Geodesic
Tunneling in Double-Layer Optical Waveguides as Quantum Walks on Graphs
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 154-160.

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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. 
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     author = {A. A. Melnikov and A. P. Alodjants and L. E. Fedichkin},
     title = {Tunneling in {Double-Layer} {Optical} {Waveguides} as {Quantum} {Walks} on {Graphs}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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A. A. Melnikov; A. P. Alodjants; L. E. Fedichkin. Tunneling in Double-Layer Optical Waveguides as Quantum Walks on Graphs. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 154-160. http://geodesic.mathdoc.fr/item/TM_2021_313_a13/

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