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Stabilizing multiple topological fermions on a quantum computer

Koh, Jin Ming and Tai, Tommy and Phee, Yong Han and Ng, Wei En and Lee, Ching Hua (2022) Stabilizing multiple topological fermions on a quantum computer. npj Quantum Information, 8 . Art. No. 16. ISSN 2056-6387. doi:10.1038/s41534-022-00527-1.

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In classical and single-particle settings, non-trivial band topology always gives rise to robust boundary modes. For quantum many-body systems, however, multiple topological fermions are not always able to coexist, since Pauli exclusion prevents additional fermions from occupying the limited number of available topological modes. In this work, we show, through IBM quantum computers, how one can robustly stabilize more fermions than the number of topological modes through specially designed 2-fermion interactions. Our demonstration hinges on the realization of BDI- and D-class topological Hamiltonians on transmon-based quantum hardware, and relied on a tensor network-aided circuit recompilation approach. We also achieved the full reconstruction of multiple-fermion topological band structures through iterative quantum phase estimation (IQPE). All in all, our work showcases how advances in quantum algorithm implementation enable noisy intermediate-scale quantum (NISQ) devices to be exploited for topological stabilization beyond the context of single-particle topological invariants.

Item Type:Article
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URLURL TypeDescription Paper
Koh, Jin Ming0000-0002-6130-5591
Tai, Tommy0000-0002-9478-5499
Lee, Ching Hua0000-0003-0690-3238
Additional Information:© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit Received 17 August 2021; Accepted 12 January 2022; Published 16 February 2022. J.M.K. thanks Shi-Ning Sun of Caltech for helpful discussions on quantum computing and algorithms. We acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors, and do not reflect the official policy or position of IBM or the IBM Quantum team. This work is supported by MOE Tier 1 grant 21-0048-A0001-0. Data availability: The data that support the findings of this study are available from the corresponding authors upon reasonable request. Code availability: The code used in this study is available from the corresponding authors upon reasonable request. Author Contributions: C.H.L. initiated and supervised the project, and wrote parts of the manuscript. J.M.K. developed most of the quantum simulation codebase, ran experiments on emulators and hardware, and wrote most of the manuscript. T.T. contributed to the codebase, ran experiments, and wrote parts of the manuscript. Y.H.P. and W.E.N. provided support on emulators and hardware usage, and edited the manuscript. All authors analyzed computational and experiment results. The manuscript reflects the contributions of all authors. The authors declare no competing interests.
Funding AgencyGrant Number
Ministry of Education (Singapore)21-0048-A0001-0
Subject Keywords:Electronic properties and materials; Quantum physics; Quantum simulation; Qubits
Record Number:CaltechAUTHORS:20210428-105505881
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Official Citation:Koh, J.M., Tai, T., Phee, Y.H. et al. Stabilizing multiple topological fermions on a quantum computer. npj Quantum Inf 8, 16 (2022).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108859
Deposited By: Tony Diaz
Deposited On:28 Apr 2021 19:53
Last Modified:16 Feb 2022 18:22

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