Effect of Noise on Berry’s Phase for Quantum Computing
JING Hui1,2, GE Mo-Lin1
1Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071
2Laboratory for Quantum Optics, Shanghai Institute of Fine Machines and Optics, Chinese Academy of Sciences, Shanghai 201800
Effect of Noise on Berry’s Phase for Quantum Computing
JING Hui1,2;GE Mo-Lin1
1Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071
2Laboratory for Quantum Optics, Shanghai Institute of Fine Machines and Optics, Chinese Academy of Sciences, Shanghai 201800
Abstract： Based on a new type of two-level-system reservoir, we investigate the impact of dissipation on Berry’s phase of a spin trapped in a periodical external field. It is found that the existence of environmental noise could lead to a decaying term in the matrix of Berry’s phase as the sign of a decoherence process, which is in agreement with the result of Nazir et al. (Phys. Rev. A 65 (2002) 042303). Particularly, in comparison with a specialized case of the traditional Leggett dissipation model, we only shows the dependence of time but not temperature in decaying term. A concrete case is exhibited by using the one-dimensional Ohmic function.
JING Hui;GE Mo-Lin. Effect of Noise on Berry’s Phase for Quantum Computing[J]. 中国物理快报, 2003, 20(6): 787-789.
JING Hui, GE Mo-Lin. Effect of Noise on Berry’s Phase for Quantum Computing. Chin. Phys. Lett., 2003, 20(6): 787-789.
2003, Vol. 20 
