Quantum scrambling and the growth of mutual information
| dc.contributor.author | Touil, Akram | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2020-03-05T18:36:07Z | |
| dc.date.available | 2020-03-05T18:36:07Z | |
| dc.date.issued | 2020-02-07 | |
| dc.description.abstract | Quantum information scrambling refers to the loss of local recoverability of quantum information, which has found widespread attention from high energy physics to quantum computing. In the present analysis we propose a possible starting point for the development of a comprehensive framework for the thermodynamics of scrambling. To this end, we prove that the growth of entanglement as quantified by the mutual information is lower bounded by the time-dependent change of Out-Of-Time-Ordered Correlator. We further show that the rate of increase of the mutual information can be upper bounded by the sum of local entropy productions, and the exchange entropy arising from the flow of information between separate partitions of a quantum system. Our results are illustrated for the ion trap system, that was recently used to verify information scrambling in an experiment, and for the Sachdev-Ye-Kitaev model. | en_US |
| dc.description.sponsorship | Fruitful discussions with Nathan M. Myers are gratefully acknowledged. This research was supported by grant number FQXi-RFP-1808 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor advised fund of Silicon Valley Community Foundation (S.D). | en_US |
| dc.description.uri | https://iopscience.iop.org/article/10.1088/2058-9565/ab8ebb | en_US |
| dc.format.extent | 13 pages | en_US |
| dc.genre | journal articles preprints | en_US |
| dc.identifier | doi:10.1088/2058-9565/ab8ebb | |
| dc.identifier.citation | Touil, Akram; Deffner, Sebastian; Quantum scrambling and the growth of mutual information; Quantum Science and Technology, Volume 5, Number 3 (2020); 10.1088/2058-9565/ab8ebb | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/17497 | |
| 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 Student Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.relation.ispartof | UMBC Joint Center for Earth Systems Technology (JCET) | |
| 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 scrambling and the growth of mutual information | en_US |
| dc.type | Text | en_US |