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Computación y Sistemas
versión On-line ISSN 2007-9737versión impresa ISSN 1405-5546
Comp. y Sist. vol.19 no.1 Ciudad de México ene./mar. 2015
https://doi.org/73
Artículos
Times of Execution of the Quantum NOT Gate Operating on One of Two Interacting Qubits
Manuel Ávila and Laura Alejandra Peñaloza
Universidad Autónoma de Estado de México, Centro Universitario UAEM Valle de Chalco, Estado de México, México. alejandra_penaloza@live.com.mx.
Corresponding author is Laura Alejandra Peñaloza.
Article received on 11/06/2014.
Accepted on 09/01/2015.
Abstract
It is generally believed that entanglement speeds up Quantum Information Processing (QIP). However, we prove that for a system of two interacting qubits through a XXZ Hamiltonian which are maximally entangled it is not possible to execute a quantum NOT gate operating on one of these two qubits. The interaction between the two qubits means presence of noise in one of them. If the two interacting qubits are not entangled, the times of execution of the quantum NOT gate operating on one of the two qubits are not small enough. Since the times of execution of the quantum NOT gate operating on one of the two interacting qubits is extremely large, we conclude that the execution of the quantum NOT gate operating on one of two interacting qubits is not possible.
Keywords: XXZ Hamiltonian, qubits, quantum NOT gate.
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References
1. Barrett, M., Chiaverini, J., Schaetz, T., Britton, J., Itano, W., Jost, J., Knill, E., Langer, C., Leibfried, D., Ozeri, R., et al. (2004). Deterministic quantum teleportation of atomic qubits. Nature, Vol. 429, No. 6993, pp. 737-739. [ Links ]
2. Bennett, C. H., Bernstein, H. J., Popescu, S., & Schumacher, B. (1996). Concentrating partial entanglement by local operations. Physical Review A, Vol. 53, No. 4, pp. 2046-2052. [ Links ]
3. Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996). Mixed-state entanglement and quantum error correction. Physical Review A, Vol. 54, No. 5, pp. 3824-3851. [ Links ]
4. Blinov, B., Moehring, D., Duan, L.-M., & Monroe, C. (2004). Observation of entanglement between a single trapped atom and a single photon. Nature, Vol. 428, No. 6979, pp. 153-157. [ Links ]
5. Brune, M., Hagley, E., Dreyer, J., Maitre, X., Maali, A., Wunderlich, C., Raimond, J., & Haroche, S. (1996). Observing the progressive decoherence of the meter in a quantum measurement. Physical Review Letters, Vol. 77, No. 24, pp. 4887-4890. [ Links ]
6. Eckstein, M. & Werner, P. (2013). Dielectric breakdown of mott insulators-doublon production and doublon heating. Journal of Physics: Conference Series, Vol. 427, No. 012005. [ Links ]
7. Julsgaard, B., Kozhekin, A., & Polzik, E. S. (2001 ). Experimental long-lived entanglement of two macroscopic objects. Nature, Vol. 413, No. 6854, pp. 400-403. [ Links ]
8. Nielsen, M. A. & Chuang, I. L. (2010). Quantum computation and quantum information. Cambridge University Press. [ Links ]
9. Pan, J.-W., Gasparoni, S., Ursin, R., Weihs, G., & Zeilinger, A. (2003). Experimental en-states. Nature, Vol. 423, No. 6938, pp. 417-422. [ Links ]
10. Raimond, J.-M., Brune, M., & Haroche, S. (2001 ). Manipulating quantum entanglement with atoms and photons in a cavity. Reviews of Modern Physics, Vol. 73, No. 3, pp. 565-582. [ Links ]
11. Riebe, M., Háffner, H., Roos, C., Hansel, W., Benhelm, J., Lancaster, G., Korber, T., Becher, C., Schmidt-Kaler, F., James, D., et al. (2004). Deterministic quantum teleportation with atoms. Nature, Vol. 429, No. 6993, pp. 734-737. [ Links ]
12. Sackett, C., Kielpinski, D., King, B., Langer, C., Meyer, V., Myatt, C., Rowe, M., Turchette, Q., Itano, W., Wineland, D., et al. (2000). Experimental entanglement of four particles. Nature, Vol. 404, No. 6775, pp. 256-259. [ Links ]
13. Sakurai, J. J. & Tuan, S. F. (1985). Modern quantum mechanics, volume 1. Addison-Wesley Reading, Massachusetts. [ Links ]