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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 (2021) Stabilizing multiple topological fermions on a quantum computer. . (Unpublished)

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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 of unprecedented complexity on transmon-based quantum hardware, and crucially relied on tensor network-aided circuit recompilation approaches beyond conventional trotterization. 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 enables NISQ-era quantum computers to be exploited for topological stabilization beyond the context of single-particle topological invariants.

Item Type:Report or Paper (Discussion Paper)
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Koh, Jin Ming0000-0002-6130-5591
Additional Information:Attribution 4.0 International (CC BY 4.0). J. M. Koh 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.
Record Number:CaltechAUTHORS:20210428-105505881
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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:28 Apr 2021 19:53

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