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Quantum supremacy and quantum phase transitions

Thanasilp Supanut, Tangpanitanon Jirawat, Lemonde Marc-Antoine, Dangniam Ninnat, Angelakis Dimitrios

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URIhttp://purl.tuc.gr/dl/dias/C92A4C32-A566-437D-A755-7D08461387EC-
Identifierhttps://doi.org/10.1103/PhysRevB.103.165132-
Identifierhttps://journals.aps.org/prb/abstract/10.1103/PhysRevB.103.165132-
Languageen-
Extent13 pagesen
TitleQuantum supremacy and quantum phase transitionsen
CreatorThanasilp Supanuten
CreatorTangpanitanon Jirawaten
CreatorLemonde Marc-Antoineen
CreatorDangniam Ninnaten
CreatorAngelakis Dimitriosen
CreatorΑγγελακης Δημητριοςel
PublisherAmerican Physical Societyen
Content SummaryDemonstrating the ability of existing quantum platforms to perform certain computational tasks intractable to classical computers represents a cornerstone in quantum computing. Despite the growing number of such proposed “quantum supreme” tasks, it remains an important challenge to identify their direct applications. In this work, we describe how the approach proposed by Tangpanitanon et al. [arXiv:2002.11946] for demonstrating quantum supremacy in generic driven analog many-body systems, such as those found in cold atom and ion setups, can be extended to explore dynamical quantum phase transitions. We show how key quantum supremacy signatures, such as the divergence between the output distribution and the Porter Thomas distribution, can be used as effective order parameters. We apply this approach to a periodically driven disordered one-dimensional Ising model and show that we can accurately capture the transition between the driven thermalized and many-body localized phases. This approach also captures the transition towards the Floquet prethermalized regime for high-frequency driving. Revisiting quantum phases of matter under the light of the recent discussions about quantum supremacy draws a link between complexity theory and analog many-body systems.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2022-12-07-
Date of Publication2021-
SubjectDynamical phase transitionsen
SubjectEigenstate thermalizationen
SubjectMany-body localizationen
SubjectOrder parametersen
SubjectPhase diagramsen
SubjectQuantum phase transitionsen
SubjectQuantum simulationen
SubjectDisordered systemsen
SubjectFloquet systemsen
Bibliographic CitationS. Thanasilp, J. Tangpanitanon, M.-A. Lemonde, N. Dangniam, and D. G. Angelakis, “Quantum supremacy and quantum phase transitions,” Phys. Rev. B, vol. 103, no. 16, Apr. 2021, doi: 10.1103/PhysRevB.103.165132.en

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