Quantum projective measurements and the CHSH inequality in Isabelle/HOL. Echenim, M. & Mhalla, M. March, 2021.
abstract   bibtex   
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.
@misc{Echenim2021,
  title         = {Quantum projective measurements and the {CHSH} inequality in Isabelle/HOL},
  author        = {Echenim, Mnacho and Mhalla, Mehdi},
  year          = {2021},
  month         = mar,
  archiveprefix = {arXiv},
  eprint        = {2103.08535},
  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.},
  webnote       = {See also: Isabelle AFP entry \cite{Echenim2021a}},
  bibsource     = qplbib
}

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