Measurements of Entropic Uncertainty Relations in Neutron Optics

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 m...
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Autor*in:	Bülent Demirel [verfasserIn] Stephan Sponar [verfasserIn] Yuji Hasegawa [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	uncertainty relation joint measurability quantum information theory shannon entropy noise and disturbance foundations of quantum measurement neutron optics

Übergeordnetes Werk:	In: Applied Sciences - MDPI AG, 2012, 10(2020), 3, p 1087
Übergeordnetes Werk:	volume:10 ; year:2020 ; number:3, p 1087

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/app10031087

Katalog-ID:	DOAJ005942985

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author	Bülent Demirel
spellingShingle	Bülent Demirel misc TA1-2040 misc QH301-705.5 misc QC1-999 misc QD1-999 misc uncertainty relation misc joint measurability misc quantum information theory misc shannon entropy misc noise and disturbance misc foundations of quantum measurement misc neutron optics misc Technology misc T misc Engineering (General). Civil engineering (General) misc Biology (General) misc Physics misc Chemistry Measurements of Entropic Uncertainty Relations in Neutron Optics
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title_sort	measurements of entropic uncertainty relations in neutron optics
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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.
abstractGer	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.
abstract_unstemmed	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.
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Measurements of Entropic Uncertainty Relations in Neutron Optics

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