Avalle, M;
Serafini, A;
(2024)
Typicality in random quantum scattering.
Physical Review E
, 109
(3)
, Article 034114. 10.1103/PhysRevE.109.034114.
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Abstract
We consider scattering processes where a quantum system comprises an inner subsystem and a boundary and is subject to Haar-averaged random unitaries acting on the boundary-environment Hilbert space only. We show that, regardless of the initial state, a single scattering event will disentangle the unconditional state (i.e., the scattered state when no information about the applied unitary is available) across the inner subsystem-boundary partition. Also, we apply Lévy's lemma to constrain the trace norm fluctuations around the unconditional state. Finally, we derive analytical formulas for the mean scattered purity for initial globally pure states and provide one with numerical evidence of the reduction of fluctuations around such mean values with increasing environmental dimension.
| Type: | Article |
|---|---|
| Title: | Typicality in random quantum scattering |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.109.034114 |
| Publisher version: | http://dx.doi.org/10.1103/physreve.109.034114 |
| Language: | English |
| Additional information: | © 2024 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10189842 |
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