Abstract
We present a scheme for probabilistic transformation of special quantum states assisted by auxiliary qubits. In our scheme, if quantum states can be rewritten in a particular form, it is possible to transform such states into other states using lower-dimensional unitary operations that can be more easily realized in physical experiments. Furthermore, as an important application, we propose a generalized scheme that helps construct faithful quantum channels via various probabilistic channels when considering the existence of nonmaximally-entangled states.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge, UK: Cambridge University Press, 2000
Bennett C H, Brassard G, Crépeau C, et al. Teleporting an unknown quantum state via dual classic and Einstein-Podolsky-Rosen channels. Phys Rev Lett, 1993, 70: 1895–1899
Cirac J I, Zoller P, Kimble H J, et al. Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys Rev Lett, 1997, 78: 3221–3224
Lloyd S. Coherent quantum feedback. Phys Rev A, 2000, 62: 022108
Dong D Y, Zhang C B, Chen Z H. Information-technology approach to quantum feedback control. Int J Mod Phys B, 2006, 20: 1304–1316
Wu R B, Chakrabarti R, Rabitz H. Optimal control theory for continuous-variable quantum gates. Phys Rev A, 2008, 77: 052303
Zhang J, Liu Y X, Wu R B, et al. Transition from weak to strong measurements by nonlinear quantum feedback control. Phys Rev A, 2010, 82: 022101
Dong D, Petersen I R. Sliding mode control of quantum systems. New J Phys, 2009, 11: 105033
Wu R B, Hsieh M A, Rabitz H. Role of controllability in optimizing quantum dynamics. Phys Rev A, 2011, 83: 062306
Zhang J, Wu R B, Li C W, et al. Protecting coherence and entanglement by quantum feedback controls. IEEE Trans Automatic Control, 2010, 55: 619–633
Dong D, Chen C, Li H, et al. Quantum reinforcement learning. IEEE Trans Syst Man Cybernetics B, 2008, 38: 1207–1220
Gao W B, Goebel A M, Lu C Y, et al. Teleportation-based realization of an optical quantum two-qubit entangling gate. Proc Natl Acad Sci USA, 2010, 107: 20869–20874
Gottesman D, Chuang I L. Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature, 1999, 402: 390–393
Kimble H J. The quantum internet. Nature, 2008, 453: 1023–1030
Bouwmeester D, Pan J W, Mattle K, et al. Experimental quantum teleportation. Nature, 1997, 390: 575–579
Chen W X, Tian X L, Hu M L. Network controlled teleportation of N-qubit state. J Mod Opt, 2010, 57: 1619–1623
Salemian S, Mohammadnejad S. An error-free protocol for quantum entanglement distribution in long-distance quantum communication. Chin Sci Bull, 2011, 56: 618–625
Yan T, Yan F L. Quantum key distribution using four-level particles. Chin Sci Bull, 2011, 56: 24–28
Zhang J F, Long G L, Deng Z W, et al. Nuclear magnetic resonance implementation of a quantum clock synchronization algorithm. Phys Rev A, 2004, 70: 062322
Zhang J F, Long G L, Zhang W, et al. Simulation of Heisenberg XY-interactions and realization of a perfect state transfer in spin chains using liquid nuclear magnetic resonance. Phys Rev A, 2005, 72: 012331
Zhang Y, Cao W C, Long G L. Creation of multipartite entanglement and entanglement transfer via Heisenberg interaction. Chin Phys Lett, 2005, 22: 2143–2146
Wang W Y, Wang C, Zhang G Y, et al. Arbitrarily long distance quantum communication using inspection and power insertion. Chin Sci Bull, 2009, 54: 158–162
Long G L, Deng F G, Wang C, et al. Quantum secure direct communication and deterministic secure quantum communication. Front Phys China, 2007, 2: 251–272
Huang Y C, Liu M, Suo M. N-particle general W state and probabilistic teleportation. Int J Mod Phys B, 2007, 21: 4387
Humble T S, Bennink R S, Grice W P. Simultaneous teleportation of multiple single-photon degrees of freedom. J Mod Opt, 2011, 58: 288–298
Deng F G, Li X H, Li C Y, et al. Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys Rev A, 2005, 72: 044301
Deng F G, Li X H, Li C Y, et al. Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur Phys J D, 2006, 39: 459–464
Wang Y H, Song H S. Preparation of multi-atom specially entangled W-class state and splitting quantum information. Chin Sci Bull, 2008, 54: 158–162
Gao T, Yan F L, Wang Z X. Quantum logic networks for probabilistic teleportation of many particle state of general form. Quant Inform Comput, 2004, 4: 186–195
Yan F L, Ding H W. Probabilistic teleportation of an unknown two-particle state with a four-particle pure entangled state and positive operator valued measure. Chin Phys Lett, 2006, 23: 17
Liu D M, Wang Y W, Jiang X M, et al. A criterion for quantum teleportation of an arbitrary N-particle state via a 2N-particle quantum channel. Chin Phys B, 2010, 19: 020307
Jiang M, Li H, Zhang Z K, et al. Faithful teleportation of multiparticle states involving multi spatially remote agents via probabilistic channels. Physica A, 2011, 390: 760–768
Jiang M, Li H, Zhang Z K, et, al. Faithful teleportation via multi-particle quantum states in a network with many agents. Quant Inform Proc, 2012, 11: 23–40
Yan F L, Wang D. Probabilistic and controlled teleportation of unknown quantum states. Phys Lett A, 2003, 316: 297–303
Yang C P, Chu S I, Han S. Efficient many-party controlled teleportation of multi-qubit quantum information via entanglement. Phys Rev A, 2004, 70: 022329
Zhang L H, Yang M, Cao Z L. Entanglement concentration for unknown W class states. Physica A, 2007, 374: 611–616
Li L Z, Qiu D W. The states of W-class as shared resources for perfect teleportation and superdense coding. J Phys A: Math Theor, 2007, 40: 10871
Jiang W X, Fang J Z, Zhu S Q, et al. Probabilistic controlled teleportation of a triplet W state. Chin Phys Lett, 2007, 24: 1144–1146
Yan F L, Yan T. Probabilistic teleportation via a non-maximally entangled GHZ state. Chin Sci Bull, 2010, 55: 902–906
Dong L, Xiu X M, Gao Y J, et al. Controlled three-party communication using GHZ-like state and imperfect Bell-state measurement. Opt Commun, 2011, 284: 905–908
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is published with open access at Springerlink.com
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Jiang, M., Huang, X., Zhou, L. et al. Quantum state transformation and general design scheme on teleportation protocols. Chin. Sci. Bull. 57, 2247–2251 (2012). https://doi.org/10.1007/s11434-012-5163-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11434-012-5163-6