Error-resilient Monte Carlo quantum simulation of imaginary time

Understand

Computing the ground-state properties of quantum many-body systems is a promising application of near-term quantum hardware with a potential impact in many fields.

• The conventional algorithm quantum phase estimation uses deep circuits and requires fault-tolerant technologies.
• Many quantum simulation algorithms developed recently work in an inexact and variational manner to exploit shallow circuits.
• In this work, we combine quantum Monte Carlo with quantum computing and propose an algorithm for simulating the imaginary-time evolution and solving the ground-state problem.