Proposal for realization of a Toffoli gate via cavity-assisted atomic collision

Quantum Information and Computation

Volumn 3, Issue 6, 2003, Pages 603-610

  Ollivier, Harold ^a,b   Milman, Perola ^c,d  

^a INRIA   (France)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c LABORATOIRE KASTLER BROSSEL   (France)

^d l'alimentation et l'Environnement   (France)

Author keywords

Cavity QED; Cavity assisted atomic collision; Toffoli gate

Indexed keywords

QUANTUM THEORY;

ATOMIC COLLISION; CAVITY FIELD; CAVITY QED; DECOHERENCE PROCESS; QUANTUM-INFORMATION PROCESSING; RYDBERG ATOMS; TOFFOLI GATES; VERSATILE TOOLS;

ATOMS;

EID: 0344552269     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. L. K. Grover (1996), A fast quantum mechanical algorithm for database search, in Proceedings of the 28th Annual ACM Symposium on the Theory of Computation, pp. 212-219, ACM press (New York, NY).
2. P. W. Shor (1994), Algorithms for quantum computation: Discrete logarithms and factoring, In S. Goldwasser, editor, Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, pp. 124-134, IEEE Computer Society (Los Alamitos, CA).
3. M. A. Nielsen and I. L. Chuang (2000), Quantum Computation and Quantum Information, Cambridge University Press (Cambridge, UK).
4. X. Wang, A. Sorensen, and K. Molmer (2001), Multibit gates for quantum computing, Phys. Rev. Lett., 86, pp. 3907.
5. J. Eisert, K. Jacobs, P. Papadopoulos, and M. B. Plenio (2000), Optimal local implementation of nonlocal quantum gates, Phys. Rev. A, 62, pp. 052317.
6. M. D. Price, S. S. Somaroo, A. E. Dunlop, T. F. Havel, and D. G. Cory (1999), Generalized methods for the development of quantum logic gates for an NMR quantum information processor, Phys. Rev. A, 60, pp. 2777-2780.
7. C. H. Bennett, A. W. Harrow, D. W. Leund, and J. A. Smolin (2003) On the capacities of bipartite Hamiltonians and unitary gates IEEE Trans. Inform. Theory, 49, pp. 1895-1911.
8. D. Bacon, J. Kempe, D. DiVincenzo, D. A. Lidar, and K. B. Whaley. Encoded universality in physical implementations of a quantum computer, In Proceedings of the International Conference on Experimental Implementation of Quantum Computation (IQC'01), Australia, 2001. Rinton Press. Also arXiv, quant-ph 0102140.
9. Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble (1995), Measurement of conditional phase shifts for quantum logic, Phys. Rev. Lett., 75, pp. 4710-4713.
10. A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. M. Raimond, and S. Haroche (1999), Coherent operation of a tunable quantum phase gate in cavity QED, Phys. Rev. Lett., 83, pp. 5166.
11. C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland (1995), Demonstration of a universal quantum logic gate, Phys. Rev. Lett., 75, pp. 4714-4717.
12. N. Gershenfeld and I. L. Chuang (1997), Bulk spin-resonance quantum computation, Science, 275, pp. 350-356.
13. J. A. Jones, M. Mosca, and R. H. Hansen (1998), Implementation of a quantum search algorithm on a quantum computer, Nature, 392, pp. 344-346.
14. Y. Shi (2003), Both Toffoli and control-NOT need little help to do universal quantum computation, arXiv, quant-ph, pp. 0205115.
15. David DiVincenzo and John Smolin (1994), Results on two-bit gate design for quantum computers, in Proceedings of the Workshop on Physics and Computation, pp. 14, IEEE Comput. Soc. Press (Los Alamitos, CA).
16. J. M. Raimond, M. Brune, and S. Haroche (2001), Colloquium: Manipulating quantum entanglement with atoms and photons in a cavity, Rev. Mod. Phys., 73, pp. 565.
17. G. Nogues, A. Rauschenbeutel, S. Osnaghi, M. Brune, J.M. Raimond, and S. Haroche (1999), Seeing a single photon without destroying it, Nature, 400, pp. 239-242.
18. S.-B. Zheng and G.-C. Guo (2000), Efficient scheme for two-atom entanglement and quantum information processing in cavity QED, Phys. Rev. Lett., 85, pp. 2392.
19. S.-B. Zheng (2001), One-step synthesis of multiatom Greenberger-Horne-Zeilinger states, Phys. Rev. Lett., 87, pp. 230404.
20. S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche (2001), Coherent control of an atomic collision in a cavity, Phys. Rev. Lett., 87, pp. 37902.
21. F. Yamaguchi, P. Milman, M. Brune, J.-M. Raimond, and S. Haroche (2002), Quantum search with two atoms collision in cavity QED, Phys. Rev. A, 66, pp. 010302(R).
22. P. Milman, H. Ollivier, and J. M. Raimond (2003), Universal quantum cloning in cavity QED, Phys. Rev. A, 67, pp. 012314.
23. XuBo Zou, K. Pahlke, and W. Mathis (2003), Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED, Phys. Rev. A, 67, pp. 024304.
24. M. O. Scully and M. S. Zubairy (2002), Cavity QED implementation of the discrete quantum Fourier transform, Phys. Rev. A, 65, pp. 052324.