z | |
| dc.date.available | 2020-08-14T15:27:11Z | |
| dc.date.issued | 2017-06-14 | |
| dc.description.abstract | The Bremermann-Bekenstein bound is a fundamental bound on the maximal rate with which information can be transmitted. However, its derivation relies on rather weak estimates and plausibility arguments, which make the application of the bound impractical in the laboratory. In this paper, we revisit the bound and extend its scope by explicitly accounting for the back action of quantum measurements and refined expressions of the quantum speed limit. Our result can be interpreted as an upper bound on the maximal rate of quantum learning, and we show that the Bremermann-Bekenstein bound follows as a particular limit. Our results are illustrated, by first deriving a tractable expression from time-dependent perturbation theory, and then evaluating the bound for two time-dependent systems -- the harmonic oscillator and the Pöschl-Teller potential. | en_US |
| dc.description.sponsorship | It is a pleasure to thank V. L. Quito and L. M. M. Dur˜ao for inspiring and fruitful discussions. T.A. acknowledges support from Gleb Wataghin Physics Institute (Brazil) and CAPES (Brazil), Grant No. 1504869, and the hospitality of the Center for Nonlinear Studies at the Los Alamos National Laboratory, where this project was conceived. S.D. acknowledges financial support by the U.S. National Science Foundation under Grant No. CHE-1648973, and the hospitality of the Universidade Estadual de Campinas, where this project was concluded. | en_US |
| dc.description.uri | https://arxiv.org/abs/1706.03826 | en_US |
| dc.format.extent | 10 pages | en_US |
| dc.genre | journal articles preprints | en_US |
| dc.identifier | doi:10.13016/m2fb3r-eswx | |
| dc.identifier.citation | Thiago V. Acconcia and Sebastian Deffner, Quantum speed limits and the maximal rate of quantum learning, https://arxiv.org/abs/1706.03826 | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/19427 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Joint Center for Earth Systems Technology (JCET) | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.title | Quantum speed limits and the maximal rate of quantum learning | en_US |
| dc.type | Text | en_US |