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Quantum Information Processing
Published in: Quantum Information Processing 7/2013

01-07-2013

Deterministic single-qubit operation sharing with five-qubit cluster state

Authors: Shengfang Wang, Yimin Liu, Jianlan Chen, Xiansong Liu, Zhanjun Zhang

Published in: Quantum Information Processing | Issue 7/2013

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Abstract

Perfect sharing of arbitrary single-qubit operation (PSASQO) with shared entanglements and LOCC is focused. A symmetric three-party PSASQO scheme is put forward by utilizing the five-qubit cluster state proposed by Briegel and Raussendorf (Phys Rev Lett 86:910, 2001). Some concrete discussions on the scheme are made, including its important features, the essential role of the quantum channel, its direct generalization to more-party cases, the problem of entanglement structure and its application perspective in some peculiar quantum scenario as well as its security analysis. Particularly, the experimental feasibilities of the scheme and its generalizations are demonstrated, i.e., showing the employed unitary operations are local and accessible single-qubit Pauli and two-qubit control NOT operations according to nowaday experimental techniques.
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Literature
1.
Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)ADSMATHCrossRef
2.
Bohr, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 48, 696 (1935)ADSMATHCrossRef
3.
4.
5.
Bennett, C.H., et al.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 68, 557 (1992)MathSciNetADSMATHCrossRef
6.
Cheung, C.Y., Zhang, Z.J.: Criterion for faithful teleportation with an arbitrary multiparticle channel. Phys. Rev. A 80, 022327 (2009)ADSCrossRef
7.
8.
Zhang, Z.J., Man, Z.X.: Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys. Rev. A 72, 022303 (2005)MathSciNetADSCrossRef
9.
10.
Yan, F.L., Gao, T.: Quantum secret sharing between multiparty and multiparty without entanglement. Phys. Rev. A 72, 012304 (2005)ADSCrossRef
11.
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68, 042317 (2003)ADSCrossRef
12.
13.
Pellizzari, T., Gardiner, S.A., Cirac, J.I., Zoller, P.: Decoherence, continuous observation, and quantum computing: a cavity QED model. Phys. Rev. Lett. 75, 3788 (1995)ADSCrossRef
14.
Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)ADSCrossRef
15.
Paul, N., Menon, J.V., Karumanchi, S., Muralidharan, S., Panigrahi, P.K.: Quantum tasks using six qubit cluster states. Quantum Inf. Process. 10, 619 (2011)MathSciNetMATHCrossRef
16.
Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of quantum information using N-qubit linear cluster states. Opt. Commun. 284, 1082 (2011)ADSCrossRef
17.
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162 (1999)ADSCrossRef
18.
Bandyopadhyay, S.: Teleportation and secret sharing with pure entangled states. Phys. Rev. A 62, 012308 (2000)ADSCrossRef
19.
Bagherinezhad, S., Karimipour, V.: Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers. Phys. Rev. A 67, 044302 (2003)ADSCrossRef
20.
Huelga, S.F., Vaccaro, J.A., Chefles, A.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)ADSCrossRef
21.
Zou, X.B., Pahlke, K., Mathis, W.: Teleportation implementation of nondeterministic quantum logic operations by using linear optical elements. Phys. Rev. A 65, 064305 (2002)ADSCrossRef
22.
Dur, W., Vidal, G., Cirac, J.I.: Optimal conversion of nonlocal unitary operations. Phys. Rev. Lett. 89, 057901 (2002)ADSCrossRef
23.
Zhang, Y.S., Ye, M.Y., Guo, G.C.: Conditions for optimal construction of two-qubit nonlocal gates. Phys. Rev. A 71, 062331 (2005)ADSCrossRef
24.
Wang, A.M.: Remote implementations of partially unknown quantum operations of multiqubits. Phys. Rev. A 74, 032317 (2007)ADSCrossRef
25.
Wang, A.M.: Combined and controlled remote implementations of partially unknown quantum operations of multiqubits using Greenberger-Horne-Zeilinger states. Phys. Rev. A 75, 062323 (2007)MathSciNetADSCrossRef
26.
Zhao, N.B., Wang, A.M.: Hybrid protocol of remote implementations of quantum operations. Phys. Rev. A 76, 062317 (2007)ADSCrossRef
27.
Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B 44, 165508 (2011)ADSCrossRef
28.
Ye, B.L., Liu, Y.M., Liu, X.S., Zhang, Z.J.: Remotely sharing single-qubit operation with five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)ADSCrossRef
29.
30.
Liu, D.C., Liu, Y.M., Liu, X.S., Zhang, Z.J.: Shared quantum control via sharing operation on remote single qutrit. Quantum, information processing (to be submitted)
31.
Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910 (2001)ADSCrossRef
32.
Gross, D., Kieling, K., Eisert, J.: Potential and limits to cluster-state quantum computing using probabilistic gates. Phys. Rev. A 74, 042343 (2006)ADSCrossRef
33.
Bouwmeester, D., Pan, J.W., Mattle, K., et al.: Experimental quantum teleportation. Nature 390, 575 (1997)ADSCrossRef
34.
Boschi, D., Branca, S., Martini, F.D., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 80, 1121 (1998)MathSciNetADSMATHCrossRef
35.
Riebe, M., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)ADSCrossRef
36.
Barrett, M.D., et al.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737 (2004)ADSCrossRef
37.
Zuo, X.Q., Liu, Y.M., Xu, C.J., Zhang, Z.J.: Generalized tripartite scheme for sharing arbitrary 2\(n\)-qudit state. Opt. Commun. 283, 4108 (2010)ADSCrossRef
38.
Zheng, S.B.: Scheme for approximate conditional teleportation of an unknown atomic state without the Bell-state measurement. Phys. Rev. A 69, 064302 (2004)ADSCrossRef
Metadata
Title
Deterministic single-qubit operation sharing with five-qubit cluster state
Authors
Shengfang Wang
Yimin Liu
Jianlan Chen
Xiansong Liu
Zhanjun Zhang
Publication date
01-07-2013
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2013
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0537-5

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