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Related Experiment Video

Updated: Oct 5, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Quantum critical points and the sign problem.

R Mondaini¹, S Tarat¹, R T Scalettar²

¹Beijing Computational Science Research Center, Beijing 100193, China.

Science (New York, N.Y.)

|January 27, 2022

Summary

This summary is machine-generated.

The sign problem (SP) in quantum simulations is linked to quantum critical behavior, not just algorithms. This finding offers new ways to study exotic states like superconductivity using the SP.

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Area of Science:

Computational Physics
Condensed Matter Physics
Quantum Monte Carlo Methods

Background:

The sign problem (SP) poses a significant challenge in simulating strongly correlated quantum matter.
Previous research suggested the SP's behavior is algorithm-dependent, not intrinsic to physical systems.

Purpose of the Study:

To demonstrate a quantitative link between the sign problem and quantum critical behavior.
To reinterpret the sign problem's manifestation in specific models, like the Hubbard model.

Main Methods:

Simulations using determinant quantum Monte Carlo (QMC) on models with known critical properties.
Analysis of the average sign's behavior in relation to quantum criticality.

Main Results:

The sign problem in determinant QMC is quantitatively connected to quantum critical phenomena.
A novel interpretation of the low average sign in the Hubbard model is proposed, linking it to pseudogap and superconductivity onset.

Conclusions:

The sign problem is intrinsically tied to the quantum critical nature of the simulated matter.
Exploiting the average sign in QMC simulations can provide insights into quantum critical behavior and exotic phases.