Topological two-dimensional Floquet lattice on a single superconducting qubit

• URL: http://arxiv.org/abs/2012.01459v2
• Date: Thu, 25 Mar 2021 13:28:23 GMT
• Title: Topological two-dimensional Floquet lattice on a single superconducting qubit
• Authors: Daniel Malz and Adam Smith
• Abstract summary: NISQ devices constitute powerful platforms for analogue quantum simulation. We show that one can go further and implement a wide class of Floquet Hamiltonians. We experimentally realize a temporal version of the Bernevig-Hughes-Zhang Chern insulator.
• Score: 0.6091702876917279
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Previous theoretical and experimental research has shown that current NISQ devices constitute powerful platforms for analogue quantum simulation. With the exquisite level of control offered by state-of-the-art quantum computers, we show that one can go further and implement a wide class of Floquet Hamiltonians, or timedependent Hamiltonians in general. We then implement a single-qubit version of these models in the IBM Quantum Experience and experimentally realize a temporal version of the Bernevig-Hughes-Zhang Chern insulator. From our data we can infer the presence of a topological transition, thus realizing an earlier proposal of topological frequency conversion by Martin, Refael, and Halperin. Our study highlights promises and limitations when studying many-body systems through multi-frequency driving of quantum computers.

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