Digital quantum simulation of a two-dimensional electron gas pierced by a strong magnetic field

ORAL

Abstract

A two dimensional electron gas, confined to a finite disk geometry and pierced by a strong transversal magnetic field at zero temperature describes the physical setting of the fractional quantum Hall effect. We give an ab-initio roadmap on how this system may be simulated on a quantum processor. We show how the approximate ground state could be extracted through a hybrid quantum-classical variational algorithm and how to extract ground state properties. This heuristic method can be extended to incorporate more physical effects, such as impurity models, to ultimately test theoretical models against experimental data beyond the limits of classical computational power.

Presenters

  • Michael Kaicher

    Univ des Saarlandes

Authors

  • Michael Kaicher

    Univ des Saarlandes

  • Simon Balthasar Jäger

    Univ des Saarlandes

  • Frank K Wilhelm

    Theoretische Physik, Saarland University, Saarland University, Univ des Saarlandes

  • Ryan Babbush

    Google, Google Inc.

  • Pierre-Luc Dallaire-Demers

    Zapata Computing, Xanadu