Abstract
We propose two novel schemes for probabilistic remote preparation of an arbitrary quantum state with the aid of the introduction of auxiliary particles and appropriate local unitary operations. The first new proposal could be used to improve the total successful probability of the remote preparation of a general quantum state, and the successful probability is twice as much as the one of the preceding schemes. Meanwhile, one can make use of the second proposal to realize the remote state preparation when the information of the partially entangled state is only available for the sender. This is in contrast to the fact that the receiver must know the non-maximally entangled state in previous typical schemes. Hence, our second proposal could enlarge the applied range of probabilistic remote state preparation. Additionally, we will illustrate how to combine these novel proposals in detail, and our results show that the union has the advantages of both schemes. Of course, our protocols are implemented at the cost of the increased complexity of the practical realizations.
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Bennett, C.H., Brassard, G., Grepeau, 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 (1993)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfuter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)
Boschi, D., Branca, S., Martini, F.D., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 80, 1121 (1998)
Werner, R.F.: All teleportation and dense coding schemes. J. Phys. A Math. Gen. 34, 7081 (2001)
Dai, H.Y., Chen, P.X., Li, C.Z.: Probabilistic teleportation of an arbitrary three-particle state via a partial entangled four-particle state and a partial entangled pair. Chin. Phys. 12, 1354 (2003)
Dai, H.Y., Chen, P.X., Li, C.Z.: Probabilistic teleportation of an arbitrary two-particle state by two partial three-particle entangled W states. J. Opt. B 6, 106 (2004)
Xiao, X.Q., Liu, J.M.: Remote preparation of a two-particle entangled state by a bipartite entangled state and a tripartite entangled W state. Commun. Theor. Phys. 47, 247 (2007)
Dai, H.Y., Zhang, M., Li, C.Z.: Teleportation of three-level multi-partite entangled state by a partial three-level bipartite entangled state. Commun. Theor. Phys. 49, 891 (2008)
Jiang, M., Huang, X., Zhou, L.L., Zhou, Y.M., Zeng, J.: An efficient scheme for multi-party quantum state sharing via non-maximally entangled states. Chin. Sci. Bull. 54, 1089 (2012)
Jiang, M., Dong, D.Y.: Multi-party quantum state sharing via various probabilistic channels. Quantum Inf. Process. 12, 237 (2013)
Al-Amri, M., Evers, J., Ikram, M., Zubairy, M.S.: Quantum teleportation of high-dimensional atomic ensemble states. J. Phys. B At. Mol. Opt. Phys. 45, 095502 (2012)
Fu, C.H., Hu, Z.N.: Quantum teleportation via completely anisotropic Heisenberg chain in inhomogeneous magnetic field. Commun. Theor. Phys. 59, 398 (2013)
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, 077902 (2001)
Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Classical communication cost and remote preparation of the four-particle GHZ class state. Phys. Lett. A 355, 285 (2006)
Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)
Yu, C.S., Song, H.S., Wang, Y.H.: Remote preparation of a qudit using maximally entangled states of qubits. Phys. Rev. A 73, 022340 (2006)
Nguyen, B.A., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41, 095501 (2008)
Killoran, N., Biggerstaff, D.N., Kaltenbaek, R., Resch, K.J., Lütkenhaus, N.: Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states. Phys. Rev. A 81, 012334 (2010)
Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Remote preparation of single-photon hybrid entangled and vector-polarization states. Phys. Rev. Lett. 105, 030407 (2010)
Zhang, Z.J., Cheung, C.Y.: Minimal classical communication and measurement complexity for quantum information splitting. J. Phys. B At. Mol. Opt. Phys. 45, 205506 (2011)
Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B At. Mol. Opt. Phys. 44, 165508 (2012)
Wang, Z.Y.: Classical communication cost and probabilistic remote two-qubit state preparation via POVM and W-type states. Quantum Inf. Process. 11, 1585 (2012)
Zhan, Y.B., Ma, P.C.: Deterministic joint remote preparation of arbitrary two- and three-qubit entangled states. Quantum Inf. Process. 12, 997 (2013)
Dai, H.Y., Zhang, M., Kuang, L.M.: Classical communication cost and remote preparation of multi-qubit with three-party. Commun. Theor. Phys. 50, 73 (2008)
Xiang, G.Y., Zhang, Y.S., Li, J., Guo, G.C.: Scheme for preparation of the W-state by using linear optical elements. J. Opt. B 5(3), 208–210 (2003)
Xia, Y., Song, J., Song, H.S.: Linear optical protocol for preparation of n-photon Greenberger–Horne–Zeilinger state with conventional photon detectors. Appl. Phys. Lett. 92, 021127 (2008)
Xiang, G.Y., Li, J., Bo, Y., Guo, G.C.: Remote preparation of mixed states via noisy entanglement. Phys. Rev. A 72, 012315 (2005)
Peters, N.A., Barreiro, J.T., Goggin, M.E., Wei, T.C., Kwiat, P.G.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Gasparoni, S., Pan, J.W., Bouwmeester, D., Walther, P., Rudolph, T., Zeilinger, A.: Realization of a photonic controlled-NOT gate sufficient for quantum computation. Phys. Rev. Lett. 93, 020504 (2004)
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This work is supported by the Program for National Natural Science Foundation of China (Grant Nos. 61134008, 11074307 and 61273202).
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Wei, J., Dai, HY. & Zhang, M. Two efficient schemes for probabilistic remote state preparation and the combination of both schemes. Quantum Inf Process 13, 2115–2125 (2014). https://doi.org/10.1007/s11128-014-0799-6
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DOI: https://doi.org/10.1007/s11128-014-0799-6