Algorithms for digital quantum simulations of 1+1 dimensional Quantum Electrodynamics

ORAL

Abstract

Simulations of lattice gauge theories such as Lattice Quantum Chromodynamics or Quantum Electrodynamics (QED) on classical computers have been massively successful over the past decades. However, the conventional methods relying on Monte Carlo sampling face issues such as the notorious sign problem in certain regimes, for example in attempts to classically simulate lattice gauge theories at finite chemical potential, theories with a topological term, or their real-time dynamics. This motivates the ongoing search for new algorithms for quantum simulations of gauge theories. In this talk, I will present newly developed algorithms for digital quantum simulations of QED in 1+1 dimension (Schwinger Model) with nonzero topological θ-term, with a focus on the optimization of the gate count for ground state energy estimation.

* We acknowledge use of the computing resources and the access to Piz Daint at the Swiss National Supercomputing Centre, Switzerland under the ETHZ's share with the project IDs go24 and eth8. Support from the Google Research Scholar Award in Quantum Computing and the Quantum Center at ETH Zurich is gratefully acknowledged. We acknowledge use of the IBM Q 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 Q team.

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Publication: M. D'Anna, J. P. Barros, M. K. Marinkovic, "Comparison of algorithms for digital quantum simulations of the QED in $1+1$ dimensions" - in preparation

Presenters

  • Marina Krstic Marinkovic

    ETH Zurich

Authors

  • Marina Krstic Marinkovic

    ETH Zurich

  • Joao Pinto Barros

    ETH Zurich

  • Matteo D'Anna

    ETH Zurich