Complex chaos in conditional qubit dynamics and purification protocols
Quantum Physics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.0705.1979,
title = {Complex chaos in conditional qubit dynamics and purification protocols},
author = {T. Kiss and I. Jex and G. Alber and S. Vymetal},
journal= {arXiv preprint arXiv:0705.1979},
year = {2007}
}