# 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.