Geometric phase of two-qubit system with dissipative effects. (English) Zbl 1298.81038
Summary: Geometric phase is investigated for two initially entangled qubits interacting with environment. We find that time-dependent Pancharatnam phase oscillates with almost the same frequency and slight different amplitude. The result provides a useful clue to implement geometric quantum calculation.
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81Q70 | Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory |
References:
| [1] | Wang, Z. S.; Wu, R. S., No article title, Int. J. Theor. Phys., 48, 1859 (2009) · Zbl 1171.81305 · doi:10.1007/s10773-009-9956-6 |
| [2] | Pancharatnam, S., No article title, Proc. Indian Acad. Sci. A, 44, 247 (1956) |
| [3] | Berry, M. V., No article title, Proc. R. Soc. A, 392, 45 (1984) · Zbl 1113.81306 · doi:10.1098/rspa.1984.0023 |
| [4] | Aharonov, Y.; Anandan, J., No article title, Phys. Rev. Lett., 58, 1593 (1987) · doi:10.1103/PhysRevLett.58.1593 |
| [5] | Wang, Z. S.; Kwek, L. C.; Lai, C. H.; Oh, C. H., No article title, Phys. Scr., 75, 494 (2007) · Zbl 1111.81072 · doi:10.1088/0031-8949/75/4/022 |
| [6] | Liu, D.; etal., No article title, Int. J. Theor. Phys., 49, 497 (2010) · Zbl 1188.81193 · doi:10.1007/s10773-009-0228-2 |
| [7] | Byrd, M., No article title, J. Math. Phys., 39, 6125 (1998) · Zbl 0935.81031 · doi:10.1063/1.532618 |
| [8] | Strahov, E., No article title, J. Math. Phys., 42, 2008 (2001) · Zbl 1015.81028 · doi:10.1063/1.1358879 |
| [9] | Wang, Z. S., No article title, Int. J. Theor. Phys., 48, 2353 (2009) · Zbl 1171.81389 · doi:10.1007/s10773-009-0024-z |
| [10] | Wagh, A. G.; Rakhecha, V. C., No article title, Phys. Rev. Lett., 81, 1992 (1998) · doi:10.1103/PhysRevLett.81.1992 |
| [11] | Du, J.; Zou, P.; Wang, Z. D., No article title, Phys. Rev. A, 74 (2006) · doi:10.1103/PhysRevA.74.020302 |
| [12] | Simon, B., No article title, Phys. Rev. Lett., 51, 2167 (1983) · doi:10.1103/PhysRevLett.51.2167 |
| [13] | Wang, Z. S.; Kwek, L. C.; Lai, C. H.; Oh, C. H., No article title, Europhys. Lett., 74, 958 (2006) · doi:10.1209/epl/i2006-10057-1 |
| [14] | Nukunda, N.; Simon, R., No article title, Ann. Phys., 228, 205 (1993) · Zbl 0791.58121 · doi:10.1006/aphy.1993.1093 |
| [15] | Wilczek, F.; Zee, A., No article title, Phys. Rev. Lett., 52, 2111 (1984) · doi:10.1103/PhysRevLett.52.2111 |
| [16] | Wang, Z. S.; Kwek, L. C.; Lai, C. H.; Oh, C. H., No article title, Phys. Lett. A, 359, 608 (2006) · Zbl 1236.81125 · doi:10.1016/j.physleta.2006.07.071 |
| [17] | Wang, Z. S.; Wu, C.; Feng, X.-L.; Kwek, L. C.; Lai, C. H.; Oh, C. H.; Vedral, V., No article title, Phys. Lett. A, 372, 775 (2008) · Zbl 1217.81103 · doi:10.1016/j.physleta.2007.08.042 |
| [18] | Uhlmann, A., No article title, Rep. Math. Phys., 24, 229 (1986) · Zbl 0644.46058 · doi:10.1016/0034-4877(86)90055-8 |
| [19] | Sjöqvist, E.; Pati, A. K.; Ekert, A.; Anandan, J. S.; Ericsson, M.; Oi, D. K.L.; Vedral, V., No article title, Phys. Rev. Lett., 85, 2845 (2000) · doi:10.1103/PhysRevLett.85.2845 |
| [20] | Carollo, A.; Fuentes-Guridi, I.; Santos, M. F.; Vedral, V., No article title, Phys. Rev. Lett., 90 (2003) · Zbl 1267.81180 · doi:10.1103/PhysRevLett.90.160402 |
| [21] | Wang, Z. S.; Wu, C.; Feng, X.-L.; Kwek, L. C.; Lai, C. H.; Oh, C. H., No article title, Phys. Rev. A, 75 (2007) · doi:10.1103/PhysRevA.75.024102 |
| [22] | Wang, Z. S.; etal., No article title, Eur. Phys. J. D, 33, 285 (2005) · doi:10.1140/epjd/e2005-00032-x |
| [23] | Ericsson, M.; Pati, A. K.; Sjöqvist, E.; Brännlund, J.; Oi, D. K.L., No article title, Phys. Rev. Lett., 91 (2003) · doi:10.1103/PhysRevLett.91.090405 |
| [24] | Jiang, Y.; etal., No article title, Phys. Rev. A, 82 (2010) · doi:10.1103/PhysRevA.82.062108 |
| [25] | Whitney, R. S.; Makhlin, Y.; Shnirman, A.; Gefen, Y., No article title, Phys. Rev. Lett., 94 (2005) · doi:10.1103/PhysRevLett.94.070407 |
| [26] | Wang, Z. S., No article title, Int. J. Theor. Phys., 51, 3647 (2012) · Zbl 1263.81233 · doi:10.1007/s10773-012-1251-2 |
| [27] | Sarandy, M. S.; Lidar, D. A., No article title, Phys. Rev. A, 73 (2006) · doi:10.1103/PhysRevA.73.062101 |
| [28] | Xu, H.; etal., No article title, Int. J. Theor. Phys., 50, 497 (2011) · Zbl 1209.81126 · doi:10.1007/s10773-010-0558-0 |
| [29] | Yu, Y.; etal., No article title, Int. J. Theor. Phys., 50, 148 (2011) · Zbl 1211.81107 · doi:10.1007/s10773-010-0503-2 |
| [30] | Chen, Z. Q.; Guo, L. P.; Luo, F. F., No article title, Europhys. Lett., 96, 40011 (2011) · doi:10.1209/0295-5075/96/40011 |
| [31] | Xu, H.-l.; etal., No article title, J. Magn. Reson., 223, 25 (2012) · doi:10.1016/j.jmr.2012.07.009 |
| [32] | Yu, Y.; etal., No article title, Physica C, 495, 88 (2013) · doi:10.1016/j.physc.2013.08.007 |
| [33] | Wang, Z. S.; etal., No article title, Int. J. Theor. Phys., 51, 2850 (2012) · Zbl 1261.81068 · doi:10.1007/s10773-012-1159-x |
| [34] | Shor, P.: In: Proc. 35th Annual Symp. on Found. of Computer Science, pp. 124-134. IEEE Computer Society, Los Alamitos (1994) · doi:10.1109/SFCS.1994.365700 |
| [35] | Chen, Z. Q.; etal., No article title, Int. J. Theor. Phys., 49, 18 (2010) · Zbl 1184.81087 · doi:10.1007/s10773-009-0173-0 |
| [36] | Barenco, A.; Deutsch, D.; Ekert, A.; Jozsa, R., No article title, Phys. Rev. Lett., 74, 4083 (1995) · doi:10.1103/PhysRevLett.74.4083 |
| [37] | Yang, W.; etal., No article title, Int. J. Theor. Phys., 50, 260 (2010) · Zbl 1211.81050 · doi:10.1007/s10773-010-0518-8 |
| [38] | Troiani, F.; Hohenester, U.; Molinari, E., No article title, Phys. Rev. B, 62 (2000) · doi:10.1103/PhysRevB.62.R2263 |
| [39] | Biolatti, E.; Iotti, R. C.; Zanardi, P.; Rossi, F., No article title, Phys. Rev. Lett., 85, 5647 (2000) · doi:10.1103/PhysRevLett.85.5647 |
| [40] | Cirac, J. I.; Zoller, P., No article title, Phys. Rev. Lett., 74, 4091 (1995) · doi:10.1103/PhysRevLett.74.4091 |
| [41] | Fu, G.; etal., No article title, Int. J. Theor. Phys. (2013) · Zbl 1284.81076 · doi:10.1007/s10773-013-1792-z |
| [42] | Wang, Z. S., No article title, Phys. Rev. A, 79 (2009) · doi:10.1103/PhysRevA.79.024304 |
| [43] | Wang, Z. S.; Liu, G. Q.; Ji, Y. H., No article title, Phys. Rev. A, 79 (2009) · doi:10.1103/PhysRevA.79.054301 |
| [44] | Wang, Z. S.; etal., No article title, Phys. Rev. A, 76 (2007) · doi:10.1103/PhysRevA.76.044303 |
| [45] | Yu, T.; Eberly, J. H., No article title, Phys. Rev. Lett., 97 (2006) · doi:10.1103/PhysRevLett.97.140403 |
| [46] | Yu, T.; Eberly, J. H., No article title, Science, 323, 598 (2009) · Zbl 1226.81024 · doi:10.1126/science.1167343 |
| [47] | Das, S.; Agarwal, G. S., No article title, J. Phys. B, 42 (2009) · doi:10.1088/0953-4075/42/20/205502 |
| [48] | Das, S.; Agarwal, G. S., No article title, J. Phys. B, 42 (2009) · doi:10.1088/0953-4075/42/22/229801 |
| [49] | Wang, Z. S.; Liu, Q., No article title, Phys. Lett. A, 377 (2013) · Zbl 1295.81083 · doi:10.1016/j.physleta.2013.10.023 |
| [50] | Fu, G.; etal., No article title, Int. J. Theor. Phys., 52, 3132 (2013) · Zbl 1276.81066 · doi:10.1007/s10773-013-1605-4 |
| [51] | Tong, D. M.; Sjöqvist, E.; Kwek, L. C.; Oh, C. H., No article title, Phys. Rev. Lett., 93 (2004) · doi:10.1103/PhysRevLett.93.080405 |
| [52] | Chaturvedi, S.; Ercolessi, E.; Marmo, G.; Morandi, G.; Mukunda, N.; Simon, R., No article title, Eur. Phys. J. C, 35, 413 (2004) · Zbl 1191.81123 · doi:10.1140/epjc/s2004-01814-5 |
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