Abstract:
In this paper we discuss methods for controlling the states of interacting superconducting flux qubits using energy-efficient devices of rapid single flux quantum logic (the resonators with Josephson nonlinearity). A comparative analysis for one - and two-qubit quantum logical operations performed both within the traditional control technique using Rabi pulses and using picosecond single unipolar magnetic field pulses is carried out. It is shown that by optimizing the shape and parameters of unipolar control pulses (associated, for example, with the propagation of fluxons in the transmission lines) it is possible to implement all the basic operations with the fidelity of more than 97%. The efficiency of the developed technique was demonstrated for programming a two-bit quantum processor that implements the simplest Deutsch–Joza algorithm.
Keywords:
qubit, quantum logical operations, Rabi-method, single unipolar pulses.
Citation:
M. V. Bastrakova, N. V. Klenov, A. M. Satanin, “One- and two-qubits quantum gates: Rabi-method and single unipolar pulses”, Fizika Tverdogo Tela, 61:9 (2019), 1565–1572; Phys. Solid State, 61:9 (2019), 1515–1522
\Bibitem{BasKleSat19}
\by M.~V.~Bastrakova, N.~V.~Klenov, A.~M.~Satanin
\paper One- and two-qubits quantum gates: Rabi-method and single unipolar pulses
\jour Fizika Tverdogo Tela
\yr 2019
\vol 61
\issue 9
\pages 1565--1572
\mathnet{http://mi.mathnet.ru/ftt8688}
\crossref{https://doi.org/10.21883/FTT.2019.09.48090.01N}
\elib{https://elibrary.ru/item.asp?id=41130234}
\transl
\jour Phys. Solid State
\yr 2019
\vol 61
\issue 9
\pages 1515--1522
\crossref{https://doi.org/10.1134/S106378341909004X}
Linking options:
https://www.mathnet.ru/eng/ftt8688
https://www.mathnet.ru/eng/ftt/v61/i9/p1565
This publication is cited in the following 10 articles:
R. M. Arkhipov, O. O. Dyachkova, M. V. Arkhipov, A. V. Pakhomov, N. N. Rosanov, “Dynamic Population Difference Gratings and Microcavities Induced by Extremely Short Pulses: Recent Advances and Future Prospects (Mini-review)”, Jetp Lett., 2025
A V Bogatskaya, E A Volkova, A M Popov, “Propagation of electromagnetic pulses with nonzero area in dissipative media”, Laser Phys. Lett., 21:1 (2024), 015401
Graziano Amati, “Dynamical signatures of non-Markovianity in a dissipative-driven qubit”, Phys. Rev. A, 109:5 (2024)
R. M. Arkhipov, “Dynamics of atomic population gratings in collisions of unipolar light pulses in a multilevel resonant medium”, Quantum Electron., 51:suppl. 5 (2024), S365–S373
N. N. Rosanov, M. V. Arkhipov, R. M. Arkhipov, “Extremely short and unipolar light pulses: state of the art”, Phys. Usp., 67:11 (2024), 1129–1138
Vsevolod Vozhakov, Marina Bastrakova, Nikolay Klenov, Arkady Satanin, Igor Soloviev, “Speeding up qubit control with bipolar single-flux-quantum pulse sequences”, Quantum Sci. Technol., 8:3 (2023), 035024
A. V. Bogatskaya, E. A. Volkova, A. M. Popov, “Propagation of electromagnetic pulses with a nonzero electrical area in conducting media”, Quantum Electron., 51:suppl. 2 (2024), S138–S145
N. N. Rosanov, M. V. Arkhipov, R. M. Arkhipov, A. V. Pakhomov, “Half-cycle electromagnetic pulses and pulse electric area”, Contemporary Physics, 64:3 (2023), 224
V. A. Vozhakov, M. V. Bastrakova, N. V. Klenov, I. I. Soloviev, W. V. Pogosov, D. V. Babukhin, A. A. Zhukov, A. M. Satanin, “State control in superconducting quantum processors”, Phys. Usp., 65:5 (2022), 421–439
M. V. Bastrakova, N. V. Klenov, A. M. Satanin, “Tomography of Qubit States and Implementation of Quantum Algorithms by Unipolar Pulses”, J. Exp. Theor. Phys., 131:4 (2020), 507