A general method of selecting quantum channel for bidirectional quantum teleportation. (English) Zbl 1298.81035
Summary: Based on tensor representation and Bell basis measurement in bidirectional quantum teleportation, a criterion that can be used to judge whether a four-qubit quantum state can be regarded as quantum channel or not in bidirectional teleportation is suggested and a theoretical scheme of bidirectional teleportation via four-qubit state as the quantum channel is proposed. In accordance with this criterion we give a general method of selecting quantum channel in bidirectional teleportation, which is determined by the channel parameter matrix \(R\) in the Bell basis measurement. This general method provide a theoretical basis for quantum channel selection in bidirectional quantum teleportation experiments.
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81P15 | Quantum measurement theory, state operations, state preparations |
References:
| [1] | Li, Z. G.; Fei, S. M.; Wang, Z. D.; Liu, W. M., No article title, Phys. Rev. A, 79 (2009) · doi:10.1103/PhysRevA.79.024303 |
| [2] | Hu, X. Y.; Fan, H.; Zhou, D. L.; Liu, W. M., No article title, Phys. Rev. A, 85 (2012) · doi:10.1103/PhysRevA.85.032102 |
| [3] | Bennett, C. H.; Brassard, G.; Crepeau, C.; etal., No article title, Phys. Rev. Lett., 70, 1895-1899 (1993) · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895 |
| [4] | Pan, J. W.; Bouwmeester, D.; Daniell, M.; etal., No article title, Nature, 403, 515-519 (2000) · doi:10.1038/35000514 |
| [5] | Li, W. L.; Li, C. F.; Guo, G. C., No article title, Phys. Rev. A, 61 (2000) · doi:10.1103/PhysRevA.61.034301 |
| [6] | Han, L. F.; Xu, H. F., No article title, Int. J. Theor. Phys., 51, 2540-2545 (2012) · Zbl 1252.81022 · doi:10.1007/s10773-012-1133-7 |
| [7] | Zha, X.; Zhang, W., No article title, Acta Photonica Sin., 38, 979-982 (2009) |
| [8] | Dur, W.; Vidal, G.; Cirac, J. I., No article title, Phys. Rev. A, 62 (2000) · doi:10.1103/PhysRevA.62.062314 |
| [9] | Hu, M. L.; Fan, H., No article title, Phys. Rev. A, 86 (2012) · doi:10.1103/PhysRevA.86.032338 |
| [10] | Hu, M. L., No article title, Ann. Phys. (N.Y.), 327, 2332 (2012) · Zbl 1252.81013 · doi:10.1016/j.aop.2012.05.007 |
| [11] | Hu, M. L., No article title, Phys. Lett. A, 375, 2140 (2011) · doi:10.1016/j.physleta.2011.04.020 |
| [12] | Hu, M. L., No article title, Phys. Lett. A, 375, 922 (2011) · doi:10.1016/j.physleta.2010.12.058 |
| [13] | Bouwmeester, D.; Pan, J. W.; Mattle, K.; etal., No article title, Nature, 390, 575 (1997) · Zbl 1369.81006 · doi:10.1038/37539 |
| [14] | Kim, Y. H.; Kulik, S. P.; Shih, Y., No article title, Phys. Rev. Lett., 86, 1370 (2001) · doi:10.1103/PhysRevLett.86.1370 |
| [15] | Olmschenk, S.; Matsukevich, D. N.; Maunz, P.; etal., No article title, Science, 323, 486 (2009) · doi:10.1126/science.1167209 |
| [16] | Riebe, M.; Haffner, H.; Roos, C. F.; etal., No article title, Nature, 429, 734 (2004) · doi:10.1038/nature02570 |
| [17] | Nielsen, M. A.; Knill, E.; Laflamme, R., No article title, Nature, 396, 52 (1998) · doi:10.1038/23891 |
| [18] | Zha, X. W.; Zou, Z. C.; Qi, J. X.; Song, H. Y., No article title, Int. J. Theor. Phys., 52, 1-5 (2012) |
| [19] | Sun, X. M.; Zha, X. W., No article title, Acta Photonica Sin., 42, 1052-1056 (2013) · doi:10.3788/gzxb20134209.1052 |
| [20] | Li, Y. H.; Nie, L. P., No article title, Int. J. Theor. Phys., 52, 1630 (2013) · doi:10.1007/s10773-013-1484-8 |
| [21] | Shukla, C.; Banerjee, A.; Pathak, A., No article title, Int. J. Theor. Phys., 52, 3790-3796 (2013) · doi:10.1007/s10773-013-1684-2 |
| [22] | Tian, X. L.; Hu, M. L.; Xi, X. Q., No article title, Int. J. Theor. Phys., 48, 2610-2617 (2009) · Zbl 1176.81019 · doi:10.1007/s10773-009-0048-4 |
| [23] | Tian, X. L.; etal., No article title, Opt. Commun., 282, 4815-4818 (2009) · doi:10.1016/j.optcom.2009.09.001 |
| [24] | Shao, J. J.; Tian, X. L.; Shi, G. F., No article title, Int. J. Quantum Inf., 10 (2012) · Zbl 1238.81060 · doi:10.1142/S021974991250013X |
| [25] | Yeo, Y.; Chua, W. K., No article title, Phys. Rev. Lett., 96 (2006) · doi:10.1103/PhysRevLett.96.060502 |
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