Kirmani, A, Bull, K, Hou, C-Y et al. (5 more authors) (2022) Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers. Physical Review Letters, 129 (5). 056801. 056801-. ISSN 0031-9007
Abstract
Intermediate-scale quantum technologies provide new opportunities for scientific discovery, yet they also pose the challenge of identifying suitable problems that can take advantage of such devices in spite of their present-day limitations. In solid-state materials, fractional quantum Hall phases continue to attract attention as hosts of emergent geometrical excitations analogous to gravitons, resulting from the nonperturbative interactions between the electrons. However, the direct observation of such excitations remains a challenge. Here, we identify a quasi-one-dimensional model that captures the geometric properties and graviton dynamics of fractional quantum Hall states. We then simulate geometric quench and the subsequent graviton dynamics on the IBM quantum computer using an optimally compiled Trotter circuit with bespoke error mitigation. Moreover, we develop an efficient, optimal-control-based variational quantum algorithm that can efficiently simulate graviton dynamics in larger systems. Our results open a new avenue for studying the emergence of gravitons in a new class of tractable models on the existing quantum hardware.
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Copyright, Publisher and Additional Information: | © 2022 American Physical Society. This is an author produced version of an article, published in Physical Review Letters. Uploaded in accordance with the publisher's self-archiving policy. | ||||||
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Institution: | The University of Leeds | ||||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) | ||||||
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Depositing User: | Symplectic Publications | ||||||
Date Deposited: | 22 Aug 2022 13:35 | ||||||
Last Modified: | 22 Aug 2022 13:35 | ||||||
Status: | Published online | ||||||
Publisher: | American Physical Society | ||||||
Identification Number: | https://doi.org/10.1103/physrevlett.129.056801 | ||||||
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