Geodesic
On a quantum logical element associated with the radical of a complex matrix
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 2, pp. 222-230.

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We construct new quantum logical elements realised by radicals of complex matrices. The geometry of these radicals is studied on the Reinhardt diagram.
Keywords: logical element, quantum computer, Reinhardt diagram.
Mots-clés : matrix radical 
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Matvey E. Durakov; Anton S. Kerp; Anton S. Lukotkin. On a quantum logical element associated with the radical of a complex matrix. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 2, pp. 222-230. http://geodesic.mathdoc.fr/item/JSFU_2019_12_2_a8/

[1] Yu.I. Manin, Computable and Uncomputable, Sovetskoe radio, M., 1980 (in Russian) | MR

[2] P. Benioff, “Quantum mechanical hamiltonian models of turing machines”, Journal of Statistical Physics, 29:3 (1982), 515–546 | DOI | MR | Zbl

[3] R.P. Feynman, “Simulating physics with computers”, International Journal of Theoretical Physics, 1982, no. 6, 467–488 | DOI | MR

[4] A.K. Guts, Complex analysis and informatics, Omsk Gos. Univer., 2002 (in Russian)

[5] B.V. Shabat, Introduction to complex analysis, v. 2, Nauka, M., 1976 (in Russian) | MR

[6] F.R. Gantmacher, The Theory of Matrices, AMS Chelsea Publishing ; Reprinted by American Mathematical Society, 2000 | MR