56 citations · 140 across the 6 of their papers we have counts for
6 papers
Complete classification of trapping coins for quantum walks on the 2D square lattice
Bálint Kollár, András Gilyén, Iva Tkáčová +3
One of the unique features of discrete-time quantum walks is called trapping, meaning the inability of the quantum walker to completely escape from its initial position, albeit the…
Strongly trapped two-dimensional quantum walks
Bálint Kollár, Tamás Kiss, Igor Jex
Discrete time quantum walks (DTQWs) are nontrivial generalizations of random walks with a broad scope of applications. In particular, they can be used as computational primitives,…
Entropy rate of message sources driven by quantum walks
Bálint Kollár, Mátyás Koniorczyk
The amount of information generated by a discrete time stochastic processes in a single step can be quantified by the entropy rate. We investigate the differences between two discr…
Percolation induced effects in 2D coined quantum walks: analytic asymptotic solutions
Bálint Kollár, Jaroslav Novotný, Tamás Kiss +1
Quantum walks on graphs can model physical processes and serve as efficient tools in quantum information theory. Once we admit random variations in the connectivity of the underlyi…
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…
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…