Abstract.
We propose a simple but practical scheme to implement a three-qubit Toffoli gate by a single resonant interaction in a trapped ion system. The scheme does not require two-qubit controlled-NOT gates but uses a three-qubit phase gate and two Hadamard gates, where the phase gate can be implemented by only a single resonant interaction of the trapped ions with the first lower vibrational sideband mode. Both the situations, with and without spontaneous ionic emission, are investigated. Discussions are made for the advantages and the experimental feasibility of our scheme.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P.W. Shor, in Proceedings of the 35th Annual Symposium on Foudations of Computer Science (IEEE Computer Society, Los Alamitos, CA, 1994), p. 116
L.K. Grover, Phys. Rev. Lett. 79, 4709 (1997)
T. Sleator, H. Weinfurter, Phys. Rev. Lett. 74, 4087 (1995)
T. Toffoli, in Automata Languages and Programming, Seventh Colloquium, edited by J.W. de Bakker, J. van Leeuwen, Lectures Notes in Computer Science (Springer, New York, 1980), Vol. 84
M.D. Price et al., Phys. Rev. A 60, 2777 (1999); D.G. Gory et al., Phys. Rev. Lett. 81, 2152 (1998)
L.-M. Duan, B. Wang, H.J. Kimble, Phys. Rev. A 72, 032333 (2005)
A. Gàbris, G.S. Agarwal, Phys. Rev. A 71, 052316 (2005)
J. Pachos, H. Walther, Phys. Rev. Lett. 89, 187903 (2002); S.B. Zheng, Phys. Rev. A 71, 062335 (2005)
C.F. Roos et al., Science 304, 1478 (2004)
D. Jonathan, M.B. Plenio, P.L. Kinght, Phys. Rev. A 62, 042307 (2002)
M. Feng, X.G. Wang, J. Opt. B: Quantum Semiclass. 4, 283 (2002)
F. Yamaguchi et al., Phys. Rev. A 66, 010302(R) (2002)
Z.J. Deng, M. Feng, K.L. Gao, Phys. Rev. A 72, 034306 (2005)
M. Feng, Phys. Rev. A 63, 052308 (2001)
K.A. Brickman et al., Phys. Rev. A 72, 050306(R) (2005)
J.I. Cirac, P. Zoller, Phys. Rev. Lett. 74, 4091 (1995); J.J. Garcia, P. Zoller, J.I. Cirac, Phys. Rev. Lett. 91, 157901 (2003); M. Šašura, A.M. Steane, Phys. Rev. A 67, 062318 (2003); S.B. Zheng, Phys. Rev. Lett. 90, 217901 (2003)
M. Šašura, V. Bužek, J. Mod. Opt. 49, 1593 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, CY., Li, SH. Toffoli gate made from a single resonant interaction with a trapped ion system . Eur. Phys. J. D 41, 557–561 (2007). https://doi.org/10.1140/epjd/e2006-00250-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2006-00250-8
PACS.
- 03.67.-a Quantum information
- 42.50.Dv Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements
- 14.90.+l Quantum computation with limited local control