Fractals in Quantum Information Process  

作　　者：BI Feng LI Chuan-Feng 毕峰;李传锋(Key Laboratory of Quantum Information,University of Science and Technology of China,Hefei 230026)

机构地区：[1]Key Laboratory of Quantum Information,University of Science and Technology of China,Hefei 230026

出　　处：《Chinese Physics Letters》2013年第1期24-28,共5页中国物理快报（英文版）

基　　金：Supported by the National Basic Research Program(2011CB921200);the National Natural Science Foundation of China under Grant Nos 60921091 and 11274289;the Fund for Fostering Talents in Basic Science of the National Natural Science Foundation of China(No J1103207).

摘　　要：In the recent work of Kiss et al.[Phys.Rev.Lett.107(2011)100501],the evolvement of two-qubit quantum states in a measurement-based purification process is studied.As they pointed out,the purification results manifest sensitivity to the applied initial states.The convergence regions to different stable circles are depicted on a complex plane.Because of the result patterns'likeness to typical fractals,we make further study on the interesting patterns'connection to fractals.Finally,through a numerical method we conclude that the boundaries of different islands of the patterns are fractals,which possess a non-integral fractal dimension.Also,we show that the fractal dimension would vary with the change of the portion of the noise added to the initial states.

关 键 词：dimension. FRACTAL evolve 

分 类 号：O41[理学—理论物理]