Semiconductor Physics, Quantum Electronics & Optoelectronics, 23 (4), P. 385-392 (2020).

Fidelity of noisy multiple-control reversible gates
V.G. Deibuk1*, I.M. Yuriychuk1, I. Lemberski2

1Yuriy Fedkovych Chernivtsi National University, 58012 Chernivtsi, Ukraine
2International Radio Astronomy Centre, Ventspils University College, Ventspils, Latvia

Abstract. 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.

Keywords: squantum computing, multiple-control, Fredkin gate, Toffoli gate, Peres gate, fidelity.

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