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[en] A method is presented for implementing substitutions (S-boxes) in the form of quantum circuits without ancilla qubits. Quantum circuits are presented that implement substitutions in the GOST R 34.12-2015 block cipher “Magma” on four logical qubits, and the descriptions of quantum circuits implementing AES and GOST R 34.12-2015 “Kuznechik” S-boxes on 8 logical qubits—quantum circuits with minimum number of logical qubits—are given.
Journal
Journal of Experimental and Theoretical Physics; ISSN 1063-7761; 
; CODEN JTPHES; v. 128(6); p. 847-855
; CODEN JTPHES; v. 128(6); p. 847-855