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
Scrambling in random unitary circuits: exact results
ID
Bertini, Bruno
(
Author
),
ID
Piroli, Lorenzo
(
Author
)
PDF - Presentation file,
Download
(1,02 MB)
MD5: DD5E66A157D5485A6254D0A1025633FB
URL - Source URL, Visit
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.064305
Image galllery
Abstract
We study the scrambling of quantum information in local random unitary circuits by focusing on the tripartite information proposed by Hosur et al. We provide exact results for the averaged Rényi-2 tripartite information in two cases: (i) the local gates are Haar random and (ii) the local gates are dual-unitary and randomly sampled from a single-site Haar-invariant measure. We show that the latter case defines a one-parameter family of circuits, and prove that for a “maximally chaotic” subset of this family quantum information is scrambled faster than in the Haar-random case. Our approach is based on a standard mapping onto an averaged folded tensor network, that can be studied by means of appropriate recurrence relations. By means of the same method, we also revisit the computation of out-of-time-ordered correlation functions, rederiving known formulas for Haar-random unitary circuits, and presenting an exact result for maximally chaotic random dual-unitary gates.
Language:
English
Keywords:
nonequilibrium statistical mechanics
,
quantum chaos
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Author Accepted Manuscript
Year:
2020
Number of pages:
Str. 064305-1-064305-25
Numbering:
Vol. 102, iss. 6
PID:
20.500.12556/RUL-124028
UDC:
536.93
ISSN on article:
2469-9950
DOI:
10.1103/PhysRevB.102.064305
COBISS.SI-ID:
43003139
Publication date in RUL:
21.12.2020
Views:
602
Downloads:
411
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
Publisher:
American Physical Society
ISSN:
2469-9950
COBISS.SI-ID:
2997348
Secondary language
Language:
Slovenian
Keywords:
neravnovesna statistična mehanika
,
kvantni kaos
Projects
Funder:
EC - European Commission
Funding programme:
H2020
Project number:
694544
Name:
Open Many-body Non-Equilibrium Systems
Acronym:
OMNES
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