Quantum time dynamics of qudit Hamiltonians employing the Yang-Baxter equation for circuit compression

ORAL

Abstract

Quantum time dynamics is considered a promising problem for quantum advantage. It has been shown that employing Yang-Baxter symmetry can improve quantum simulations by circuit compression [1]. Generalizing the results to qudits is of great interest since even shallower circuits can be produced by exploiting higher levels. We derive the compressed circuit representations for different special cases of qudit Hamiltonians. We showcase the effectiveness of this approach by performing simulations and compare our results with the ones obtained using qubit-only circuits.

[1] B. Peng et al., Phys. Rev. A 106, 012412 (2022)

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Superconducting Quantum Materials and Systems Center (SQMS) under contract number DE-AC02-07CH11359.

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Presenters

  • Andrey B Khesin

    • Massachusetts Institute of Technology

Authors

  • Bo Peng

    • Pacific Northwest National Laboratory
    • PNNL

  • Andrey B Khesin

    • Massachusetts Institute of Technology

  • A. Baris Ozguler

    • Fermilab

  • Oluwadara Ogunkoya

    • Fermilab
    • Fermi National Accelerator Laboratory

  • Matthew Otten

    • HRL Laboratories

  • Yuri Alexeev

    • Argonne National Laboratory
    • Computational Science Division, Argonne National Laboratory

  • Niranjan Govind

    • Pacific Northwest National Laboratory