Data Repository for "Real-time Quantum Monte Carlo Algorithm For Noisy Quantum Circuit SimulationsQuantum Circuit Simulations"

Tong Shen and Daniel A. Lidar

Abstract

We present a real-time quantum Monte Carlo algorithm that simulates the dynamics of open quantum systems by stochastically compressing and evolving the density matrix under both Markovian and non-Markovian master equations. Our algorithm uses population dynamics to continuously suppress the sign problem, preventing its accumulation throughout the evolution. We apply it to a variety of quantum circuits and demonstrate significant speedups over state-of-art quantum trajectory methods and convergence to exact solutions even in non-Markovian regimes where trajectory methods fail. Our approach improves the efficiency of classical simulation of gate-based quantum computing, quantum annealing, and general open system dynamics.

Description

This repository includes links, code, scripts, and data to generate the figures in a paper.

Requirements

The data in this project was generated via OpenQMC Simulator. Everything included in the data directory was processed from the raw data on Zenodo .

Figures

Figure 01: Benchmark for 10-qubit crosstalk suppression circuit

Figure 02: Scaling of QMC and QT for crosstalk suppression circuits

Figure 03: Benchmark for 10-qubit GHZ state preparation circuit

Figure 04: Scaling of QMC and QT for GHZ state preparation circuit

Figure 05: Simulation for a 2-qubit Redfield master equation

Support

This material is based upon work supported by, or in part by, the U. S. Army Research Laboratory and the U.S. Army Research Office under contract/grant number W911NF2310255.