English

Model Checking Applied to Quantum Physics

Quantum Physics 2019-02-11 v1 Logic in Computer Science

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.

Keywords

Cite

@article{arxiv.1902.03218,
  title  = {Model Checking Applied to Quantum Physics},
  author = {Ji Guan and Yuan Feng and Andrea Turrini and Mingsheng Ying},
  journal= {arXiv preprint arXiv:1902.03218},
  year   = {2019}
}