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Phys. Rev. A 67, 062313 (2003) [7 pages]

Qutrit quantum computer with trapped ions

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A. B. Klimov1, R. Guzmán2, J. C. Retamal2, and C. Saavedra3,*
1Departamento de Física, Universidad de Guadalajara, Revolución 1500, 44410, Guadalajara, Jalisco, Mexico
2Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile
3Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile

Received 25 June 2002; revised 14 January 2003; published 26 June 2003

We study the physical implementation of a qutrit quantum computer in the context of trapped ions. Qutrits are defined in terms of electronic levels of trapped ions. We concentrate our attention on a universal two-qutrit gate, which corresponds to a controlled-NOT gate between qutrits. Using this gate and a general gate of an individual qutrit, any gate can be decomposed into a sequence of these gates. In particular, we show how this works for performing the quantum Fourier transform for n qutrits.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.062313
DOI:
10.1103/PhysRevA.67.062313
PACS:
03.67.Lx

*Electronic address: carlos.saavedra@udec.cl