Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor
Quantum Physics
2025-07-08 v2 Disordered Systems and Neural Networks
Strongly Correlated Electrons
High Energy Physics - Lattice
Abstract
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.
Keywords
Cite
@article{arxiv.2410.06557,
title = {Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor},
author = {Gaurav Gyawali and Shashwat Kumar and Yuri D. Lensky and Eliott Rosenberg and Aaron Szasz and Tyler Cochran and Renyi Chen and Amir H. Karamlou and Kostyantyn Kechedzhi and Julia Berndtsson and Tom Westerhout and Abraham Asfaw and Dmitry Abanin and Rajeev Acharya and Laleh Aghababaie Beni and Trond I. Andersen and Markus Ansmann and Frank Arute and Kunal Arya and Nikita Astrakhantsev and Juan Atalaya and Ryan Babbush and Brian Ballard and Joseph C. Bardin and Andreas Bengtsson and Alexander Bilmes and Gina Bortoli and Alexandre Bourassa and Jenna Bovaird and Leon Brill and Michael Broughton and David A. Browne and Brett Buchea and Bob B. Buckley and David A. Buell and Tim Burger and Brian Burkett and Nicholas Bushnell and Anthony Cabrera and Juan Campero and Hung-Shen Chang and Zijun Chen and Ben Chiaro and Jahan Claes and Agnetta Y. Cleland and Josh Cogan and Roberto Collins and Paul Conner and William Courtney and Alexander L. Crook and Sayan Das and Dripto M. Debroy and Laura DeLorenzo and Alexander Del Toro Barba and Sean Demura and Agustin DiPaolo and Paul Donohoe and Ilya Drozdov and Andrew Dunsworth and Clint Earle and Alec Eickbusch and Aviv Moshe Elbag and Mahmoud Elzouka and Catherine Erickson and Lara Faoro and Reza Fatemi and Vinicius S. Ferreira and Leslie Flores Burgos and Ebrahim Forati and Austin G. Fowler and Brooks Foxen and Suhas Ganjam and Robert Gasca and William Giang and Craig Gidney and Dar Gilboa and Raja Gosula and Alejandro Grajales Dau and Dietrich Graumann and Alex Greene and Jonathan A. Gross and Steve Habegger and Michael C. Hamilton and Monica Hansen and Matthew P. Harrigan and Sean D. Harrington and Stephen Heslin and Paula Heu and Gordon Hill and Jeremy Hilton and Markus R. Hoffmann and Hsin-Yuan Huang and Ashley Huff and William J. Huggins and Lev B. Ioffe and Sergei V. Isakov and Evan Jeffrey and Zhang Jiang and Cody Jones and Stephen Jordan and Chaitali Joshi and Pavol Juhas and Dvir Kafri and Hui Kang and Trupti Khaire and Tanuj Khattar and Mostafa Khezri and Mária Kieferová and Seon Kim and Paul V. Klimov and Andrey R. Klots and Bryce Kobrin and Alexander N. Korotkov and Fedor Kostritsa and John Mark Kreikebaum and Vladislav D. Kurilovich and David Landhuis and Tiano Lange-Dei and Brandon W. Langley and Pavel Laptev and Kim-Ming Lau and Loick LeGuevel and Justin Ledford and Joonho Lee and Kenny Lee and Brian J. Lester and Wing Yan Li and Alexander T. Lill and Wayne Liu and William P. Livingston and Aditya Locharla and Daniel Lundahl and Aaron Lunt and Sid Madhuk and Ashley Maloney and Salvatore Mandrà and Leigh S. Martin and Steven Martin and Orion Martin and Cameron Maxfield and Jarrod R. McClean and Matt McEwen and Seneca Meeks and Anthony Megrant and Xiao Mi and Kevin C. Miao and Amanda Mieszala and Sebastian Molina and Shirin Montazeri and Alexis Morvan and Ramis Movassagh and Charles Neill and Ani Nersisyan and Michael Newman and Anthony Nguyen and Murray Nguyen and Chia-Hung Ni and Murphy Yuezhen Niu and William D. Oliver and Kristoffer Ottosson and Alex Pizzuto and Rebecca Potter and Orion Pritchard and Leonid P. Pryadko and Chris Quintana and Matthew J. Reagor and David M. Rhodes and Gabrielle Roberts and Charles Rocque and Nicholas C. Rubin and Negar Saei and Kannan Sankaragomathi and Kevin J. Satzinger and Henry F. Schurkus and Christopher Schuster and Michael J. Shearn and Aaron Shorter and Noah Shutty and Vladimir Shvarts and Volodymyr Sivak and Jindra Skruzny and Spencer Small and W. Clarke Smith and Sofia Springer and George Sterling and Jordan Suchard and Marco Szalay and Alex Sztein and Douglas Thor and M. Mert Torunbalci and Abeer Vaishnav and Sergey Vdovichev and Guifre Vidal and Catherine Vollgraff Heidweiller and Steven Waltman and Shannon X. Wang and Theodore White and Kristi Wong and Bryan W. K. Woo and Cheng Xing and Z. Jamie Yao and Ping Yeh and Bicheng Ying and Juhwan Yoo and Noureldin Yosri and Grayson Young and Adam Zalcman and Yaxing Zhang and Ningfeng Zhu and Nicholas Zobrist and Sergio Boixo and Julian Kelly and Erik Lucero and Yu Chen and Vadim Smelyanskiy and Hartmut Neven and Dmitry Kovrizhin and Johannes Knolle and Jad C. Halimeh and Igor Aleiner and Roderich Moessner and Pedram Roushan},
journal= {arXiv preprint arXiv:2410.06557},
year = {2025}
}