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On a generalized entropic uncertainty relation in the case of the qubit
(IOP Publishing, 2013-11)
We revisit generalized entropic formulations of the uncertainty principle for an arbitrary pair of quantum observables in two-dimensional Hilbert space. Rényi entropy is used as an uncertainty measure associated with the ...
Beyond Landau-Pollak and entropic inequalities: Geometric bounds imposed on uncertainties sums
(American Physical Society, 2015-02-17)
In this paper we propose generalized inequalities to quantify the uncertainty principle. We deal with two observables with finite discrete spectra described by positive operator-valued measures (POVM) and with systems in ...
On the connection between complementarity and uncertainty principles in the Mach-Zehnder interferometric setting
(IOP Publishing, 2013-05)
We revisit the connection between the complementarity and uncertainty principles of quantum mechanics within the framework of Mach?Zehnder interferometry. We focus our attention on the trade-off relation between complementary ...
Controlling entropic uncertainty bound through memory effects
(2015-09-17)
One of the defining traits of quantum mechanics is the uncertainty principle which was originally expressed in terms of the standard deviation of two observables. Alternatively, it can be formulated using entropic measures, ...
General entropy-like uncertainty relations in finite dimensions
(IOP Publishing, 2014-11)
We revisit entropic formulations of the uncertainty principle (UP) for an arbitrary pair of positive operator-valued measures (POVM) A and B, acting on finite dimensional Hilbert space. Salicrú generalized (h, ) ϕ -entropies, ...
Entropic Analysis of the Quantum Oscillator with a Minimal Length
(Multidisciplinary Digital Publishing Institute, 2019-11-19)
The well-known Heisenberg-Robertson uncertainty relation for a pair of noncommuting observables, is expressed in terms of the product of variances and the commutator among the operators, computed for the quantum state of ...