Decoherence in quantum walks and quantum computers

Details Decoherence in quantum walks and quantum computers Decoherence in quantum walks and quantum computers

2007-11-09

arxiv.org/abs/0711.1555v1

Physics

Quantum Physics

8 pages, 3 figures; to appear in Theory Canada 3 special issue if the Canadian Journal of Physics

Scientific paper

10.1139/P08-016

Decoherence is the major stumbling block in the realization of a large-scale quantum computer. Ingenious methods have been devised to overcome decoherence, but their success has been proven only for over-simplified models of system-environment interaction. Whether such methods will be reliable in the face of more realistic models is a fundamental open question. In this partly pedagogical article, we study two toy models of quantum information processing, using the language of \emph{quantum walks}. Decoherence is incorporated in 3 ways - by coupling to a noisy `projective measurement' system, and by coupling to oscillator and spin baths.

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