Beyond Landau–Pollak and entropic inequalities : geometric bounds imposed on uncertainty sums

Steeve Zozor (1, 2) , Gustavo Martin Bosyk (1, 2) , Mariela Portesi (1, 2) , Tristan Martín Osán (3) , Pedro Walter Lamberti (3)

1 GIPSA-CICS - GIPSA - Communication Information and Complex Systems
2 IFLP - Instituto de Física La Plata [La Plata]
3 FaMAF - Facultad de Matemática, Astronomía y Física [Cordoba]

Mots clés: POVM; pure and mixed states; entropic uncertainty relation; Landau–Pollak type inequalities; Generalized uncertainty relations

Domaines: Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]; Physique Quantique [quant-ph]

Steeve Zozor, Gustavo Martin Bosyk, Mariela Portesi, Tristan Martín Osán, Pedro Walter Lamberti. Beyond Landau–Pollak and entropic inequalities : geometric bounds imposed on uncertainty sums. MaxEnt - 34th International Workshop on Bayesian Inference and Maximun Entropy Methods in Science and Engineering (MaxEnt'14), Sep 2014, Amboise, France. pp.181-188, ⟨10.1063/1.4905977⟩. ⟨hal-01220704⟩