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Fractals in Quantum Information Process |
| BI Feng, LI Chuan-Feng** |
Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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BI Feng, LI Chuan-Feng 2013 Chin. Phys. Lett. 30 010306 |
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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.
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Received: 09 October 2012
Published: 04 March 2013
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| PACS: |
03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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05.45.Df
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(Fractals)
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