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Chin. Phys. B, 2009, Vol. 18(2): 430-434    DOI: 10.1088/1674-1056/18/2/009
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Decoherence of qubits: results beyond Markovian approximation

Li Tie-Fu(李铁夫)a)†, You Jian-Qiang(游建强)b), Liu Jian-She(刘建设)a), and Li Zhi-Jian(李志坚)a)
a Institute of Microelectronics, Tsinghua University, Beijing 100084, China; b Department of Physics, Fudan University, Shanghai 200433, China
Abstract  In this paper the master equation method is used to calculate the relaxation and decoherence times of a qubit. The results are beyond Markovian approximation, where the noise spectrum is assumed to be wide-band, so that they are valid for not only the wide- but also the narrow-band noises, which may be the main decoherence source in solid-state qubits. Moreover, for some special cases, analytical results can be achieved, which are consistent with those derived by others.
Keywords:  qubit      decoherence      master equation  
Received:  17 April 2008      Revised:  26 May 2008      Accepted manuscript online: 
PACS:  03.67.Lx (Quantum computation architectures and implementations)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  02.50.Ga (Markov processes)  
  02.30.-f (Function theory, analysis)  
Fund: Project supported by the SRFDP, the PCSIRT, the NFRPC (Grant No 2006CB921205), the National Natural Science Foundation of China (Grant Nos 10534060 and 10625416) and the State Key Program for Basic Research of China (Grant Nos 2006CB921801 and 2006CB92110

Cite this article: 

Li Tie-Fu(李铁夫), You Jian-Qiang(游建强), Liu Jian-She(刘建设), and Li Zhi-Jian(李志坚) Decoherence of qubits: results beyond Markovian approximation 2009 Chin. Phys. B 18 430

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