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arxiv: 2410.06557 · v2 · pith:RWKLXU27new · submitted 2024-10-09 · 🪐 quant-ph · cond-mat.dis-nn· cond-mat.str-el· hep-lat

Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor

Gaurav Gyawali , Shashwat Kumar , Yuri D. Lensky , Eliott Rosenberg , Aaron Szasz , Tyler Cochran , Renyi Chen , Amir H. Karamlou
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Kostyantyn Kechedzhi Julia Berndtsson Tom Westerhout Abraham Asfaw Dmitry Abanin Rajeev Acharya Laleh Aghababaie Beni Trond I. Andersen Markus Ansmann Frank Arute Kunal Arya Nikita Astrakhantsev Juan Atalaya Ryan Babbush Brian Ballard Joseph C. Bardin Andreas Bengtsson Alexander Bilmes Gina Bortoli Alexandre Bourassa Jenna Bovaird 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 Zijun Chen Ben Chiaro Jahan Claes Agnetta Y. Cleland Josh Cogan Roberto Collins Paul Conner William Courtney Alexander L. Crook Sayan Das Dripto M. Debroy Laura DeLorenzo Alexander Del Toro Barba Sean Demura Agustin DiPaolo Paul Donohoe Ilya Drozdov Andrew Dunsworth Clint Earle Alec Eickbusch Aviv Moshe Elbag Mahmoud Elzouka Catherine Erickson Lara Faoro Reza Fatemi Vinicius S. Ferreira Leslie Flores Burgos Ebrahim Forati Austin G. Fowler Brooks Foxen Suhas Ganjam Robert Gasca William Giang Craig Gidney Dar Gilboa Raja Gosula Alejandro Grajales Dau Dietrich Graumann Alex Greene Jonathan A. Gross Steve Habegger Michael C. Hamilton Monica Hansen Matthew P. Harrigan Sean D. Harrington Stephen Heslin Paula Heu Gordon Hill Jeremy Hilton Markus R. Hoffmann Hsin-Yuan Huang Ashley Huff William J. Huggins Lev B. Ioffe Sergei V. Isakov Evan Jeffrey Zhang Jiang Cody Jones Stephen Jordan Chaitali Joshi Pavol Juhas Dvir Kafri Hui Kang Trupti Khaire Tanuj Khattar Mostafa Khezri M\'aria Kieferov\'a Seon Kim Paul V. Klimov Andrey R. Klots Bryce Kobrin Alexander N. Korotkov Fedor Kostritsa John Mark Kreikebaum Vladislav D. Kurilovich David Landhuis Tiano Lange-Dei Brandon W. Langley Pavel Laptev Kim-Ming Lau Loick LeGuevel Justin Ledford Joonho Lee Kenny Lee Brian J. Lester Wing Yan Li Alexander T. Lill Wayne Liu William P. Livingston Aditya Locharla Daniel Lundahl Aaron Lunt Sid Madhuk Ashley Maloney Salvatore Mandr\`a Leigh S. Martin Steven Martin Orion Martin Cameron Maxfield Jarrod R. McClean Matt McEwen Seneca Meeks Anthony Megrant Xiao Mi Kevin C. Miao Amanda Mieszala Sebastian Molina Shirin Montazeri Alexis Morvan Ramis Movassagh Charles Neill Ani Nersisyan Michael Newman Anthony Nguyen Murray Nguyen Chia-Hung Ni Murphy Yuezhen Niu William D. Oliver Kristoffer Ottosson Alex Pizzuto Rebecca Potter Orion Pritchard Leonid P. Pryadko Chris Quintana Matthew J. Reagor David M. Rhodes Gabrielle Roberts Charles Rocque Nicholas C. Rubin Negar Saei Kannan Sankaragomathi Kevin J. Satzinger Henry F. Schurkus Christopher Schuster Michael J. Shearn Aaron Shorter Noah Shutty Vladimir Shvarts Volodymyr Sivak Jindra Skruzny Spencer Small W. Clarke Smith Sofia Springer George Sterling Jordan Suchard Marco Szalay Alex Sztein Douglas Thor M. Mert Torunbalci Abeer Vaishnav Sergey Vdovichev Guifre Vidal Catherine Vollgraff Heidweiller Steven Waltman Shannon X. Wang 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 Yaxing Zhang Ningfeng Zhu Nicholas Zobrist Sergio Boixo Julian Kelly Erik Lucero Yu Chen Vadim Smelyanskiy Hartmut Neven Dmitry Kovrizhin Johannes Knolle Jad C. Halimeh Igor Aleiner Roderich Moessner Pedram Roushan
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classification 🪐 quant-ph cond-mat.dis-nncond-mat.str-elhep-lat
keywords disorderstatesgaugelocalizationquantumconfigurationsdisorder-freelattice
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Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations at relevant time and system scales. To reduce the cost of disorder-sampling, we investigate quantum circuits initialized in states tunable to superpositions over all disorder configurations. In a translationally-invariant lattice gauge theory (LGT), these states can be interpreted as a superposition over gauge sectors. We observe localization in this LGT in the absence of disorder in one and two dimensions: perturbations fail to diffuse despite fully disorder-free evolution and initial states. However, R\'enyi entropy measurements reveal that superposition-prepared states fundamentally differ from those obtained by direct disorder sampling. Leveraging superposition, we propose an algorithm with a polynomial speedup in sampling disorder configurations, a longstanding challenge in many-body localization studies.

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