42 citations · 89 across the 5 of their papers we have counts for
6 papers
Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
Girish Agarwal, Roland Allen, Iva Bezdekova +29
The Winter Colloquium on the Physics of Quantum Electronics (PQE) has been a seminal force in quantum optics and related areas since 1971. It is rather mindboggling to recognize ho…
Limit density of 2D quantum walk: zeroes of the weight function
Martin Stefanak, Iva Bezdekova, Igor Jex
Properties of the probability distribution generated by a discrete-time quantum walk, such as the number of peaks it contains, depend strongly on the choice of the initial conditio…
Suitable bases for quantum walks with Wigner coins
Iva Bezdekova, Martin Stefanak, Igor Jex
The analysis of a physical problem simplifies considerably when one uses a suitable coordinate system. We apply this approach to the discrete-time quantum walks with coins given by…
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…
Stability of point spectrum for three-state quantum walks on a line
M. Stefanak, I. Bezdekova, I. Jex +1
Evolution operators of certain quantum walks possess, apart from the continuous part, also point spectrum. The existence of eigenvalues and the corresponding stationary states lead…
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…