599 citations · 4k across the 83 of their papers we have counts for
4 papers · 2 filters
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…
A 2D Quantum Walk Simulation of Two-Particle Dynamics
Andreas Schreiber, Aurel Gabris, Peter P. Rohde +6
Multi-dimensional quantum walks can exhibit highly non-trivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present…
Asymptotic dynamics of coined quantum walks on percolation graphs
Bálint Kollár, Tamás Kiss, Jaroslav Novotný +1
Quantum walks obey unitary dynamics: they form closed quantum systems. The system becomes open if the walk suffers from imperfections represented as missing links on the underlying…