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Scrambling of quantum information is the process by which information initially stored in the local degrees of freedom of a quantum many-body system spreads over its many-body degrees of freedom, becoming inaccessible to local probes and…

Quantum Physics · Physics 2019-10-09 R. J. Lewis-Swan , A. Safavi-Naini , J. J. Bollinger , A. M. Rey

In the study of quantum chaos, `out of time ordered correlators' (OTOCs) are commonly used to quantify the rate at which quantum information is scrambled. This rate has been conjectured by Maldecena et al. to obey a universal, temperature…

Quantum Physics · Physics 2025-12-02 Andrew C. Hunt

For the characterization of the dynamics in quantum many-body systems the question how information spreads and becomes distributed over the constituent degrees of freedom is of fundamental interest. The delocalization of information under…

Strongly Correlated Electrons · Physics 2019-12-12 Oskar Schnaack , Niklas Bölter , Sebastian Paeckel , Salvatore R. Manmana , Stefan Kehrein , Markus Schmitt

We systematically investigate scrambling (or delocalizing) processes of quantum information encoded in quantum many-body systems by using numerical exact diagonalization. As a measure of scrambling, we adopt the tripartite mutual…

Statistical Mechanics · Physics 2018-04-25 Eiki Iyoda , Takahiro Sagawa

We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising…

Quantum Physics · Physics 2023-05-03 Kanato Goto , Taozhi Guo , Tomoki Nosaka , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka

One of the greatest challenges in quantum information processing is the coherent control over quantum systems with an ever increasing number of particles. Within this endeavor, the harnessing of many-body entanglement against the effects of…

Quantum Physics · Physics 2015-04-03 Leandro Aolita , Fernando de Melo , Luiz Davidovich

Out-of-time-order correlators (OTOC) are considered to be a promising tool to characterize chaos in quantum systems. In this paper we study OTOC in XY model. With the presence of anisotropic parameter $\gamma$ and external magnetic field…

Statistical Mechanics · Physics 2020-08-26 Jiahui Bao , Cheng-Yong Zhang

We study operator scrambling in quantum circuits built from `super-Clifford' gates. For such circuits it was established in arXiv:2002.12824 that the time evolution of operator entanglement for a large class of many-body operators can be…

Quantum Physics · Physics 2025-06-24 Mike Blake , Noah Linden , Anthony P. Thompson

In this paper we investigate the dynamics of a spin chain whose two end spins interact with two independent non-Markovian baths by using the non-Markovian quantum state diffusion (QSD) equation approach. Specifically two issues about…

Quantum Physics · Physics 2022-11-09 Li-ping Han , Jian Zou , Hai Li , Bin Shao

The out-of-time-ordered correlator (OTOC) diagnoses quantum chaos and the scrambling of quantum information via the spread of entanglement. The OTOC encodes forward and reverse evolutions and has deep connections with the flow of time. So…

Quantum Physics · Physics 2017-01-20 Nicole Yunger Halpern

Quantum observables in the form of few-point correlators are the key to characterizing the dynamics of quantum many-body systems. In dynamics with fast entanglement generation, quantum observables generally become insensitive to the details…

Quantum Physics · Physics 2025-06-13 Dmitry A. Abanin , Rajeev Acharya , Laleh Aghababaie-Beni , Georg Aigeldinger , Ashok Ajoy , Ross Alcaraz , Igor Aleiner , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Dave Bacon , Brian Ballard , Joseph C. Bardin , Christian Bengs , Andreas Bengtsson , Alexander Bilmes , Sergio Boixo , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Dylan Bowers , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Yu Chen , Zijun Chen , Ben Chiaro , Liang-Ying Chih , Desmond Chik , Charina Chou , Jahan Claes , Agnetta Y. Cleland , Josh Cogan , Saul Cohen , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Laura De Lorenzo , Dripto M. Debroy , Sean Demura , Michel Devoret , Agustin Di Paolo , Paul Donohoe , Ilya Drozdov , Andrew Dunsworth , Clint Earle , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Lara Faoro , Edward Farhi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Gonzalo Garcia , Robert Gasca , Elie Genois , William Giang , Craig Gidney , Dar Gilboa , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Jonathan A. Gross , Hanfeng Gu , Steve Habegger , John Hall , Ikko Hamamura , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Stephen Heslin , Paula Heu , Oscar Higgott , Gordon Hill , Jeremy Hilton , Sabrina Hong , Hsin-Yuan Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Xiaoxuan Jin , Cody Jones , Stephen Jordan , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Dvir Kafri , Hui Kang , Amir H. Karamlou , Kostyantyn Kechedzhi , Julian Kelly , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Seon Kim , Robbie King , Paul V. Klimov , Andrey R. Klots , Bryce Kobrin , Alexander N. Korotkov , Fedor Kostritsa , Robin Kothari , John Mark Kreikebaum , Vladislav D. Kurilovich , Elica Kyoseva , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loick Le Guevel , Justin Ledford , Joonho Lee , Kenny Lee , Yuri D. Lensky , Shannon Leon , Brian J. Lester , Wing Yan Li , Alexander T. Lill , Wayne Liu , William P. Livingston , Aditya Locharla , Erik Lucero , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Fionn D. Malone , Ashley Maloney , Salvatore Mandra , James M. Manyika , Leigh S. Martin , Orion Martin , Steven Martin , Yossi Matias , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Xiao Mi , Kevin C. Miao , Amanda Mieszala , Reza Molavi , Sebastian Molina , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Hartmut Neven , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , Logan Oas , Thomas E. O'Brien , William D. Oliver , Alex Opremcak , Kristoffer Ottosson , Andre Petukhov , Alex Pizzuto , John Platt , Rebecca Potter , Orion Pritchard , Leonid P. Pryadko , Chris Quintana , Ganesh Ramachandran , Chandrasekhar Ramanathan , Matthew J. Reagor , John Redding , David M. Rhodes , Gabrielle Roberts , Eliott Rosenberg , Emma Rosenfeld , Pedram Roushan , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Alexander Schmidhuber , Henry F. Schurkus , Christopher Schuster , Thomas Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Volodymyr Sivak , Jindra Skruzny , Spencer Small , Vadim Smelyanskiy , W. Clarke Smith , Rolando D. Somma , Sofia Springer , George Sterling , Doug Strain , Jordan Suchard , Philippe Suchsland , Aaron Szasz , Alex Sztein , Douglas Thor , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Steven Waltman , Shannon X. Wang , Brayden Ware , Kate Weber , Travis Weidel , Tom Westerhout , Theodore White , Kristi Wong , Bryan W. K. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Chongwei Zhang , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist

Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is…

High Energy Physics - Theory · Physics 2021-02-03 Paul Romatschke

Quantum many body system in equilibrium can be effectively characterized using the framework of quantum statistical mechanics. However, nonequilibrium behaviour of quantum many body systems remains elusive, out of the range of such a well…

Quantum Physics · Physics 2020-05-14 Bing Chen , Xianfei Hou , Feifei Zhou , Peng Qian , Heng Shen , Nanyang Xu

The out-of-time-ordered correlator (OTOC) is a measure of quantum chaos that is being vigorously investigated. Analytically accessible simple models that have long been studied in other contexts could provide insights into such measures.…

Quantum Physics · Physics 2019-01-09 Arul Lakshminarayan

The relaxation of out-of-time-ordered correlators (OTOCs) has been studied as a mean to characterize the scrambling properties of a quantum system. We show that the presence of local conserved quantities typically results in, at the…

Statistical Mechanics · Physics 2021-09-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Dario Poletti

Out-of-Time Ordered Correlators (OTOCs) are widely used to investigate information scrambling in quantum systems. However, directly computing OTOCs with classical computers is an expensive procedure. This is due to the need to classically…

Quantum Physics · Physics 2025-04-03 John Tanner , Jason Pye , Jingbo Wang

The out-of-time-order correlator (OTOC) of simple harmonic oscillator with extra anharmonic (quartic) interaction are calculated by the second quantization method. We obtain the analytic formulas of spectrum, Fock space states and matrix…

High Energy Physics - Theory · Physics 2023-12-29 Wung-Hong Huang

We study how probes of quantum scrambling dynamics respond to two kinds of imperfections -- unequal forward and backward evolutions and decoherence -- in a solvable Brownian circuit model. We calculate a ``renormalized'' out-of-time-order…

Quantum Physics · Physics 2025-06-05 Nadie Yiluo LiTenn , Tianci Zhou , Brian Swingle

$Circuit~ Complexity$, a well known computational technique has recently become the backbone of the physics community to probe the chaotic behaviour and random quantum fluctuations of quantum fields. This paper is devoted to the study of…

The underlying physical concept of computing out-of-time-ordered correlation (OTOC) is a significant new tool within the framework of quantum field theory, which now-a-days is treated as a measure of random fluctuations. In this paper, by…

General Physics · Physics 2021-06-03 Sayantan Choudhury
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