scholarly journals Universal joint-measurement uncertainty relation for error bars

2007 ◽  
Vol 48 (8) ◽  
pp. 082103 ◽  
Author(s):  
P. Busch ◽  
D. B. Pearson
2019 ◽  
Vol 21 (1) ◽  
pp. 013038 ◽  
Author(s):  
Bülent Demirel ◽  
Stephan Sponar ◽  
Alastair A Abbott ◽  
Cyril Branciard ◽  
Yuji Hasegawa

2016 ◽  
Vol 116 (16) ◽  
Author(s):  
Wenchao Ma ◽  
Zhihao Ma ◽  
Hengyan Wang ◽  
Zhihua Chen ◽  
Ying Liu ◽  
...  

2004 ◽  
Vol 4 (6&7) ◽  
pp. 546-562
Author(s):  
R.F. Werner

We prove an uncertainty relation, which imposes a bound on any joint measurement of position and momentum. It is of the form (\Delta P)(\Delta Q)\geq C\hbar, where the `uncertainties' quantify the difference between the marginals of the joint measurement and the corresponding ideal observable. Applied to an approximate position measurement followed by a momentum measurement, the uncertainties become the precision \Delta Q of the position measurement, and the perturbation \Delta P of the conjugate variable introduced by such a measurement. We also determine the best constant C, which is attained for a unique phase space covariant measurement.


2020 ◽  
pp. 6-10
Author(s):  
A.E. Aslanyan ◽  
E.G. Aslanyan ◽  
S.M. Gavrilkin ◽  
A.S. Doynikov ◽  
A.N. Shchipunov

The article presents the results of studies to improve the National primary standard machine for hardness of metals on the shore D scale GET 161-2001, which were performed in FSUE “VNIIFTRI” from 2016 to 2018 in accordance with the technical task of Rosstandart.The improvement was carried out in order to ensure the uniformity of hardness measurements on the Leeb scales. The created new parts of the primary standard machine, which are settings for reproducing hardness numbers on the Leeb scales, are considered. Metrological characteristics of the upgraded and adopted National primary standard machine (GET 161-2019) were investigated, the budget of measurement uncertainty was calculated for reproducing hardness numbers on the Leeb scales.


2020 ◽  
Author(s):  
Konstantin B. Yushkov ◽  
Vladimir Ya. Molchanov ◽  
E.A. Khazanov

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