Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Stefanak, Martin"'
Autor:
Skoupy, Stanislav, Stefanak, Martin
Publikováno v:
Phys. Rev. A 110, 022422 (2024)
Search and state transfer between hubs, i.e. fully connected vertices, on otherwise arbitrary connected graph is investigated. Motivated by a recent result of Razzoli et al. (J. Phys. A: Math. Theor. 55, 265303 (2022)) on universality of hubs in cont
Externí odkaz:
http://arxiv.org/abs/2409.02707
Autor:
Stefanak, Martin, Skoupy, Stanislav
We investigate state transfer on a hypercube by means of a quantum walk where the sender and the receiver vertices are marked by a weighted loops. First, we analyze search for a single marked vertex, which can be used for state transfer between arbit
Externí odkaz:
http://arxiv.org/abs/2302.07581
Autor:
Skoupy, Stanislav, Stefanak, Martin
Publikováno v:
Phys. Rev. A 103, 042222 (2021)
We investigate coined quantum walk search and state transfer algorithms, focusing on the complete $M$-partite graph with $N$ vertices in each partition. First, it is shown that by adding a loop to each vertex the search algorithm finds the marked ver
Externí odkaz:
http://arxiv.org/abs/2212.00546
Autor:
Stefanak, Martin
Monitored recurrence of a one-parameter set of three-state quantum walks on a line is investigated. The calculations are considerably simplified by choosing a suitable basis of the coin space. We show that the Polya number (i.e. the site recurrence p
Externí odkaz:
http://arxiv.org/abs/2212.00540
Quantum walks exhibit properties without classical analogues. One of those is the phenomenon of asymptotic trapping -- there can be non-zero probability of the quantum walker being localised in a finite part of the underlying graph indefinitely even
Externí odkaz:
http://arxiv.org/abs/2202.09582
We connect the Grover walk with sinks to the Grover walk with tails. The survival probability of the Grover walk with sinks in the long time limit is characterized by the centered generalized eigenspace of the Grover walk with tails. The centered eig
Externí odkaz:
http://arxiv.org/abs/2105.03111
Publikováno v:
Phys. Rev. A 102, 012207 (2020)
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 system is translationally invariant. The effect is dependent on the d
Externí odkaz:
http://arxiv.org/abs/2002.08070
Publikováno v:
Phys. Rev. A 101, 032113 (2020)
Quantum walks are accepted as a generic model for quantum transport. The character of the transport crucially depends on the properties of the walk like its geometry and the driving coin. We demonstrate that increasing transport distance between sour
Externí odkaz:
http://arxiv.org/abs/1908.10173
Publikováno v:
Phys. Rev. A 98, 012136 (2018)
We consider a two-state quantum walk on a line where after the first step an absorbing sink is placed at the origin. The probability of finding the walker at position $j$, conditioned on that it has not returned to the origin, is investigated in the
Externí odkaz:
http://arxiv.org/abs/1807.02765
Autor:
Nitsche, Thomas, Barkhofen, Sonja, Kruse, Regina, Sansoni, Linda, Štefaňák, Martin, Gábris, Aurél, Potoček, Václav, Kiss, Tamás, Jex, Igor, Silberhorn, Christine
Publikováno v:
Science Advances 29 Jun 2018: Vol. 4, no. 6, eaar6444
Measurements on a quantum particle unavoidably affect its state, since the otherwise unitary evolution of the system is interrupted by a non-unitary projection operation. In order to probe measurement-induced effects in the state dynamics using a qua
Externí odkaz:
http://arxiv.org/abs/1803.04712