Chinese Physics Letters

Fractals in Quantum Information Process

Feng Bi, Chuan‐Feng Li

Published Jan 1, 2013• 3 citations

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.

DOI: 10.1088/0256-307x/30/1/010306

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