430 citations · 595 across the 7 of their papers we have counts for
7 papers
Perfect state transfer by means of discrete-time quantum walk search algorithms on highly symmetric graphs
Martin Stefanak, Stanislav Skoupy
Perfect state transfer between two marked vertices of a graph by means of discrete-time quantum walk is analyzed. We consider the quantum walk search algorithm with two marked vert…
Controlling quantum walks with coin eigenstates
Martin Stefanak, Igor Jex
The control of quantum walk is made particularly transparent when the initial state is expressed in terms of the eigenstates of the coin operator. We show that the group-velocity d…
Limit distributions of three-state quantum walks: the role of coin eigenstates
Martin Stefanak, Iva Bezdekova, Igor Jex
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 propert…
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…
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…
Interference Phenomena in Quantum Information
Martin Stefanak
One of the key features of quantum mechanics is the interference of probability amplitudes. The reason for the appearance of interference is mathematically very simple. It is the l…