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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.
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| Keywords:
03.67.Pp
03.67.Lx
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Received: 04 March 2010
Published: 28 July 2010
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| PACS: |
03.67.Pp
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(Quantum error correction and other methods for protection against decoherence)
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03.67.Lx
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(Quantum computation architectures and implementations)
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