Model Checking Applied to Quantum Physics

TL;DR

This paper demonstrates how model checking techniques can be adapted for quantum physics, enabling the verification of quantum systems modeled as quantum Markov chains using linear-time temporal logic.

Contribution

It introduces a novel approach to apply model checking to quantum physics by modeling quantum systems as Markov chains and verifying properties with an efficient algorithm.

Findings

Successfully modeled quantum systems as Markov chains

Developed an efficient algorithm for property verification

Validated approach with case studies on quantum problems

Abstract

Model checking has been successfully applied to verification of computer hardware and software, communication systems and even biological systems. In this paper, we further push the boundary of its applications and show that it can be adapted for applications in quantum physics. More explicitly, we show how quantum statistical and many-body systems can be modeled as quantum Markov chains, and some of their properties that interest physicists can be specified in linear-time temporal logics. Then we present an efficient algorithm to check these properties. A few case studies are given to demonstrate the use of our algorithm to actual quantum physical problems.