Chin. Phys. Lett.  2010, Vol. 27 Issue (8): 080303    DOI: 10.1088/0256-307X/27/8/080303
GENERAL |
Error Tolerance in Constructing Cluster States

JIANG Feng-Jian, SHI Ming-Jun, CHONG Bo, DU Jiang-Feng

Department of Modern Physics, University of Science and Technology of China, and Hefei National Laboratory for Physical Sciences at Microscale, Hefei 230026
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JIANG Feng-Jian, SHI Ming-Jun, CHONG Bo et al  2010 Chin. Phys. Lett. 27 080303
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Abstract

We consider the problem often encountered in constructing large cluster states, that is, the δx measurements in the depolarizing noise, and present a regulation to calculate the error propagation and the accumulation. Rohde et al. first pointed out the question A quantitative analysis is given on the disadvantage influence of the probabilistic gate and noisy environment on the construction of two-dimensional (2D) scalable cluster states. Positivity of partial transpose criteria is used to predict whether the final state is distillable or not. A critical value on the error tolerance in constructing cluster states is determined, which could be used as a test-bed for successful construction of scalable 2D cluster states. Furthermore, our quantitative analysis would also be helpful to find optimal approach to suppress the noise accumulation.

Keywords: 03.67.Pp      03.67.Lx     
Received: 04 March 2010      Published: 28 July 2010
PACS:  03.67.Pp (Quantum error correction and other methods for protection against decoherence)  
  03.67.Lx (Quantum computation architectures and implementations)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/8/080303       OR      https://cpl.iphy.ac.cn/Y2010/V27/I8/080303
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JIANG Feng-Jian
SHI Ming-Jun
CHONG Bo
DU Jiang-Feng
[1] Briegel H J and Raussendorf R 2001 Phys. Rev. Lett. 86 910
[2] Raussendorf R and Briegel H J 2001 Phys. Rev. Lett. 86 5188
[3] Yoran N and Reznik B 2003 Phys. Rev. Lett. 91 037903
[4] Nielsen M A 2004 Phys. Rev. Lett. 93 040503
[5] Browne D E and Rudolph T 2005 Phys. Rev. Lett. 95 010501
[6] Diao D S, Zhang Y S, Zhou X F and Guo G C 2008 Chin. Phys. Lett. 25 3555
[7] Knill E, Laflamme R, and Milburn G 2001 Nature 409 46
[8] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J J and Milburn G L 2007 Rev. Mod. Phys. 79 135
[9] Barrett S D and Kok P 2005 Phys. Rev. A 71 060310(R)
[10] Duan L M and Raussendorf R 2005 Phys. Rev. Lett. 95 080503
[11] Chen Q, Cheng J H, Wang K L and Du J F 2006 Phys. Rev. A 73 012303
[12] Yang W X, Zhan Z M and Li J H 2006 Chin. Phys. Lett. 23 120
[13] Yao X W, Xue F, Pang W M, Du J F, Zhou X Y and Han R D 2006 Chin. Phys. Lett. 23 1996
[14] Rohde P P, Ralph T C and Munro W J 2007 Phys. Rev. A 75 010302(R)
[15] Dür W and Briegel H J 2004 Phys. Rev. Lett. 92 180403
[16] Hein M, Dür W and Briegel H J 2005 Phys. Rev. A 71 032350
[17] Peres A 1996 Phys. Rev. Lett. 77 1413
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