Elucidating the Interplay between Non‐Stoquasticity and the Sign Problem

Abstract

The sign problem is a key challenge in computational physics, encapsulating the inability to properly understand many important quantum many‐body phenomena in physics, chemistry, and the material sciences. Despite its centrality, the circumstances under which the problem arises or can be resolved as well as its interplay with the related notion of “non‐stoquasticity” are often not very well understood. In this study, an attempt is made to elucidate the circumstances under which the sign problem emerges and to clear up some of the confusion surrounding this intricate computational phenomenon. To that aim, the recently introduced off‐diagonal series expansion quantum Monte Carlo scheme is used to analyze in detail a number of examples that capture the essence of the results.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 27, 2019
Source ID
10.1002/qute.201900108

Entities

People

  • Itay Hen
  • Lalit Gupta

Organizations

  • Intelligence Advanced Research Projects Activity
  • United States Air Force
  • University of Southern California

Tags

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Quantum Computing