Quantum speed limits and the maximal rate of entropy production
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2019-12-19T15:20:35Z | |
| dc.date.available | 2019-12-19T15:20:35Z | |
| dc.date.issued | 2019-10-16 | |
| dc.description.abstract | The Bremermann-Bekenstein bound sets a fundamental upper limit on the rate with which information can be processed. However, the original treatment heavily relies on cosmological properties and plausibility arguments. In the present analysis, we derive equivalent statements by relying on only two fundamental results in quantum information theory and quantum dynamics -- Fannes inequality and the quantum speed limit. As main results, we obtain Bremermann-Bekenstein-type bounds for the rate of change of the von Neumann entropy in quantum systems undergoing open system dynamics, and for the rate of change of the Shannon information over some logical basis in unitary quantum evolution. | en |
| dc.description.sponsorship | Enlightening discussions with Akram Touil are gratefully acknowledged that helped to streamline the narrative. This research was supported by grant number FQXiRFP-1808 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor advised fund of Silicon Valley Community Foundation. | en |
| dc.description.uri | https://arxiv.org/abs/1910.06811 | en |
| dc.format.extent | 6 pages | en |
| dc.genre | journal articles preprints | en |
| dc.identifier | doi:10.13016/m24ljn-ohd0 | |
| dc.identifier.citation | Deffner, Sebastian; Quantum speed limits and the maximal rate of entropy production; Quantum Physics; https://arxiv.org/abs/1910.06811 | en |
| dc.identifier.uri | http://hdl.handle.net/11603/16920 | |
| dc.language.iso | en | en |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| 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.subject | Bremermann-Bekenstein bound | en |
| dc.subject | cosmological properties | en |
| dc.subject | plausibility arguments | en |
| dc.subject | quantum information theory | en |
| dc.subject | quantum dynamics | en |
| dc.title | Quantum speed limits and the maximal rate of entropy production | en |
| dc.type | Text | en |