Next Article in Journal
Students’ Acceptance and Tracking of a New Container-Based Virtual Laboratory
Next Article in Special Issue
Bohmian-Based Approach to Gauss-Maxwell Beams
Previous Article in Journal
Survey of Mission Planning and Management Architectures for Underwater Cooperative Robotics Operations
Previous Article in Special Issue
Double Slit with an Einstein–Podolsky–Rosen Pair
Open AccessReview

Measurements of Entropic Uncertainty Relations in Neutron Optics

by 1,†, 2,*,† and 2,3
1
Institute for Functional Matter and Quantum Technologies, University of Stuttgart, 70569 Stuttgart, Germany
2
Atominstitut, Vienna University of Technology, A-1020 Vienna, Austria
3
Division of Applied Physics, Hokkaido University Kita-ku, Sapporo 060-8628, Japan
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Appl. Sci. 2020, 10(3), 1087; https://doi.org/10.3390/app10031087
Received: 30 December 2019 / Revised: 3 February 2020 / Accepted: 4 February 2020 / Published: 6 February 2020
(This article belongs to the Special Issue Quantum Optics for Fundamental Quantum Mechanics)
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. View Full-Text
Keywords: uncertainty relation; joint measurability; quantum information theory; Shannon entropy; noise and disturbance; foundations of quantum measurement; neutron optics uncertainty relation; joint measurability; quantum information theory; Shannon entropy; noise and disturbance; foundations of quantum measurement; neutron optics
Show Figures

Figure 1

MDPI and ACS Style

Demirel, B.; Sponar, S.; Hasegawa, Y. Measurements of Entropic Uncertainty Relations in Neutron Optics. Appl. Sci. 2020, 10, 1087. https://doi.org/10.3390/app10031087

AMA Style

Demirel B, Sponar S, Hasegawa Y. Measurements of Entropic Uncertainty Relations in Neutron Optics. Applied Sciences. 2020; 10(3):1087. https://doi.org/10.3390/app10031087

Chicago/Turabian Style

Demirel, Bülent; Sponar, Stephan; Hasegawa, Yuji. 2020. "Measurements of Entropic Uncertainty Relations in Neutron Optics" Appl. Sci. 10, no. 3: 1087. https://doi.org/10.3390/app10031087

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

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop