Abstract
In this paper, we propose a scheme for joint remotely preparing an arbitrary seven-qubit cluster-type state by using several GHZ entangled states as the quantum channel. The coefficients of the prepared states can be not only real, but also complex. Firstly, Alice performs a three-qubit projective measurement according to the amplitude coefficients of the target state, and then Bob carries out another three-qubit projective measurement based on its phase coefficients. Next, one three-qubit state containing all information of the target state is prepared with suitable operation. Finally, the target seven-qubit cluster-type state can be prepared by introducing four auxiliary qubits and performing appropriate local unitary operations based on the prepared three-qubit state in a deterministic way. The receiver’s all recovery operations are summarized into a concise formula. Furthermore, it’s worth noting that our scheme is more novel and feasible with the present technologies than most other previous schemes.
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Bennett, C. H., Wiesner, S. J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881–2884 (1992)
Shao, Q.: Quantum teleportation of the two-qubit entangled state by use of four-qubit entangled state. Int. J. Theor. Phys. 52, 2573 (2013)
Bennett, C. H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wooters, W. K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Bouwmeester, D., Pan, J. W., Mattle, K., et al.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Cai, X., Yu, X., Shi, L., et al.: Partially entangled states bridge in quantum teleportation. Front. Phys. 9, 646 (2014)
Li, C., Li, X., Deng, F., et al.: Complete multiple round quantum dense coding with quantum logical network. CHINESE SCI. BULL. 52, 1162 (2007)
Ban, M.: Quantum teleportation and quantum dense coding in a finite-dimensional Hilbert space. Int. J. Theor. Phys. 42, 1 (2003)
Wang, X., Qiu, L., Li, S., et al.: Relating quantum discord with the quantum dense coding capacity. J. Exp. Theor. Phys. 120, 9 (2015)
Zbinden, H., Bechmann-Pasquinucci, H., Gisin, N., et al.: Quantum cryptography. Appl. Phys. B 67, 743 (1998)
Molotkov, S. N.: The efficiency of repeaters based on the Einstein-Podolsky-Rosen effect for quantum cryptography in a damping channel. Jetp. Lett. 75, 210 (2002)
Kak, S.: A three-stage quantum cryptography protocol. Found Phys. Lett. 19, 293 (2006)
Lo, H. K.: Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)
Pati, A. K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2001)
Bennett, C. H., Divincenzo, D. P., Shor, P. W., Smolin, J. A., Terhal, B. M., Wootters, W. K.: Remote state preparation. Phys. Rev. Lett. 87(7), 077902 (2001)
Chen, X. B., Ma, S. Y., Su, Y., Zhang, R., Yang, Y. X.: Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Quantum Inf. Process. 11, 1653–1667 (2012)
Chen, Q. Q., Xia, Y., An, N. B.: Probabilistic joint remote preparation of a two-particle high-dimensional equatorial state. Opt. Commun. 284, 2617 (2011)
Wang, Z. Y.: Highly efficient remote preparation of an arbitrary three-qubit state via a four-qubit cluster state and an EPR state. Quantum Inf. Process. 12(2), 1321–1334 (2013)
Jiang, M., Dong, D.Y.: A recursive two-phase general protocol on deterministic remote preparation of a class of multi-qubit states. J. Phys. B At. Mol. Opt. Phys. 45, 205506 (2012)
Zhan, Y. B.: Deterministic remote preparation of arbitrary two-and three-qubit states. EPL-Europhys. Lett. 98(4), 40005 (2012)
Xia, Y., Song, J., Song, H. S.: Multiparty remote state preparation. Phys. B-At. Mol. Opt. J. 40(18), 3719–3724 (2007)
An, N. B., Kim, J.: Collective remote state preparation. Quantum Inf. Process. 6(5), 1051–1066 (2008)
Jiang, M., Dong, D. Y.: A recursive two-phase general protocol on deterministic remote preparation of a class of multi-qubit states. J. Phys. B: At. Mol. Opt. Phys. 45, 205506 (7pp) (2012)
Peng, J. Y., Luo, M. X., Mo, Z. W.: Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Quantum Inf. Process. 12, 2325 (2013)
Raussendorf, R., Briegel, H. J.: A one way quantum computer. Phys. Rev. Lett. 86, 5188–5191 (2001)
Li, D., Cao, C., Zhuo, L.: Teleportation of two-particle entangled state via cluster state. J. Commun. Theor. Phys. 47, 464–466 (2007)
Paul, N., Menon, J. V., Karumanchi, S., et al.: Quantum tasks using six qubit cluster states. Quantum Inf. Process. 10, 619 (2011)
Gerasimov, M. V., Dikova, Y. P., Yakovleva, O. I.: New experimental evidence on cluster-type vaporization of feldspars. Petrology 24, 49 (2016)
Hou, K., Li, Y. B., Liu, G. H., Sheng, S. Q.: Joint remote preparation of an arbitrary two-qubit state via GHZ-type states. J. Phys. A: Math. Theor. 44, 255304 (2011)
Xu, H., Zhang, M., Guo, H., et al.: Tripartite probabilistic and controlled teleportation of an arbitrary single-qubit state via one-dimensional four-qubit cluster-type state. Int. J. Theor. Phys. 49, 2089 (2010)
Li, W., Zha, X., Qi, J.: Tripartite quantum controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 3927 (2016)
Yi, X. J., Wang, J. M., Huang, G. Q.: Controlled dense coding with six-qubit cluster state. Int. J. Theor. Phys. 50, 364 (2011)
Liao, Y., Zhou, P., Qin, X., et al.: Efficient joint remote preparation of an arbitrary two-qubit state via cluster and cluster-type states. Quantum Inf. Process. 13, 615 (2014)
Zhan, Y. B., Hu, B. L., Ma, P. C.: Joint remote preparation of four-qubit cluster-type states. J. Phys. B 44, 095501 (2011)
An, N. B., Bich, C. T., Van, D. N.: Joint remote preparation of four-qubit cluster-type states revisited. J. Phys. B-At. Mol. Opt. 44(13), 135506 (2011)
Hou, K.: Joint remote preparation of four-qubit cluster-type states with multiparty. Quantum Inf. Process. 12(12), 3821–3833 (2013)
Yang, Y. Q., Zha, X. W., Yu, Y.: Asymmetric bidirectional controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. (2016). doi:10.1007/s10773-016-3044-5
Chen, Y.: Quantum information splitting of an arbitrary three-qubit state using a seven-qubit entangled state. Int. J. Theor. Phys. 53, 524 (2014)
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This work is supported by the National Natural Science Foundation of China (No. 61473199 and No. 61104002).
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Ding, M., Jiang, M. Deterministic Joint Remote Preparation of an Arbitrary Sevenqubit Cluster-type State. Int J Theor Phys 56, 1875–1882 (2017). https://doi.org/10.1007/s10773-017-3332-8
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DOI: https://doi.org/10.1007/s10773-017-3332-8