scholarly journals Flavor-mass majorization uncertainty relations and their links to the mixing matrix

2021 ◽  
Vol 36 (29) ◽  
Author(s):  
Alexey E. Rastegin ◽  
Anzhelika M. Shemet

Uncertainties in flavor and mass eigenstates of neutrinos are considered within the majorization approach. Nontrivial bounds reflect the fact that neutrinos cannot be simultaneously in flavor and mass eigenstates. As quantitative measures of uncertainties, both the Rényi and Tsallis entropies are utilized. Within the current amount of experience concerning the mixing matrix, majorization uncertainty relations need to put values of only two parameters, viz. [Formula: see text] and [Formula: see text]. That is, the majorization approach is applicable within the same framework as the Maassen–Uffink relation recently utilized in this context. We also consider the case of detection inefficiencies, since it can naturally be incorporated into the entropic framework. Short comments on applications of entropic uncertainty relations with quantum memory are given.

2019 ◽  
Vol 531 (10) ◽  
pp. 1900124 ◽  
Author(s):  
Dong Wang ◽  
Fei Ming ◽  
Ming‐Liang Hu ◽  
Liu Ye

2017 ◽  
Vol 14 (5) ◽  
pp. 055205 ◽  
Author(s):  
Dong Wang ◽  
Fei Ming ◽  
Ai-Jun Huang ◽  
Wen-Yang Sun ◽  
Jia-Dong Shi ◽  
...  

2017 ◽  
Vol 95 (3) ◽  
Author(s):  
Alberto Riccardi ◽  
Chiara Macchiavello ◽  
Lorenzo Maccone

2015 ◽  
Vol 22 (01) ◽  
pp. 1550005 ◽  
Author(s):  
Alexey E. Rastegin

We formulate some properties of a set of several mutually unbiased measurements. These properties are used for deriving entropic uncertainty relations. Applications of mutually unbiased measurements in entanglement detection are also revisited. First, we estimate from above the sum of the indices of coincidence for several mutually unbiased measurements. Further, we derive entropic uncertainty relations in terms of the Rényi and Tsallis entropies. Both the state-dependent and state-independent formulations are obtained. Using the two sets of local mutually unbiased measurements, a method of entanglement detection in bipartite finite-dimensional systems may be realized. A certain trade-off between a sensitivity of the scheme and its experimental complexity is discussed.


2013 ◽  
Vol 726 (1-3) ◽  
pp. 527-532 ◽  
Author(s):  
Jun Feng ◽  
Yao-Zhong Zhang ◽  
Mark D. Gould ◽  
Heng Fan

1984 ◽  
Vol 103 (5) ◽  
pp. 253-254 ◽  
Author(s):  
Iwo Bialynicki-Birula

2018 ◽  
Vol 17 (12) ◽  
Author(s):  
Dong Wang ◽  
Wei-Nan Shi ◽  
Ross D. Hoehn ◽  
Fei Ming ◽  
Wen-Yang Sun ◽  
...  

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