Search results for "81P13"

showing 4 items of 14 documents

Probabilistic Contextuality in EPR/Bohm-type Systems with Signaling Allowed

2014

In this chapter, we review a principled way of defining and measuring contextuality in systems with deterministic inputs and random outputs, recently proposed and developed in \citep{KujalaDzhafarovLarsson2015,DKL2015FooP}.

Quantum PhysicsFOS: Biological sciencesQuantitative Biology - Neurons and CognitionProbability (math.PR)FOS: MathematicsFOS: Physical sciencesNeurons and Cognition (q-bio.NC)Quantum Physics (quant-ph)81P13 81Q99 60A99Mathematics - Probability
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Contextuality-by-Default: A Brief Overview of Ideas, Concepts, and Terminology

2015

This paper is a brief overview of the concepts involved in measuring the degree of contextuality and detecting contextuality in systems of binary measurements of a finite number of objects. We discuss and clarify the main concepts and terminology of the theory called "contextuality-by-default," and then discuss a possible generalization of the theory from binary to arbitrary measurements.

Quantum PhysicsProbability (math.PR)FOS: MathematicsFOS: Physical sciencesQuantum Physics (quant-ph)81P13 81Q99 60A99Mathematics - Probability
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Contextuality-by-Default 2.0: Systems with Binary Random Variables

2016

The paper outlines a new development in the Contextuality-by-Default theory as applied to finite systems of binary random variables. The logic and principles of the original theory remain unchanged, but the definition of contextuality of a system of random variables is now based on multimaximal rather than maximal couplings of the variables that measure the same property in different contexts: a system is considered noncontextual if these multimaximal couplings are compatible with the distributions of the random variables sharing contexts. A multimaximal coupling is one that is a maximal coupling of any subset (equivalently, of any pair) of the random variables being coupled. Arguments are …

Quantum PhysicsProbability (math.PR)FOS: MathematicsFOS: Physical sciencesQuantum Physics (quant-ph)81P13 81Q99 60A99Mathematics - Probability
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Contextuality Analysis of the Double Slit Experiment (With a Glimpse Into Three Slits)

2018

The Contextuality-by-Default theory is illustrated on contextuality analysis of the idealized double-slit experiment. The experiment is described by a system of contextually labeled binary random variables each of which answers the question: has the particle hit the detector, having passed through a given slit (left or right) in a given state (open or closed)? This system of random variables is a cyclic system of rank 4, formally the same as the system describing the EPR/Bell paradigm with signaling. Unlike the latter, however, the system describing the double-slit experiment is always noncontextual, i.e., the context-dependence in it is entirely explainable in terms of direct influences of…

Rank (linear algebra)inconsistent connectednessGeneral Physics and AstronomyFOS: Physical scienceslcsh:Astrophysics01 natural sciencesArticledirect influencesProbability theoryRealizabilitylcsh:QB460-4660103 physical sciencesFOS: MathematicscontextualitykvanttimekaniikkaStatistical physicslcsh:Science010306 general physicskvanttiteoriadouble-slitMathematicsQuantum Physicstriple-slitta114010308 nuclear & particles physicsta111Probability (math.PR)Observablecontext-dependencelcsh:QC1-999Constraint (information theory)Double-slit experimentcontext-dependence; contextuality; direct influences; double-slit; inconsistent connectedness; signaling; triple-slitlcsh:QMarginal distributiontodennäköisyyssignalingQuantum Physics (quant-ph)81P13 81Q99 60A99Random variablelcsh:PhysicsMathematics - Probability
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