N Konno, R Portugal, I Sato, E Segawa - Quantum Information Processing, 2018 - Springer
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 …
C Cedzich, AH Werner - Communications in Mathematical Physics, 2021 - Springer
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 …
M Štefaňák, I Bezděková, I Jex - Physical Review A, 2014 - APS
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 …
C Cedzich, J Fillman, T Geib, AH Werner - Letters in Mathematical Physics, 2020 - Springer
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 …
Y Matsuzawa - Quantum Information Processing, 2020 - Springer
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 …
N Konno - Quantum information processing, 2014 - Springer
The uniform measure for discrete-time quantum walks in one dimension | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search …
C Kiumi, K Saito - Quantum Information Processing, 2021 - Springer
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 …
FA Grünbaum, L Velázquez - Advances in Mathematics, 2018 - Elsevier
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 …