Entropic uncertainty relations from quantum designs

Abstract

In this work, the authors show how to derive entropic uncertainty relations for measurements whose effects form quantum designs. Quantum designs are pseudo-random processes which are indistinguishable from purely random quantum processes as long as one is concerned with moments up to some finite order. Employing their properties allows the evaluation of measurement probabilities of large sets of observables leading to bounds on the sum of generalized entropies.

Topics & Concepts