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arXiv · 0705.1979

Complex chaos in conditional qubit dynamics and purification protocols

T. Kiss·I. Jex·G. Alber·S. Vymetal
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Abstract

Selection of an ensemble of equally prepared quantum systems, based on measurements on it, is a basic step in quantum state purification. For an ensemble of single qubits, iterative application of selective dynamics has been shown to lead to complex chaos, which is a novel form of quantum chaos with true sensitivity to the initial conditions. The Julia set of initial valuse with no convergence shows a complicated structre on the complex plane. The shape of the Julia set varies with the parameter of the dynamics. We present here results for the two qubit case demonstrating how a purification process can be destroyed with chaotic oscillations.

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T. Kiss, I. Jex, G. Alber, S. Vymetal. 2007-05-14. Complex chaos in conditional qubit dynamics and purification protocols. https://doi.org/10.1556/aph.26.2006.3-4.1

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