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