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9 papers · 2 filters
Symmetries in discrete time quantum walks on Cayley graphs
Václav Potoček
We address the question of symmetries of an important type of quantum walks. We introduce all the necessary definitions and provide a rigorous formulation of the problem. Using a t…
Braiding Interactions in Anyonic Quantum Walks
Lauri J. Lehman, Vaclav Zatloukal, Jiannis K. Pachos +1
The anyonic quantum walk is a dynamical model describing a single anyon propagating along a chain of stationary anyons and interacting via mutual braiding statistics. We review the…
Transport properties of anyons in random topological environments
V. Zatloukal, L. Lehman, S. Singh +2
The quasi one-dimensional transport of Abelian and non-Abelian anyons is studied in the presence of a random topological background. In particular, we consider the quantum walk of…
Analysis and minimization of bending losses in discrete quantum networks
G. M. Nikolopoulos, A. Hoskovec, I. Jex
We study theoretically the transfer of quantum information along bends in two-dimensional discrete lattices. Our analysis shows that the fidelity of the transfer decreases consider…
Continuous deformations of the Grover walk preserving localization
Martin Stefanak, Iva Bezdekova, Igor Jex
The three-state Grover walk on a line exhibits the localization effect characterized by a non-vanishing probability of the particle to stay at the origin. We present two continuous…
Increasing the dimensionality of quantum walks using multiple walkers
Peter P. Rohde, Andreas Schreiber, Martin Stefanak +3
We show that with the addition of multiple walkers, quantum walks on a line can be transformed into lattice graphs of higher dimension. Thus, multi-walker walks can simulate single…