Wave function realization of a thermal collision model

TL;DR

This paper introduces an efficient wave function-based algorithm for simulating open quantum system dynamics, leveraging stochastic methods and quantum collision models, suitable for implementation on quantum computers.

Contribution

It presents a novel stochastic wave function approach to simulate open quantum systems using collision models, reducing complexity and enabling quantum computer implementation.

Findings

The algorithm converges to the density operator description.

Stochastic methods exploit Markovianity, Brownian motion, and binary distributions.

Convergence of pure state dynamics to mixed states is demonstrated.

Abstract

An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on the quantum collision model. Modeling systems dynamics by wave functions and modeling the interaction with the environment with a collision sequence reduces the complexity scale significantly. The algorithm developed, can be implemented on quantum computers. We introduce stochastic methods that exploit statistical characters of the model, as Markovianity, Brownian motion and binary distribution. The central limit theorem is employed to study the convergence of distributions of stochastic dynamics of pure quantum states represented by wave vectors. By averaging a sample of functions in the distribution we prove and demonstrate the convergence of the dynamics to the mixed quantum state described by a density operator.