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Iterative quantum algorithm for distributed clock synchronization |
| Wang Hong-Fu (王洪福), Zhang Shou (张寿) |
| Department of Physics, College of Science, Yanbian University, Yanji 133002, China |
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Abstract Clock synchronization is a well-studied problem with many practical and scientific applications. We propose an arbitrary accuracy iterative quantum algorithm for distributed clock synchronization using only three qubits. The n bits of the time difference Δ between two spatially separated clocks can be deterministically extracted by communicating only O(n) messages and executing the quantum iteration process n times based on the classical feedback and measurement operations. Finally, we also give the algorithm using only two qubits and discuss the success probability of the algorithm.
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Received: 07 March 2012
Revised: 20 April 2012
Accepted manuscript online:
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PACS:
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03.67.Lx
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(Quantum computation architectures and implementations)
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03.67.-a
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(Quantum information)
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03.67.Hk
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(Quantum communication)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11147174 and 61068001) and the Talent Program of Yanbian University, China (Grant No. 950010001). |
Corresponding Authors:
Wang Hong-Fu, Zhang Shou
E-mail: hfwang@ybu.edu.cn; szhang@ybu.edu.cn
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Cite this article:
Wang Hong-Fu (王洪福), Zhang Shou (张寿) Iterative quantum algorithm for distributed clock synchronization 2012 Chin. Phys. B 21 100309
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| [1] |
Simons B, Welch J L and Lynch N 1988 IBM Research Report No. 6505
|
| [2] |
Lewandowski W, Azoubib J and Klepczynski W J 1999 Proc. IEEE 87 163
|
| [3] |
Einstein A 1905 Ann. D. Phys. (Leipzig) 17 891
|
| [4] |
Eddington A S 1924 The Mathematical Theory of Relativity 2nd edn. (Cambridge: Cambridge University Press)
|
| [5] |
Jozsa R, Abrams D S, Dowling J P and Williams C P 2000 Phys. Rev. Lett. 85 2010
|
| [6] |
Chuang I L 2000 Phys. Rev. Lett. 85 2006
|
| [7] |
Giovannetti V, Lloyd S and Maccone L 2001 Nature (London) 412 417
|
| [8] |
Krčo M and Paul P 2002 Phys. Rev. A 66 024305
|
| [9] |
Giovannetti V, Lloyd S and Maccone L 2002 Phys. Rev. A 65 022309
|
| [10] |
Valencia A, Scarcelli G and Shih Y 2004 Appl. Phys. Lett. 85 2655
|
| [11] |
Giovannetti V, Lloyd S, Maccone L, Shapiro J H and Wong F N C 2004 Phys. Rev. A 70 043808
|
| [12] |
Zhang J F, Long G L, Deng Z W, Liu W Z and Lu Z H 2004 Phys. Rev. A 70 062322
|
| [13] |
de Burgh M and Bartlett S D 2005 Phys. Rev. A 72 042301
|
| [14] |
Ho C, Linares A L and Kurtsiefer C 2009 New. J. Phys. 11 045011
|
| [15] |
Wu Q Q and Kuang L M 2006 Chin. Phys. 15 2593
|
| [16] |
Yurtsever U and Dowling J P 2002 Phys. Rev. A 65 052317
|
| [17] |
Burt E A, Ekstrom C R and Swanson T B quantph/0007030
|
| [18] |
Genovese M and Novero C quant-ph/0009119
|
| [19] |
Dobšíček M, Johansson G, Shumeiko V and Wendin G 2007 Phys. Rev. A 76 030306(R)
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