[2410.06557] Observation of disorder-free localization and efficient disorder averaging on a quantum processor

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We implement an efficient procedure on a quantum processor, leveraging quantum parallelism, to efficiently sample over all disorder realizations. We observe localization without disorder in quantum many-body dynamics in one and two dimensions: perturbations do not diffuse even though both the generator of evolution and the initial states are fully translationally invariant. The disorder strength as well as its density can be readily tuned using the initial state. Furthermore, we demonstrate the versatility of our platform by measuring Renyi entropies. Our method could also be extended to higher moments of the physical observables and disorder learning."/> <meta name="twitter:site" content="@arxiv"/> <meta name="twitter:card" content="summary"/> <meta name="twitter:title" content="Observation of disorder-free localization and efficient disorder..."/> <meta name="twitter:description" content="One of the most challenging problems in the computational study of localization in quantum manybody systems is to capture the effects of rare events, which requires sampling over exponentially..."/> <meta name="twitter:image" content="https://static.arxiv.org/icons/twitter/arxiv-logo-twitter-square.png"/> <meta name="twitter:image:alt" content="arXiv logo"/> <link rel="stylesheet" media="screen" type="text/css" href="/static/browse/0.3.4/css/tooltip.css"/><link rel="stylesheet" media="screen" type="text/css" href="https://static.arxiv.org/js/bibex-dev/bibex.css?20200709"/> <script src="/static/browse/0.3.4/js/mathjaxToggle.min.js" 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content="Berndtsson, Julia" /><meta name="citation_author" content="Westerhout, Tom" /><meta name="citation_author" content="Asfaw, Abraham" /><meta name="citation_author" content="Abanin, Dmitry" /><meta name="citation_author" content="Acharya, Rajeev" /><meta name="citation_author" content="Beni, Laleh Aghababaie" /><meta name="citation_author" content="Andersen, Trond I." /><meta name="citation_author" content="Ansmann, Markus" /><meta name="citation_author" content="Arute, Frank" /><meta name="citation_author" content="Arya, Kunal" /><meta name="citation_author" content="Astrakhantsev, Nikita" /><meta name="citation_author" content="Atalaya, Juan" /><meta name="citation_author" content="Babbush, Ryan" /><meta name="citation_author" content="Ballard, Brian" /><meta name="citation_author" content="Bardin, Joseph C." /><meta name="citation_author" content="Bengtsson, Andreas" /><meta name="citation_author" content="Bilmes, Alexander" /><meta name="citation_author" content="Bortoli, 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We implement an efficient procedure on a quantum processor, leveraging quantum parallelism, to efficiently sample over all disorder realizations. We observe localization without disorder in quantum many-body dynamics in one and two dimensions: perturbations do not diffuse even though both the generator of evolution and the initial states are fully translationally invariant. The disorder strength as well as its density can be readily tuned using the initial state. Furthermore, we demonstrate the versatility of our platform by measuring Renyi entropies. 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Gyawali</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Cochran,+T" rel="nofollow">Tyler Cochran</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Lensky,+Y" rel="nofollow">Yuri Lensky</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Rosenberg,+E" rel="nofollow">Eliott Rosenberg</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Karamlou,+A+H" rel="nofollow">Amir H. Karamlou</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Kechedzhi,+K" rel="nofollow">Kostyantyn Kechedzhi</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Berndtsson,+J" rel="nofollow">Julia Berndtsson</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Westerhout,+T" rel="nofollow">Tom Westerhout</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Asfaw,+A" rel="nofollow">Abraham Asfaw</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Abanin,+D" rel="nofollow">Dmitry Abanin</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Acharya,+R" rel="nofollow">Rajeev Acharya</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Beni,+L+A" rel="nofollow">Laleh Aghababaie Beni</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Andersen,+T+I" rel="nofollow">Trond I. 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(120 additional authors not shown)</a> <noscript> You must enable JavaScript to view entire author list.</noscript></div> <div id="download-button-info" hidden>View a PDF of the paper titled Observation of disorder-free localization and efficient disorder averaging on a quantum processor, by Gaurav Gyawali and 219 other authors</div> <a class="mobile-submission-download" href="/pdf/2410.06557">View PDF</a> <blockquote class="abstract mathjax"> <span class="descriptor">Abstract:</span>One of the most challenging problems in the computational study of localization in quantum manybody systems is to capture the effects of rare events, which requires sampling over exponentially many disorder realizations. We implement an efficient procedure on a quantum processor, leveraging quantum parallelism, to efficiently sample over all disorder realizations. We observe localization without disorder in quantum many-body dynamics in one and two dimensions: perturbations do not diffuse even though both the generator of evolution and the initial states are fully translationally invariant. The disorder strength as well as its density can be readily tuned using the initial state. Furthermore, we demonstrate the versatility of our platform by measuring Renyi entropies. Our method could also be extended to higher moments of the physical observables and disorder learning. </blockquote>  <div class="metatable"> <table summary="Additional metadata"><tr> <td class="tablecell label">Subjects:</td> <td class="tablecell subjects"> <span class="primary-subject">Quantum Physics (quant-ph)</span>; Disordered Systems and Neural Networks (cond-mat.dis-nn); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Lattice (hep-lat)</td> </tr><tr> <td class="tablecell label">Cite as:</td> <td class="tablecell arxivid"><span class="arxivid"><a href="https://arxiv.org/abs/2410.06557">arXiv:2410.06557</a> [quant-ph]</span></td> </tr> <tr> <td class="tablecell label"> </td> <td class="tablecell arxividv">(or <span class="arxivid"> <a href="https://arxiv.org/abs/2410.06557v1">arXiv:2410.06557v1</a> [quant-ph]</span> for this version) </td> </tr> <tr> <td class="tablecell label"> </td> <td class="tablecell arxivdoi"> <a 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[2410.06557] Observation of disorder-free localization and efficient disorder averaging on a quantum processor