Stabilizing multiple topological fermions on a quantum computer
Publication Date
2022-12Journal Title
npj Quantum Information
ISSN
2056-6387
Publisher
Springer Science and Business Media LLC
Volume
8
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
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Koh, J. M., Tai, T., Phee, Y. H., Ng, W. E., & Lee, C. H. (2022). Stabilizing multiple topological fermions on a quantum computer. npj Quantum Information, 8 (1) https://doi.org/10.1038/s41534-022-00527-1
Abstract
<jats:title>Abstract</jats:title><jats:p>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.</jats:p>
Keywords
Article, /639/766/483/3926, /639/766/483/2802, /639/766/483, /639/766/119/995, article
Identifiers
s41534-022-00527-1, 527
External DOI: https://doi.org/10.1038/s41534-022-00527-1
This record's URL: https://www.repository.cam.ac.uk/handle/1810/334084
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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