Your browser does not allow JavaScript!
JavaScript is necessary for the proper functioning of this website. Please enable JavaScript or use a modern browser.
Open Science Slovenia
Open Science
DiKUL
slv
|
eng
Search
Browse
New in RUL
About RUL
In numbers
Help
Sign in
Fastest local entanglement scrambler, multistage thermalization, and a non-Hermitian phantom
ID
Bensa, Jaš
(
Author
),
ID
Žnidarič, Marko
(
Author
)
PDF - Presentation file,
Download
(1,90 MB)
MD5: 0C0E7F4F9A36E537D48B47CC0FD8601E
URL - Source URL, Visit
https://journals.aps.org/prx/abstract/10.1103/PhysRevX.11.031019
Image galllery
Abstract
We study random quantum circuits and their rate of producing bipartite entanglement, specifically with respect to the choice of 2-qubit gates and the order (protocol) in which these are applied. The problem is mapped to a Markovian process, and we prove that there are large spectral equivalence classes—different configurations have the same spectrum. Optimal gates and the protocol that generate entanglement with the fastest theoretically possible rate are identified. Relaxation towards the asymptotic thermal entanglement proceeds via a series of phase transitions in the local relaxation rate, which is a consequence of non-Hermiticity. In particular, non-Hermiticity can cause the rate to be either faster or, even more interestingly, slower than predicted by the matrix eigenvalue gap. This result is caused by expansion coefficients that grow exponentially with system size, resulting in a “phantom” eigenvalue and is due to nonorthogonality of non-Hermitian eigenvectors. We numerically demonstrate that the phenomenon also occurs in random circuits with nonoptimal generic gates, random U(4) gates, and also without spatial or temporal randomness, suggesting that it could be of wide importance in other non-Hermitian settings, including correlations.
Language:
English
Keywords:
statistical physics
,
quantum physics
,
quantum information
,
quantum entanglement
,
quantum gates
,
quantum phase transitions
,
quantum quench
,
general physics
,
condensed matter
,
materials
,
applied physics
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Version of Record
Year:
2021
Number of pages:
28 str.
Numbering:
Vol. 11, iss. 3, art. 031019
PID:
20.500.12556/RUL-144712
UDC:
536.9
ISSN on article:
2160-3308
DOI:
10.1103/PhysRevX.11.031019
COBISS.SI-ID:
72645891
Publication date in RUL:
09.03.2023
Views:
739
Downloads:
78
Metadata:
Cite this work
Plain text
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago 17th Author-Date
Harvard
IEEE
ISO 690
MLA
Vancouver
:
Copy citation
Share:
Record is a part of a journal
Title:
Physical review
Shortened title:
Phys. rev., X
Publisher:
American Physical Society
ISSN:
2160-3308
COBISS.SI-ID:
19686152
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Secondary language
Language:
Slovenian
Keywords:
statistična fizika
,
kvantna fizika
Projects
Funder:
ARRS - Slovenian Research Agency
Project number:
J1-1698
Name:
Načrtovanje večdelčnega transporta
Funder:
ARRS - Slovenian Research Agency
Project number:
P1-0402
Name:
Matematična fizika
Similar documents
Similar works from RUL:
Similar works from other Slovenian collections:
Back