INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
congresos y reuniones científicas
Geometric formulation of uncertainty principle
BOSYK, GUSTAVO MARTÍN; PORTESI, MARIELA; OSÁN, TRISTÁN MARTÍN; LAMBERTI. PEDRO WALTER
Otro; Quantum Matter - Foundations and Applications; 2013
A geometric approach to formulate the Uncertainty Principle for two quantum observables on an N-dimensional Hilbert space is proposed. We consider the delity between a density operator for the quantum system and some observable projector, and interpret it as the probability of obtaining the corresponding outcome. We derive a family of uncertainty relations by using the triangle inequality for fidelity-based metrics. In the case of Wootters metric, we reobtain the Landau-Pollak inequality relation for pure states and show in a natural way its validity for mixed states as well. In addition, we derive novel uncertainty relations when using other available metrics.