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Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 56:215301
We provide a detailed analysis of the survival probability of the Grover walk on the ladder graph with an absorbing sink. This model was discussed in Mareš et al (2020 Phys. Rev. A 101 032113), as an example of counter-intuitive behaviour in quantum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::795fc85a2b22fe8fc3f840fc9951149b
https://doi.org/10.1088/1751-8121/accfd4
https://doi.org/10.1088/1751-8121/accfd4
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e95c29cd0fb9175e45960d240bd137d2
http://arxiv.org/abs/2202.09582
http://arxiv.org/abs/2202.09582
Autor:
M. Štefaňák, S. Skoupý
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 ve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::890ddbad42d31011e6186daa79b6ccfe
Publikováno v:
Symmetry, Vol 13, Iss 1169, p 1169 (2021)
Symmetry
Volume 13
Issue 7
Symmetry
Volume 13
Issue 7
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b43254a48e2b96d0426c6920fc30f36
https://www.mdpi.com/2073-8994/13/7/1169
https://www.mdpi.com/2073-8994/13/7/1169
Publikováno v:
New Journal of Physics, Vol 18, Iss 2, p 023040 (2016)
Coherent transport of excitations along chains of coupled quantum systems represents an interesting problem with a number of applications ranging from quantum optics to solar cell technology. A convenient tool for studying such processes are quantum
Externí odkaz:
https://doaj.org/article/e72aeccb1ed84a058eca85c9dcc203c1
Publikováno v:
Physical Review A: Atomic, Molecular and Optical Physics, 102(1)
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, although the system is translationally invariant. The effect is dependent on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7eb12eac28a3308356df6f2feb6a97e1
https://ir.cwi.nl/pub/30028
https://ir.cwi.nl/pub/30028
Publikováno v:
Physical Review A. 101
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::562c274b09bd64e408dc2632e34fd072
https://doi.org/10.1103/physreva.101.032113
https://doi.org/10.1103/physreva.101.032113
Akademický článek
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