Open AccessFidelity of noisy multiple-control reversible gates
Author(s) -
V. G. Deı̆buk,
Ivan Yuriychuk,
Igor Lemberski
Publication year - 2020
Publication title -
semiconductor physics, quantum electronics and optoelectronics/semiconductor physics quantum electronics and optoelectronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.185
H-Index - 2
eISSN - 1605-6582
pISSN - 1560-8034
DOI - 10.15407/spqeo23.04.385
Subject(s) - toffoli gate , qubit , spins , gate count , quantum mechanics , quantum gate , physics , fidelity , topology (electrical circuits) , noise (video) , quantum computer , mathematics , quantum , computer science , condensed matter physics , combinatorics , telecommunications , artificial intelligence , image (mathematics) , embedded system
The effect of frequency noise on correct operation of the multiple-control Toffoli, Fredkin, and Peres gates has been discussed. In the framework of the Ising model, the energy spectrum of a chain of atoms with nuclear spins one-half in a spinless semiconductor matrix has been obtained, and allowed transitions corresponding to the operation algorithm of these gates have been determined. The fidelities of the obtained transitions were studied depending on the number of control qubits and parameters of the radio-frequency control pulses. It has been shown that correct operation of the Toffoli and Fredkin gates does not depend on the number of control qubits, while the Peres gate fidelity decreases significantly with the increasing number of control signals. The calculated ratios of the Larmor frequency to the exchange interaction constant correspond with the results of other studies.