Correlações do tipo dímero aleatório em caminhadas quânticas em tempo discreto desordenadas

Abstract

Quantum walks have been investigated due to their applicability in modeling quantum computers. These computers use qubits as units of information and may be better than current computers for certain tasks, such as simulating physical systems. Due to its scale and need for precision, it is important to know how the presence of noise in these devices interferes with the speed of information transport. Thus, we investigated quantum walks with the presence of disorder. This disorder can be invariant in time, but vary in space, as well as the opposite: a disorder invariant in space but which varies in time. In the first case, the literature reports the occurrence of Anderson localization, while in the second, the walking regime becomes diffuse. We numerically investigate these two cases with the addition of a random dimer type correlation. The results obtained show that the presence of the correlation leads the walk to a superdiffusive regime in both types of disorder.