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Measurements of Entropic Uncertainty Relations in Neutron Optics

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Title: Measurements of Entropic Uncertainty Relations in Neutron Optics
Authors: Demirel, Buelent Browse this author
Sponar, Stephan Browse this author
Hasegawa, Yuji Browse this author
Keywords: uncertainty relation
joint measurability
quantum information theory
Shannon entropy
noise and disturbance
foundations of quantum measurement
neutron optics
Issue Date: Feb-2020
Publisher: MDPI
Journal Title: Applied sciences
Volume: 10
Issue: 3
Start Page: 1087
Publisher DOI: 10.3390/app10031087
Abstract: The emergence of the uncertainty principle has celebrated its 90th anniversary recently. For this occasion, the latest experimental results of uncertainty relations quantified in terms of Shannon entropies are presented, concentrating only on outcomes in neutron optics. The focus is on the type of measurement uncertainties that describe the inability to obtain the respective individual results from joint measurement statistics. For this purpose, the neutron spin of two non-commuting directions is analyzed. Two sub-categories of measurement uncertainty relations are considered: noise-noise and noise-disturbance uncertainty relations. In the first case, it will be shown that the lowest boundary can be obtained and the uncertainty relations be saturated by implementing a simple positive operator-valued measure (POVM). For the second category, an analysis for projective measurements is made and error correction procedures are presented.
Rights: © 2020 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/).
http://creativecommons.org/licenses/by/4.0/
Type: article
URI: http://hdl.handle.net/2115/78392
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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