Abstract
The main superiority of the quantum remote preparation over quantum teleportation lies the classical resource saving. This situation may be changed from the following constructions. Our purpose in this paper is to find some special differences between these two quantum tasks besides the classical resource costs. Some novel schemes show that the first one is useful to simultaneously broadcast arbitrary quantum states, while the second one cannot because of the quantum no-cloning theorem. Moreover, these broadcast schemes may be adapted to satisfying the different receivers’ requirements or distributing the classical information, which are important in various quantum applications such as the quantum secret distribution or the quantum network communication.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bennett C.H., Brassard G., Crépeau 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)
Cirac J.I., Zoller P., Kimble H.J., Mabuchi H.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221–3224 (1997)
Lo H.K.: Continuous-variable teleportation of single-photon states. Phys. Rev. A 65, 012313 (2000)
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)
Braunstein S.L., Kimble H.J.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869–872 (1998)
van Loock P., Braunstein S.L.: Multipartite entanglement for continuous variables: a quantum teleportation network. Phys. Rev. Lett. 84, 3482–3485 (2000)
Luo M.X., Chen X.B., Ma S.Y., Yang Y.X., Hu Z.M.: Deterministic remote preparation of an arbitrary W-class state with multiparty. J. Phys. B: At. Mol. Opt. Phys. 43, 065501 (2010)
Berry D.W., Sanders B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 027901 (2003)
Luo, M.X., Deng, Y., Chen, X.B., Yang, Y.X.: The faithful remote preparation of general quantum states. In: Quantum infor. Proceedings. (2012). doi:10.1007/s11128-012-0374-y
Leung D.W., Shor P.W.: Oblivious remote state preparation. Phys. Rev. Lett. 90, 127905 (2003)
Ye M.Y., Zhang Y.S., Guo G.C.: Faithful remote state preparation using finite classical bits and a nonmaximally entangled state. Phys. Rev. A 69, 022310 (2004)
Paris M.G.A., Cola M., Bonifacio R.: Remote state preparation and teleportation in phase space. J. Opt. B: Quantum Semiclass. Opt. 5, 360 (2003)
Bouwmeester D., Pan J.-W., Mattle K., Eibl M., Weinfurter H., Zeilinger A.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Furusawa A., Sorensen J.L., Braunstein S.L., Fuchs C.A., Kimble H.J., Polzik E.S.: Unconditional quantum teleportation. Science 282(5389), 706–709 (1998)
Riebe, M., Haffner, H., Roos, C.F., Hansel, W., Benhelm, J., Lancaster, G.P.T., Korber, T. W., Becher, C., Schmidt-Kaler, F., James, D.F.V., Blatt, R.: Deterministic quantum teleportation with atoms. Nature 429, 734–73 (2004)
Peng X., Zhu X., Fang X., Feng M., Liu M., Gao K.: Experimental implementation of remote state preparation by nuclear magnetic resonance. Phys. Lett. A 306, 271–276 (2003)
Xiang G.Y., Li J., Bo Y., Guo G.C.: Remote preparation of mixed states via noisy entanglement. Phys. Rev. A 72, 012315 (2005)
Zeng B., Zhang P.: Remote-state preparation in higher dimension and the parallelizable manifold S n-1. Phys. Rev. A 65, 022316 (2002)
Shende V., Bullock S., Markov I.: Synthesis of quantum-logic circuits. IEEE Trans. Computer-Aided Design 25, 1000–1010 (2006)
Plesch M., Brukner Č.: Quantum-state preparation with universal gate decompositions. Phys. Rev. A 83, 032302 (2011)
Luo, M.X.: Some quantum states prepared with polynomial quantum circuits, International J. Theor. Phys. (2012). doi:10.1007/s10773-012-1257-9
Cartan : Sur certaines formes riemanniennes remarquables des geometriesa groupe fondamental simple. Ann. Sci. Ec. Normale Super. 44, 345 (1927)
Khaneja N., Glaser S.: Cartan decomposition of SU (2n) and control of spin systems. Chem. Phys. 267, 11–23 (2001)
Luo M.X., Chen X.B., Yang Y.X., Niu X.X.: Experiment architecture of joint remote state preparation. Quantum Infor. Proc. 11, 751–767 (2012)
Yuen H.P.: Amplification of quantum states and noiseless photon amplifiers. Phys. Lett. A 113, 405–407 (1986)
Barnum H., Caves C.M., Fuchs C.A., Jozsa R., Schumacher B.: Noncommuting mixed states cannot be broadcast. Phys. Rev. Lett. 76, 2818–2821 (1996)
Pati A.K.: Quantum superposition of multiple clones and the novel cloning machine. Phys. Rev. Lett. 83, 2849–2852 (1999)
Barnum H., Barrett J., Leifer M., Wilce A.: Generalized no-broadcasting theorem. Phys. Rev. Lett. 99, 240501 (2007)
Piani M., Horodecki P., Horodecki R.: No-local-broadcasting theorem for multipartite quantum correlations. Phys. Rev. Lett. 100, 090502 (2008)
Luo S., Sun W.: Decomposition of bipartite states with applications to quantum no-broadcasting theorems. Phys. Rev. A 82, 012338 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Luo, MX., Deng, Y., Chen, XB. et al. Faithful quantum broadcast beyond the no-go theorem. Quantum Inf Process 12, 1969–1979 (2013). https://doi.org/10.1007/s11128-012-0486-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-012-0486-4