Quantum projective measurements and the CHSH inequality

 

Title: Quantum projective measurements and the CHSH inequality
Author: Mnacho Echenim
Submission date: 2021-03-03
Abstract: This work contains a formalization of quantum projective measurements, also known as von Neumann measurements, which are based on elements of spectral theory. We also formalized the CHSH inequality, an inequality involving expectations in a probability space that is violated by quantum measurements, thus proving that quantum mechanics cannot be modeled with an underlying local hidden-variable theory.
BibTeX:
@article{Projective_Measurements-AFP,
  author  = {Mnacho Echenim},
  title   = {Quantum projective measurements and the CHSH inequality},
  journal = {Archive of Formal Proofs},
  month   = mar,
  year    = 2021,
  note    = {\url{https://isa-afp.org/entries/Projective_Measurements.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Isabelle_Marries_Dirac, QHLProver
Status: [skipped] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.