Abstract
The possibility of using multilevel quantum systems with a discrete nonequidistant spectrum for the physical implementation of a universal collection of quantum gates, which is required for constructing an arbitrary algorithm for a quantum computer, is studied on the basis of the proposed virtual-spin formalism. It is shown that such a set of gates, including two-qubit gates, can be constructed on a single spin-3/2 nucleus. The assertion that three-qubit gates can also be realized on a single spin-7/2 quantum particle is substantiated.
Similar content being viewed by others
References
T. P. Das and E. L. Hahn, in Solid State Physics (Academic Press, New York, 1958), Supplement 1.
A. R. Kessel’ and V. L. Ermakov, Pis’ma Zh. Éksp. Teor. Fiz. 70, 59 (1999) [JETP Lett. 70, 61 (1999)].
T. P. Das and A. K. Saha, Phys. Rev. 98, 516 (1955).
N. A. Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
D. G. Cory, M. D. Price, and T. F. Havel, Physica D 120, 82 (1998).
E. Knill, I. L. Chuang, and R. Laflamme, Phys. Rev. A 57, 3348 (1998).
R. Laflamme, E. Knill, W. H. Zurek, et al., Philos. Trans. R. Soc. London, Ser. A 356, 1941 (1998).
R. P. Feynman, Int. J. Theor. Phys. 21, 467 (1982).
A. Barenco, C. H. Bennett, R. Cleve, et al., Phys. Rev. A 52, 3457 (1995).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 117, No. 3, 2000, pp. 517–525.
Original Russian Text Copyright © 2000 by Kesel’, Ermakov.
Rights and permissions
About this article
Cite this article
Kesel’, A.R., Ermakov, V.L. Virtual qubits: Multilevels instead of multiparticles. J. Exp. Theor. Phys. 90, 452–459 (2000). https://doi.org/10.1134/1.559125
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.559125