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Voinea, C. orcid.org/0000-0002-8086-3791, Pu, S. orcid.org/0000-0003-0144-1548, Kirmani, A. orcid.org/0000-0002-2406-2113 et al. (3 more authors) (2024) Deformed Fredkin model for the ν=5/2 Moore-Read state on thin cylinders. Physical Review Research, 6 (1). 013105. ISSN 2643-1564
Abstract
We propose a frustration-free model for the Moore-Read quantum Hall state on sufficiently thin cylinders with circumferences ≲7 magnetic lengths. While the Moore-Read Hamiltonian involves complicated long-range interactions between triplets of electrons in a Landau level, our effective model is a simpler one-dimensional chain of qubits with deformed Fredkin gates. We show that the ground state of the Fredkin model has high overlap with the Moore-Read wave function and accurately reproduces the latter's entanglement properties. Moreover, we demonstrate that the model captures the dynamical response of the Moore-Read state to a geometric quench, induced by suddenly changing the anisotropy of the system. We elucidate the underlying mechanism of the quench dynamics and show that it coincides with the linearized bimetric field theory. The minimal model introduced here can be directly implemented as a first step towards quantum simulation of the Moore-Read state, as we demonstrate by deriving an efficient circuit approximation to the ground state and implementing it on an IBM quantum processor.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
Dates: |
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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) |
Funding Information: | Funder Grant number Leverhulme Trust RL-2019-015 |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Apr 2024 13:09 |
Last Modified: | 21 Jun 2024 10:23 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/physrevresearch.6.013105 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:211479 |
Available Versions of this Item
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Deformed Fredkin model for the ν=5/2 Moore-Read state on thin cylinders. (deposited 21 Jun 2024 10:22)
- Deformed Fredkin model for the ν=5/2 Moore-Read state on thin cylinders. (deposited 16 Apr 2024 13:09) [Currently Displayed]