scholarly journals Entropic Uncertainty Relations for Successive Measurements in the Presence of a Minimal Length

Entropy ◽  
2018 ◽  
Vol 20 (5) ◽  
pp. 354 ◽  
Author(s):  
Alexey Rastegin
Keyword(s):  
Minimal Length ◽  
Uncertainty Relations ◽  
Entropic Uncertainty Relations

scholarly journals Tight entropic uncertainty relations for systems with dimension three to five

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

scholarly journals On Uncertainty Relations and Entanglement Detection with Mutually Unbiased Measurements

2015 ◽  
Vol 22 (01) ◽  
pp. 1550005 ◽  
Author(s):  
Alexey E. Rastegin
Keyword(s):  
The State ◽  
Uncertainty Relations ◽  
Trade Off ◽  
Entropic Uncertainty Relations ◽  
Finite Dimensional ◽  
State Dependent ◽  
Entanglement Detection

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.

scholarly journals Entropic uncertainty relations under the relativistic motion

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

scholarly journals Entropic uncertainty relations

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

Probing entropic uncertainty relations under a two-atom system coupled with structured bosonic reservoirs

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

scholarly journals Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems

Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 763 ◽  
Author(s):  
Ana Costa ◽  
Roope Uola ◽  
Otfried Gühne
Keyword(s):  
Relative Entropy ◽  
Uncertainty Relation ◽  
Uncertainty Relations ◽  
W States ◽  
Entropic Uncertainty Relations ◽  
Entropic Uncertainty Relation ◽  
Local Measurements ◽  
Action At A Distance ◽  
Quantum Steering ◽  
Joint Convexity

The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.

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