scholarly journals Exact Discrete Analogs of Canonical Commutation and Uncertainty Relations

Mathematics ◽  
2016 ◽  
Vol 4 (3) ◽  
pp. 44 ◽  
Author(s):  
Vasily Tarasov
Keyword(s):  
Uncertainty Relations ◽  
Discrete Analogs

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

scholarly journals Sum Uncertainty Relations: Uncertainty Regions for Qubits and Qutrits

2021 ◽  
Author(s):  
Seeta Vasudevrao ◽  
I. Reena ◽  
A. R. Usha Devi ◽  
Sudha ◽  
A. K. Rajagopal
Keyword(s):  
Uncertainty Relations

scholarly journals Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Stephan Sponar ◽  
Armin Danner ◽  
Vito Pecile ◽  
Nico Einsidler ◽  
Bülent Demirel ◽  
...  
Keyword(s):  
Experimental Test ◽  
Uncertainty Relations ◽  
Noise Disturbance

scholarly journals Uncertainty Relations and Sparse Signal Recovery

2021 ◽  
pp. 163-196
Author(s):  
Erwin Riegler ◽  
Helmut Bökei
Keyword(s):  
Sparse Signal ◽  
Sparse Signal Recovery ◽  
Uncertainty Relations ◽  
Signal Recovery

scholarly journals Heisenberg uncertainty relations for relativistic bosons

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Iwo Bialynicki-Birula ◽  
Adam Prystupiuk
Keyword(s):  
Uncertainty Relations ◽  
Heisenberg Uncertainty ◽  
Heisenberg 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.

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