Quantum projective measurements and the CHSH inequality. Echenim, M. Archive of Formal Proofs, March, 2021.
Paper abstract bibtex 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.
@article{Echenim2021a,
title = {Quantum projective measurements and the CHSH inequality},
author = {Echenim, Mnacho},
year = {2021},
month = mar,
journal = {Archive of Formal Proofs},
volume = {2021},
url = {https://isa-afp.org/entries/Projective_Measurements.html},
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.},
webnote = {Formal proof development in Isabelle, supplement to \cite{Echenim2021}},
bibsource = qplbib
}
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