Abstract
The relations between geometric phases and population inversion in Rabi oscillation are investigated for all possible cases. The results show that the population inverse is an elliptically symmetric distribution as a function of the difference of geometric phases so as resiliently to rebut certain types of computational and experiment errors in geometric quantum computation.
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Pancharatnam, S.: Proc. Ind. Acad. Sci. A 44, 1225 (1956)
Berry, M.V.: Proc. R. Soc. Lond., Ser. A 392, 45 (1984)
Aharonov, Y., Anandan, J.: Phys. Rev. Lett. 58, 1593 (1987)
Simon, B.: Phys. Rev. Lett. 51, 2167 (1983)
Wang, Z.S., et al.: Phys. Scr. 75, 494 (2007)
Wang, Z.S., et al.: Eur. Phys. J. D 33, 285 (2005)
Byrd, M.: J. Math. Phys. 39, 6125 (1998)
Strahov, E.: J. Math. Phys. 42, 2008 (2001)
Wang, Z.S., et al.: Europhys. Lett. 74, 958 (2006)
Wang, Z.S., et al.: Phys. Rev. A 75, 024102 (2007)
Wang, Z.S.: Int. J. Theor. Phys. 48, 2353 (2009)
Suter, D., Mueller, K.T., Pine, A.: Phys. Rev. Lett. 60, 1218 (1988)
Bhandari, R., Samuel, J.: Phys. Rev. Lett. 60, 1211 (1988)
Chiao, R.Y., et al.: Phys. Rev. Lett. 60, 1214 (1988)
Zanardi, P., Rasetti, M.: Phys. Lett. A 264, 94 (1999)
Wang, Z.S., et al.: Phys. Rev. A 76, 044303 (2007)
Wang, Z.S.: Phys. Rev. A 79, 024304 (2009)
Wang, Z.S., Liu, G.Q., Ji, Y.H.: Phys. Rev. A 79, 054301 (2009)
Bennett, C.H., DiVincenzo, D.P.: Nature (London) 404, 247 (2000)
Barenco, A., Deutsch, D., Ekert, A., Jozsa, R.: Phys. Rev. Lett. 74, 4083 (1995)
Gammon, D., et al.: Science 273, 87 (1996)
Bayer, M., et al.: Nature (London) 405, 923 (2000)
Chen, G.: Science 289, 1906 (2000)
Bonadeo, N.H., et al.: Science 282, 1473 (1998)
Zrenner, A., et al.: Nature (London) 418, 612 (2002)
Borri, P.: Phys. Rev. B 66, 081306(R) (2002)
Stievater, T.H.: Phys. Rev. Lett. 87, 133603 (2001)
Wang, Q.Q., et al.: Phys. Rev. B 72, 035306 (2005)
Sjöqvist, E., et al.: Phys. Rev. Lett. 85, 2845 (2000)
Carollo, A., Fuentes-Guridi, I., Franca Santos, M., Vedral, V.: Phys. Rev. Lett. 90, 160402 (2003)
Fonseca Romero, K.M., et al.: Physica A 307, 142 (2002)
Nazir, A., et al.: Phys. Rev. A 65, 042303 (2003)
Whitney, R.S., Gefen, Y.: Phys. Rev. Lett. 90, 190402 (2003)
De Chiara, G., Palma, M.: Phys. Rev. Lett. 91, 090404 (2003)
Whitney, R.S., et al.: Phys. Rev. Lett. 94, 070407 (2005)
Wang, Z.S., Wu, R.S.: Int. J. Theor. Phys. 48, 1859 (2009)
Wang, Z.S., et al.: Phys. Lett. A 359, 608 (2006)
Wang, Z.S., et al.: Phys. Lett. A 372, 775 (2008)
Leibfried, D., et al.: Nature 422, 422 (2003)
Zhu, S.L., Wang, Z.D.: Phys. Rev. Lett. 91, 187902 (2003)
Chen, C.Y., Feng, M., Zhang, X.L., Gao, K.L.: Phys. Rev. A 73, 032344 (2006)
Fuentes-Guridi, I., Bose, S., Vedral, V.: Phys. Rev. Lett. 85, 5018 (2000)
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Liu, D., Chen, Z.Q. & Wang, Z.S. Geometric Population Inversion in Rabi Oscillation. Int J Theor Phys 49, 497–505 (2010). https://doi.org/10.1007/s10773-009-0228-2
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DOI: https://doi.org/10.1007/s10773-009-0228-2