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Geometric formulation of the uncertainty principle
(2014)
A geometric approach to formulate the uncertainty principle between quantum observables acting on an N-dimensional Hilbert space is proposed. We consider the fidelity between a density operator associated with a quantum ...
Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
(2014)
We provide a twofold extension of Landau-Pollak uncertainty relations for mixed quantum states and for positive operator-valued measures, by recourse to geometric considerations. The generalization is based on metrics ...