Next Article in Journal
Sparse-Aware Bias-Compensated Adaptive Filtering Algorithms Using the Maximum Correntropy Criterion for Sparse System Identification with Noisy Input
Next Article in Special Issue
Uncertainty Relations for Coarse–Grained Measurements: An Overview
Previous Article in Journal
Thermoelectricity and Thermodiffusion in Magnetic Nanofluids: Entropic Analysis
Previous Article in Special Issue
Adiabatic Quantum Computation Applied to Deep Learning Networks
Article Menu
Issue 6 (June) cover image

Export Article

Open AccessArticle
Entropy 2018, 20(6), 406; https://doi.org/10.3390/e20060406

New Forms of Quantum Value Indefiniteness Suggest That Incompatible Views on Contexts Are Epistemic

Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10/136, 1040 Vienna, Austria
Received: 27 April 2018 / Revised: 14 May 2018 / Accepted: 15 May 2018 / Published: 24 May 2018
(This article belongs to the Special Issue Quantum Foundations: 90 Years of Uncertainty)
Full-Text   |   PDF [615 KB, uploaded 3 August 2018]   |  

Abstract

Extensions of the Kochen–Specker theorem use quantum logics whose classical interpretation suggests a true-implies-value indefiniteness property. This can be interpreted as an indication that any view of a quantum state beyond a single context is epistemic. A remark by Gleason about the ad hoc construction of probability measures in Hilbert spaces as a result of the Pythagorean property of vector components is interpreted platonically. Unless there is a total match between preparation and measurement contexts, information about the former from the latter is not ontic, but epistemic. This is corroborated by configurations of observables and contexts with a truth-implies-value indefiniteness property. View Full-Text
Keywords: quantum mechanics; Gleason theorem; Kochen–Specker theorem; Born rule quantum mechanics; Gleason theorem; Kochen–Specker theorem; Born rule
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Svozil, K. New Forms of Quantum Value Indefiniteness Suggest That Incompatible Views on Contexts Are Epistemic. Entropy 2018, 20, 406.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top