A notion of monitored recurrence for discrete-time quantum processes was recently
introduced in Grünbaum et al.(Commun Math Phys (2), 320: 543–569, 2013) taking the …

We introduce a family of discrete-time quantum walks, called two-partition model, based on
two equivalence-class partitions of the computational basis, which establish the notion of …

We consider the spectral and dynamical properties of one-dimensional quantum walks
placed into homogenous electric fields according to a discrete version of the minimal …

We analyze two families of three-state quantum walks which show the localization effect. We
focus on the role of the initial coin state and its coherence in controlling the properties of the …

In this note, we consider a physical system given by a two-dimensional quantum walk in an
external magnetic field. In this setup, we show that both the topological structure and its type …

Split-step quantum walks are models of supersymmetric quantum walk, and thus, their
Witten indices can be defined. We prove that the Witten index of a split-step quantum walk …

The uniform measure for discrete-time quantum walks in one dimension | SpringerLink Skip to
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We study space-inhomogeneous quantum walks (QWs) on the integer lattice which we
assign three different coin matrices to the positive part, the negative part, and the origin …

Recent work on return properties of quantum walks (the quantum analogue of random
walks) has identified their generating functions of first returns as Schur functions. This is …

We survey and develop the most elementary model of electron motion introduced by R.
Feynman. In this game, a checker moves on a checkerboard by simple rules, and we count …