Quantum simulation of scalar field theories in qudit systems

ORAL

Abstract

We discuss the implementation of quantum algorithms for lattice Φ4 theory on circuit quantum electrodynamics (cQED) system. The field is represented on qudits in a discretized field amplitude basis. The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates. Considering the set of universal gates formed by the single-qudit phase gate and the displacement gate, we address initial state preparation and single-qudit gate synthesis with variational methods.

*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 the contract No. DE-AC02-07CH11359.

–

Publication: https://doi.org/10.48550/arXiv.2108.13357

Presenters

  • Doga M Kurkcuoglu

    • Fermi National Accelerator Laboratory (Fermilab)

Authors

  • Doga M Kurkcuoglu

    • Fermi National Accelerator Laboratory (Fermilab)

  • Sohaib Alam

    • USRA, NASA
    • USRA/NASA
    • NASA/USRA Quantum AI Lab
    • NASA Ames

  • Joshua A Job

    • Lockheed Martin - Palo Alto

  • Andy C. Y. Li

    • Fermilab

  • Alexandru Macridin

    • Fermi National Accelerator Laboratory

  • Gabriel N Perdue

    • Fermilab
    • SQMS Center
    • Fermi National Accelerator Laboratory

  • Stephen Providence

    • Coppin State University