Quantum speed limits and the maximal rate of information production
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2020-08-14T15:16:22Z | |
| dc.date.available | 2020-08-14T15:16:22Z | |
| dc.date.issued | 2020-02-14 | |
| 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: the 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 encoded in some logical states undergoing unitary quantum evolution. | en_US |
| dc.description.sponsorship | Special thanks goes to Eric Lutz, who more than a decade ago posed the rather innocent looking question, “Can we derive the Bremermann-Bekenstein bound by means of Quantum Thermodynamics?” [25]. After having developed a more comprehensive framework for quantum speed limits the answer can finally be given to be “yes.” Enlightening discussions with Akram Touil that helped to streamline the narrative are gratefully acknowledged. This research was supported by Grant No. FQXi-RFP-1808 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor advised fund of the Silicon Valley Community Foundation. | en_US |
| dc.description.uri | https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013161 | en_US |
| dc.format.extent | 7 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier | doi:10.13016/m24cme-muc2 | |
| dc.identifier.citation | Sebastian Deffner, Quantum speed limits and the maximal rate of information production, Phys. Rev. Research 2, 013161 (2020), DOI:https://doi.org/10.1103/PhysRevResearch.2.013161 | en_US |
| dc.identifier.uri | https://doi.org/10.1103/PhysRevResearch.2.013161 | |
| dc.identifier.uri | http://hdl.handle.net/11603/19426 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | American Physical Society (APS) | 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.rights | Attribution 4.0 International | * |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
| dc.title | Quantum speed limits and the maximal rate of information production | en_US |
| dc.type | Text | en_US |