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

arXiv:2103.04335 · Synthese Library/Synthese library

Explicit Construction of Local Hidden Variables for Any Quantum Theory Up to Any Desired Accuracy

Gerard ’t Hooft

Published Jan 1, 2022• 18 citations
arXivHTMLPDF
DOI
10.1007/978-3-030-99642-0_13

Related papers

Empirical consequences of the scientific construction: The program of local hidden-variables theories in quantum mechanics

Miguel Ferrero, Emilio Santos

Foundations of Physics•Jun 1, 1997•11 citations

Quantum correlation that admits local-hidden-variable theory rules out local hidden variables from quantum theory

Koji Nagata

•Feb 11, 2003•0 citations

Comparison of quantum and classical probabilities using a generalized density matrix formalism

Jinshan Wu, Shouyong Pei

Density Matrix is used to unify the description of classical and quantum objects. The idea is that both states of classical object and states of quantum object can be regarded as vectors in Hilbert space, so that all the states can be represented by density matrices. After constructing the general framework, we apply this to discuss the possibility to map a quantum density matrix onto a classical density matrix, which is also the question explored in Hidden Variable Theory (HVT) of Quantum Mechanics (QM). Bell's Theorem set a boundary between HVT and QM, but the place of the real quantum world depends on experiments. However, here HVT is ruled out just by theoretical consideration. We tackle this question by explicitly constructing the most general HVT, which gives all desired results according QM, and then checking its validity and acceptability. Relation between such HVT and Bell's inequality and Kochen-Specker theorem is also discussed.

arXiv:quant-ph/0503093•Mar 9, 2005•0 citations

Hidden variables and locality in quantum theory

Vandana Shiva

•Dec 1, 1978•0 citations

On the locality of hidden-variable theories in quantum physics

Masao Nagasawa

Chaos Solitons & Fractals•Nov 1, 1997•13 citations

Locality or Non-Locality in Quantum Mechanics: Hidden Variables without "Spooky Action-at-a-Distance"

Yakir Aharonov, Alonso Botero, Marian O. Scully

Abstract The folklore notion of the "Non-Locality of Quantum Mechanics" is examined from the point of view of hidden-variables theories according to Belinfante's classification in his Survey of Hidden Variables Theories. It is here shown that in the case of EPR, there exist hidden variables theories that successfully reproduce quantum-mechanical predictions, but which are explicitly local. Since such theories do not fall into Belinfante's classification, we propose an expanded classification which includes similar theories, which we term as theories of the "third" kind. Causal implications of such theories are explored. -Pacs: 03.65.Bz

Zeitschrift für Naturforschung A•Feb 1, 2001•11 citations
Density Matrix is used to unify the description of classical and quantum objects. The idea is that both states of classical object and states of quantum object can be regarded as vectors in Hilbert space, so that all the states can be represented by density matrices. After constructing the general framework, we apply this to discuss the possibility to map a quantum density matrix onto a classical density matrix, which is also the question explored in Hidden Variable Theory (HVT) of Quantum Mechanics (QM). Bell's Theorem set a boundary between HVT and QM, but the place of the real quantum world depends on experiments. However, here HVT is ruled out just by theoretical consideration. We tackle this question by explicitly constructing the most general HVT, which gives all desired results according QM, and then checking its validity and acceptability. Relation between such HVT and Bell's inequality and Kochen-Specker theorem is also discussed.
Abstract The folklore notion of the "Non-Locality of Quantum Mechanics" is examined from the point of view of hidden-variables theories according to Belinfante's classification in his Survey of Hidden Variables Theories. It is here shown that in the case of EPR, there exist hidden variables theories that successfully reproduce quantum-mechanical predictions, but which are explicitly local. Since such theories do not fall into Belinfante's classification, we propose an expanded classification which includes similar theories, which we term as theories of the "third" kind. Causal implications of such theories are explored. -Pacs: 03.65.Bz