Comment on "Improved bounds on entropic uncertainty relations"

Gustavo Martin Bosyk (1) , Mariela Portesi (1) , Angel Plastino (1) , Steeve Zozor (2)

1 IFLP - Instituto de Física La Plata [La Plata]
2 GIPSA-CICS - GIPSA - Communication Information and Complex Systems

We provide an analytical proof of the entropic uncertainty relations presented by J. I. de Vicente and J. Sánchez-Ruiz [Phys. Rev. A 77, 042110 (2008)] and also show that the replacement of Eq. (27) by Eq. (29) in that reference introduces solutions that do not take fully into account the constraints of the problem, which in turn lead to some mistakes in their treatment.

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

Gustavo Martin Bosyk, Mariela Portesi, Angel Plastino, Steeve Zozor. Comment on "Improved bounds on entropic uncertainty relations". Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2011, 84 (5), pp.056101. ⟨10.1103/PhysRevA.84.056101⟩. ⟨hal-00683690⟩