… irrational and, because of this, the behavior of the walk is … to exactly study any quantum
walk generated by an integral … with irrational eigenvalues—what we call irrational quantum …

… In this paper we consider both rational and irrational flux ratios α = /0 to find out the effects
of the magnetic field on the characteristics of QWs such as the variance, participation ratio, …

… quantum notion of joint distribution, we visit a central limit theorem for such pairs and a
resulting family of quantum … , together with a corresponding family of quantum stochastic areas. …

… in the dispersion relation of a walk. Exactly the same system as … In the irrational case Anderson
localization [42–44] is … number, but we also exhibit irrational cases with a quite different …

… quantum walks are highly nonGaussian, however we analyze the standard deviations of these
walks … consider random walks on the circle, where the step size is an irrational multiple of . …

We present a short review of discrete-time quantum walks (DTQW) as a potentially useful and
rich formalism to model human decision-making. We present a pedagogical introduction of …

… quantum walks, we introduce an extra operation in each step to implement the effect of the
field. The recorded dynamics of such a quantum … phase is a rational or irrational fraction of 2 . …

… of quantum walks in the context of decision making, we aim to generalize and enrich SRDT
with typical quantum … useful in the previously developed Quantum Decision Theory (QDT) [2]. …

… quantum walks obeying a set of discrete symmetries has been obtained [17–25]. Quantum
walks … Denoting by ci the continued fraction coefficients of an irrational number x and by ni/mi …

… quantum walk, and we focus on the efforts to characterize the graphs on which perfect state
transfer is possible. The continuous-time quantum walk … both integers and irrational numbers. …