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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 |
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| Cite this article: |
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JING Hui, GE Mo-Lin 2003 Chin. Phys. Lett. 20 787-789 |
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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.
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03.65.Bz
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Published: 01 June 2003
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