English

Quantum projective measurements and the CHSH inequality in Isabelle/HOL

Logic in Computer Science 2021-03-16 v1

Abstract

We present a formalization in Isabelle/HOL of quantum projective measurements, a class of measurements involving orthogonal projectors that is frequently used in quantum computing. We also formalize the CHSH inequality, a result that holds on arbitrary probability spaces, which can used to disprove the existence of a local hidden-variable theory for quantum mechanics.

Keywords

Cite

@article{arxiv.2103.08535,
  title  = {Quantum projective measurements and the CHSH inequality in Isabelle/HOL},
  author = {Mnacho Echenim and Mehdi Mhalla},
  journal= {arXiv preprint arXiv:2103.08535},
  year   = {2021}
}