430 citations · 1.2k across the 33 of their papers we have counts for
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Full-revivals in 2-D Quantum Walks
M. Stefanak, B. Kollar, T. Kiss +1
Recurrence of a random walk is described by the Polya number. For quantum walks, recurrence is understood as the return of the walker to the origin, rather than the full-revival of…
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…
Multi-walker discrete time quantum walks on arbitrary graphs, their properties, and their photonic implementation
Peter P. Rohde, Andreas Schreiber, Martin Stefanak +2
Quantum walks have emerged as an interesting alternative to the usual circuit model for quantum computing. While still universal for quantum computing, the quantum walk model has v…
Recurrences in three-state quantum walks on a plane
B. Kollár, M. Štefaňák, T. Kiss +1
We analyze the role of dimensionality in the time evolution of discrete time quantum walks through the example of the three-state walk on a two-dimensional, triangular lattice. We…