Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Progress of Theoretical Physics

Inconsistency of a Theory Including Different Kinds of Hidden Variables

Yasuo Yoshihuku

Published Feb 1, 1975• 0 citations
Publisher

Abstract

It is investigated whether different kinds of hidden variables can be consistently included in a theory in the experimental situation where two correlated photons undergo Compton scattering or are subjected to linear polarizers. We show that it is impossible to make a theory of hidden variables which predetermine simultaneously the linear polarization of one of the photons and the direction into which the other photon will ultimately be scattered.

DOI
10.1143/ptp.53.575

Related papers

Proposed Experiment to Test Local Hidden-Variable Theories

John F. Clauser, Michael Horne, Abner Shimony +1 more

A theorem of Bell, proving that certain predictions of quantum mechanics are inconsistent with the entire family of local hidden-variable theories, is generalized so as to apply to realizable experiments. A proposed extension of the experiment of Kocher and Commins, on the polarization correlation of a pair of optical photons, will provide a decisive test between quantum mechanics and local hidden-variable theories.

Physical Review Letters•Oct 13, 1969•7,573 citations

Comment on "How to make quantum mechanics look like a hidden-variable theory and vice versa"

Peter W. Milonni

The hidden-variable theory considered by Scully is discussed in the context of photon polarization correlations.Received 17 January 1984DOI:https://doi.org/10.1103/PhysRevD.32.1040©1985 American Physical Society

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Aug 15, 1985•5 citations

Thought Experiment to Test the Bell-Kochen-Specker Theory with Entaglement State of a Pair of Polarized photons

HE Ming-ming

Quantum entaglement is one of hot subjects of fundamental physics in recent years. Bell-Kochen-Specker theory, which shows the inconsistency between the theory of hidden variables and quantum mechanics, implies the global correlation of quantum systems. We in present paper analyse the entaglement state of a pair of polarized photons created by annihilation of the electron-positron pair and explain explicitly the inconsistency between background independent theory of hidden variables and quantum mechanics.

Acta Sinica Quantum Optica•Jan 1, 2001•0 citations

Experimental Test of Local Hidden-Variable Theories

S. J. Freedman, John F. Clauser

We have measured the linear polarization correlation of the photons emitted in an atomic cascade of calcium. It has been shown by a generalization of Bell's inequality that the existence of local hidden variables imposes restrictions on this correlation in conflict with the predictions of quantum mechanics. Our data, in agreement with quantum mechanics, violate these restrictions to high statistical accuracy, thus providing strong evidence against local hidden-variable theories.

Physical Review Letters•Apr 3, 1972•1,999 citations

Proposed Experiment to Test Local Hidden-Variable Theories

Ronald F. Fox, B. Rosner

It is shown that by making a plausible assumption concerning the behavior of linear polarizers, it is possible to relax the experimental condition of Clauser, Horne, Shimony, and Holt for testing local hidden-variable theories.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Aug 15, 1971•16 citations

Interferometry with Two Pairs of Spin Correlated Photons

Mladen Pavičić, Johann Summhammer

We propose a new experiment employing two independent sources of spin correlated photon pairs. Two photons from different unpolarized sources each pass through a polarizer to a detector. Although their trajectories never mix or cross, they exhibit fourth-order-interference-like correlations when the other two photons interfere on a beam splitter even when the latter two do not pass any polarizers at all. A wave packet calculation shows that the experiment permits a very discriminatory test of hidden variable theories.

arXiv:1008.0078•Physical Review Letters•Dec 12, 1994•26 citations
It is investigated whether different kinds of hidden variables can be consistently included in a theory in the experimental situation where two correlated photons undergo Compton scattering or are subjected to linear polarizers. We show that it is impossible to make a theory of hidden variables which predetermine simultaneously the linear polarization of one of the photons and the direction into which the other photon will ultimately be scattered.
Quantum entaglement is one of hot subjects of fundamental physics in recent years. Bell-Kochen-Specker theory, which shows the inconsistency between the theory of hidden variables and quantum mechanics, implies the global correlation of quantum systems. We in present paper analyse the entaglement state of a pair of polarized photons created by annihilation of the electron-positron pair and explain explicitly the inconsistency between background independent theory of hidden variables and quantum mechanics.
We propose a new experiment employing two independent sources of spin correlated photon pairs. Two photons from different unpolarized sources each pass through a polarizer to a detector. Although their trajectories never mix or cross, they exhibit fourth-order-interference-like correlations when the other two photons interfere on a beam splitter even when the latter two do not pass any polarizers at all. A wave packet calculation shows that the experiment permits a very discriminatory test of hidden variable theories.