scholarly journals Pearle’s Hidden-Variable Model Revisited

Entropy ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 1 ◽  
Author(s):  
Richard David Gill
Keyword(s):  
Quantum Theory ◽  
Programming Language ◽  
Simulation Experiment ◽  
Hidden Variables ◽  
Variable Model ◽  
Open Problems ◽  
Hidden Variable ◽  
Particle Pairs ◽  
Statistical Programming

Pearle (1970) gave an example of a local hidden variables model which exactly reproduced the singlet correlations of quantum theory, through the device of data-rejection: particles can fail to be detected in a way which depends on the hidden variables carried by the particles and on the measurement settings. If the experimenter computes correlations between measurement outcomes of particle pairs for which both particles are detected, he or she is actually looking at a subsample of particle pairs, determined by interaction involving both measurement settings and the hidden variables carried in the particles. We correct a mistake in Pearle’s formulas (a normalization error) and more importantly show that the model is simpler than first appears. We illustrate with visualizations of the model and with a small simulation experiment, with code in the statistical programming language R included in the paper. Open problems are discussed.

scholarly journals Quantum theory cannot violate a causal inequality

2021 ◽  
Author(s):  
Tom Purves ◽  
Anthony Short
Keyword(s):  
Quantum Theory ◽  
Causal Model ◽  
Bell Inequality ◽  
Variable Model ◽  
Hidden Variable ◽  
Non Locality ◽  
Local Hidden Variable

Abstract Within quantum theory, we can create superpositions of different causal orders of events, and observe interference between them. This raises the question of whether quantum theory can produce results that would be impossible to replicate with any classical causal model, thereby violating a causal inequality. This would be a temporal analogue of Bell inequality violation, which proves that no local hidden variable model can replicate quantum results. However, unlike the case of non-locality, we show that quantum experiments can be simulated by a classical causal model, and therefore cannot violate a causal inequality.

scholarly journals Quantum postulate vs. quantum nonlocality: on the role of the Planck constant in Bell’s argument

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Nonlocality ◽  
Quantum Mechanical ◽  
Quantum Foundations ◽  
Planck Constant ◽  
Variable Model ◽  
Basic Principles ◽  
Fundamental Feature ◽  
Hidden Variable ◽  
Bell Model

AbstractWe present a quantum mechanical (QM) analysis of Bell’s approach to quantum foundations based on his hidden-variable model. We claim and try to justify that the Bell model contradicts to the Heinsenberg’s uncertainty and Bohr’s complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the Bohr’s quantum postulate: the existence of indivisible quantum of action given by the Planck constant h. By contradicting these basic principles of QM, Bell’s model implies rejection of this postulate as well. Thus, this hidden-variable model contradicts not only the QM-formalism, but also the fundamental feature of the quantum world discovered by Planck.

scholarly journals Robust Co-clustering to Discover Toxicogenomic Biomarkers and Their Regulatory Doses of Chemical Compounds Using Logistic Probabilistic Hidden Variable Model

2018 ◽  
Vol 9 ◽  
Author(s):  
Mohammad Nazmol Hasan ◽  
Md. Masud Rana ◽  
Anjuman Ara Begum ◽  
Moizur Rahman ◽  
Md. Nurul Haque Mollah
Keyword(s):  
Chemical Compounds ◽  
Variable Model ◽  
Hidden Variable

scholarly journals Get Rid of Nonlocality from Quantum Physics

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 806 ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Theory ◽  
Quantum System ◽  
Quantum Physics ◽  
Single Photon ◽  
Statistical Tests ◽  
Hidden Variables ◽  
Single Electron ◽  
Quantum Nonlocality ◽  
Single Quantum ◽  
Complementarity Principle

This paper is aimed to dissociate nonlocality from quantum theory. We demonstrate that the tests on violation of the Bell type inequalities are simply statistical tests of local incompatibility of observables. In fact, these are tests on violation of the Bohr complementarity principle. Thus, the attempts to couple experimental violations of the Bell type inequalities with “quantum nonlocality” is really misleading. These violations are explained in the quantum theory as exhibitions of incompatibility of observables for a single quantum system, e.g., the spin projections for a single electron or the polarization projections for a single photon. Of course, one can go beyond quantum theory with the hidden variables models (as was suggested by Bell) and then discuss their possible nonlocal features. However, conventional quantum theory is local.

scholarly journals Local Realistic Theory for PDC Experiments Based on the Wigner Formalism

2001 ◽  
Vol 56 (1-2) ◽  
pp. 178-181 ◽  
Author(s):  
Alberto Casado ◽  
Ramón Risco-Delgado ◽  
Emilio Santos
Keyword(s):  
Quantum Theory ◽  
Radiation Field ◽  
Hidden Variables ◽  
Standard Quantum ◽  
Realistic Theory ◽  
Photon Pairs ◽  
Parametric Down Conversion ◽  
Wigner Representation ◽  
Down Conversion ◽  
Made In

Abstract In this article we present a local hidden variables model for all experiments involving photon pairs produced in parametric down conversion, based on the Wigner representation of the radiation field. A modification of the standard quantum theory of detection is made in order to give a local realistic explanation of the counting rates in photodetectors. This model involves the existence of a real zeropoint field, such that the vacumm level of radiation lies below the threshold of the detectors.

scholarly journals Incompatible quantum measurements admitting a local-hidden-variable model

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Marco Túlio Quintino ◽  
Joseph Bowles ◽  
Flavien Hirsch ◽  
Nicolas Brunner
Keyword(s):  
Quantum Measurements ◽  
Variable Model ◽  
Hidden Variable ◽  
Local Hidden Variable

Epistemic Contextualism, Unarticulated Constituents and Hidden Variables

Dialogue ◽  
2015 ◽  
Vol 54 (2) ◽  
pp. 225-246
Author(s):  
AHMAD REZA HEMMATI MOGHADDAM
Keyword(s):  
Hidden Variables ◽  
Epistemic Contextualism ◽  
Truth Conditions ◽  
Epistemic Standard ◽  
Hidden Variable ◽  
Unarticulated Constituents

Epistemic contextualism was devised mainly to provide a solution to the problem of skepticism based on a thesis about the truth conditions of knowledge attributing sentences. In this paper, I’ll examine two possible semantic bases of epistemic contextualism i.e., (i) the epistemic standard is an unarticulated constituent, (ii) the epistemic standard is a hidden variable. After showing that the unarticulated constituent thesis is incompatible with epistemic contextualism, I’ll argue that the hidden variable account remains unconvincing. My aim in this paper is to show that questions remain that must be answered before epistemic contextualism can claim success in the project of resolving skepticism.

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