1. Fractals in Quantum Information Process.
- Author
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Feng, BI and Chuan-Feng, LI
- Subjects
- *
FRACTALS , *QUANTUM information theory , *QUANTUM theory , *NUMERICAL analysis , *STOCHASTIC convergence , *SENSITIVITY analysis - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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