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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 154–160
DOI: https://doi.org/10.4213/tm4183 (Mi tm4183) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Tunneling in Double-Layer Optical Waveguides as Quantum Walks on Graphs

A. A. Melnikova, A. P. Alodjantsb, L. E. Fedichkina

a Valiev Institute of Physics and Technology, Russian Academy of Sciences, Nakhimovskii prosp. 36-1, Moscow, 117218 Russia
b ITMO University, Kronverkskii prosp. 49, str. A, St. Petersburg, 197101 Russia
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DOI: https://doi.org/10.4213/tm4183
Abstract: Modern integrated photonic quantum technologies are based on optical waveguides. The propagation of light in optical waveguides allows one to implement quantum computation and bosonic quantum simulation. Nevertheless, to further develop photonic quantum devices, one needs a precise mathematical description of quantum dynamics in waveguides. In this paper, we consider a double-layer array of optical waveguides and find exact analytical expressions for the Hamiltonian of the system and its parameters. The results are obtained both in the ideal waveguide approximation and in the case of photon loss in the waveguides.
Keywords: quantum walks, optical waveguides.
Funding agency Grant number
Russian Foundation for Basic Research 19-52-52012 MHT-a
17-07-00994-a
Ministry of Science and Higher Education of the Russian Federation 0066-2019-0005
08-08
This work was supported by the Government of the Russian Federation (grant no. 08-08), by the Russian Foundation for Basic Research (project nos. 19-52-52012 MNT-a and 17-07-00994-a), and by Program no. 0066-2019-0005 of the Ministry of Science and Higher Education of the Russian Federation for the Valiev Institute of Physics and Technology of RAS.
Received: September 6, 2020
Revised: November 28, 2020
Accepted: March 30, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 142–148
DOI: https://doi.org/10.1134/S0081543821020140
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: Russian
Citation: A. A. Melnikov, A. P. Alodjants, L. E. Fedichkin, “Tunneling in Double-Layer Optical Waveguides as Quantum Walks on Graphs”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 154–160; Proc. Steklov Inst. Math., 313 (2021), 142–148
Citation in format AMSBIB
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\by A.~A.~Melnikov, A.~P.~Alodjants, L.~E.~Fedichkin
\paper Tunneling in Double-Layer Optical Waveguides as Quantum Walks on Graphs
\inbook Mathematics of Quantum Technologies
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 313
\pages 154--160
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4183}
\crossref{https://doi.org/10.4213/tm4183}
\elib{https://elibrary.ru/item.asp?id=46929059}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 313
\pages 142--148
\crossref{https://doi.org/10.1134/S0081543821020140}
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  • https://doi.org/10.4213/tm4183
  • https://www.mathnet.ru/eng/tm/v313/p154
    • This publication is cited in the following 2 articles:
    1. Roman Abramov, Leonid Fedichkin, Dmitry Tsarev, Alexander Alodjants, “High-dimensional graphs convolution for quantum walks photonic applications”, Quantum Inf Process, 23:5 (2024)  crossref
    2. A. Kryukov, R. Abramov, E. Fedichkin, A. Alodjants, A. Melnikov, “Supervised graph classification for chiral quantum walks”, Phys. Rev. A, 105:2 (2022), 022208  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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