Abstract
We explicitly present precise and simple protocols for standard quantum teleportation and controlled quantum teleportation of an arbitrary N-qubit information state and analyse the case of perfect teleportation using general quantum channels and measurement bases. We find condition on resource quantum channel and Bell states for achieving perfect quantum teleportation. We also find the unitary transformation required to be done by Bob for perfect quantum teleportation and discuss the connection with others related works. We also discuss how perfect controlled quantum teleportation demands a correct choice of the measurement basis of additional party.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)
Einstein, A., Podolsky, B., Rosen, N.: Can Quantum-Mechanical Description of Physical Reality Be Considered Complete’?. Phys. Rev. 47, 777–780 (1935)
Bouwmeester, D., Pan, J.W., Mattle, K., Ebil, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nat. Lond 390, 575–579 (1997)
Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknownpure quantum state via dual classical andEinstein–Podolsky–Rosen channels. Phys. Rev. Lett 80, 1121–1125 (1998)
Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A, Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706–709 (1998)
Chen, P.X., Zhu, S.-Y., Guo, G.C.: General form of genuine multipartite entanglement quantum channels for teleportation. Phys. Rev. A 74, 4 (2006). 032324
Jiang, N.-Q., Wang, Y.-J.: Criterion for Genuine Multipartite Entanglement Quantum Channels. Chin. Phys. Lett 27, 4 (2010). 010302
Ming, D.L., Wei, W.-Y., Mei, J.-X., Zhuang, Z.-Y.: A criterion for quantum teleportation of an arbitrary N-particle state via a 2N-particle quantum channel. Chin. Phys. B 19, 9 (2010). 020307
Qin, Z.X., Min, L.Y., Yun, Z.Z., Wen, Z., Jun, Z.Z.: Simpler criterion and flexibility of operation complexity for perfectly teleporting arbitrary n-qubit state with 2n-qubit pure state. Sci. China Phys. Mech. Astron. 53, 2069–2073 (2010)
Prakash, H., Chandra, N., Prakash, R., Dixit, A.: A generalized condition for teleportation of the quantum state of an assembly of n two-level system. MPLB 21, 2019–2023 (2007)
Yang, C.P., Guo, G.C.: Multiparticle Generalization of Teleportation. Chin. Phys. Lett 17, 162 (2000)
Lee, J., Min, H., Oh, S.D.: Multipartite entanglement for entanglement teleportation. Phys. Rev. A 66, 5 (2002). 052318
Rigolin, G.: Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 71, 5 (2005). 032303
Deng, F.G.: Comment on Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 72, 2 (2005). 036301
Yeo, Y., Chua, W.K.: Teleportation and Dense Coding with Genuine Multipartite Entanglement. Phys. Rev. Lett 96, 4 (2006). 060502
Li, Y.-H., Liu, J.-C., Nie, Y.Y.: Quantum Teleportation and Quantum Information Splitting by Using a Genuinely Entangled Six-Qubit State. Int. J. Theor. Phys. 49, 2592–2599 (2010)
Wei, Z. X.: Probabilistic Controlled Teleportation of an Arbitrary Three-Qubit State. Commun. Theor. Phys. 50, 637–639 (2008)
Zha, X.-W., Song, H.-Y.: Non-Bell-pair quantum channel for teleporting an arbitrary two-qubit state. Phys. Lett. A 369, 377–379 (2007)
Zha, X.-W., Ren, K.F.: General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys. Rev. A 77, 4 (2008). 014306
Chen, X.B., Wen, Q.Y., Xu, G., Yang, X.Y., Zhu, F.C.: Comment on General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys. Rev. A 79, 3 (2009). 036301
Zha, X.W., Ren, K.F.: Reply to Comment on ‘General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys. Rev. A 79, 2 (2009). 036302
Yun, Z.Z., Min, L. Y., Qin, Z.X., Wen, Z., Jun, Z.Z.: Transformation Operator and Criterion for Perfectly Teleporting Arbitrary Three-Qubit State with Six-Qubit Channel and Bell-State Measurement. Chin. Phys. Lett 26, 4 (2009). 120303
Yan, F., Wang, D.: Probabilistic and controlled teleportation of unknown quantum states. Phys. Lett. A 316, 297–303 (2003)
Yang, C.P., Chu, S.I., Han, S.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70, 8 (2004). 022329
Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72, 8 (2005). 022338
Man, Z.-X., Xia, Y.-J., An, N.B.: Genuine multiqubit entanglement and controlled teleportation. Phys. Rev. A 75, 5 (2007). 052306
Prakash, H., Maurya, A.K.: Quantum teleportation using entangled 3-qubit states and the magic bases. Optics Commun. 284, 5024–5030 (2011)
Acknowledgments
We are thankful to Prof. Naresh Chandra and Prof. Ranjana Prakash for their interest and critical comments. We are also thankful to Mr. Ajay K. Yadav and Ms. Anshika Sharma for helpful and stimulating discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Verma, V., Prakash, H. Standard Quantum Teleportation and Controlled Quantum Teleportation of an Arbitrary N-Qubit Information State. Int J Theor Phys 55, 2061–2070 (2016). https://doi.org/10.1007/s10773-015-2846-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-015-2846-1