{"id":11186,"date":"2024-12-09T08:30:22","date_gmt":"2024-12-09T07:30:22","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&p=11186"},"modified":"2024-12-09T09:37:41","modified_gmt":"2024-12-09T08:37:41","slug":"tba-thibault-scoquart-lpt-seminar-10-12-2024-14h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-thibault-scoquart-lpt-seminar-10-12-2024-14h\/","title":{"rendered":"R\u00f4le des corr\u00e9lations de l\u2019espace de Fock dans la localisation \u00e0 plusieurs corps \/ Simulation quantique sur ordinateurs quantiques bruyants (NISQ). \u2013 (Thibault Scoquart \/ LPT \/ Seminar). \u2013 10\/12\/2024, 14H"},"content":{"rendered":"

S\u00e9minaire LPT<\/span><\/p>\n

Thibault Scoquart <\/strong><\/span>(Institut de technologie de Karlsruhe)<\/span><\/p>\n

Seminar LPT, 10\/12\/2024, 14H, 3R4, salle de conf\u00e9rence<\/span><\/p>\n

Summary : <\/strong>
\nIn this seminar, I will discuss two (more or less) unrelated projects that I worked on during my postdoc at KIT.
\nIn a first part, I will present our conclusions regarding the role of correlations of Fock-space matrix elements in ergodicity-to-Many-Body Localization (MBL) transitions [1]<\/strong>. To study this, we introduce five different disordered spin models and describe analytically and numerically the scaling of their finite-size critical disorder Wc(n) with the system size n. The MBL transition in these models can be seen as the Anderson localization problem for a fictitious particle hopping over their hypercube Fock space structure. The models are built such that they have the same distributions of diagonal (energy) and off-diagonal (hopping) Fock-space matrix elements but very different correlations. One of these models is a typical disordered 1D spin chain, paradigmatic for the study of MBL, and another is the quantum random energy model (QREM) with no Fock-space correlations at all, making it analytically more tractable. The three other models bridge the gap between these two extremes. A cross-comparison of Wc(n) for all five models demonstrates to which extent the scaling of the MBL transition is governed by a combined effect of Fock-space correlations of diagonal and off-diagonal matrix elements.
\nIn a second part of the talk, I will give an overview of our work on digital quantum simulations performed on IBM superconducting quantum computers, one of the main current im- plementations of Noisy Intermediate-Scale Quantum computers (NISQ). The focus will be on our work about noise characterization, noise tailoring and error mitigation via quantum circuit sampling on such devices, using short-scale simulations of BCS dynamics as a benchmark [2, 3]<\/strong>. I will also discuss some perspectives on the quantum simulation of quenched thermalizing dynamics on NISQ [4]<\/strong>.<\/p>\n

[1]<\/strong> T. Scoquart, I. Gornyi and A. Mirlin, Role of Fock-space correlations in many-body localization, Physical Review B 109, 214203, (2024)<\/a><\/p>\n

[2]<\/strong> H. Perrin, T. Scoquart, A. Shnirman, J. Schmalian, and K. Snizhko, Mitigating crosstalk errors by randomized compiling : Simulation of the BCS model on a superconducting quantum computer, Phys. Rev. Research 6, 013142 (2024)<\/a><\/p>\n

[3] T. Scoquart, H. Perrin and K. Snizkho, Noise-tailoring for error mitigation on a digital quantum computer (Soon to appear on arXiv)<\/p>\n

[4]<\/strong> H. Perrin, T. Scoquart, A. I. Pavlov, N. V. Gnezdilov, Dynamic thermalization on noisy quantum hardware, arXiv:2407.04770<\/a><\/p>\n

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