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Quantum chaos in quantum Turing machines

Ilki Kim, Guenter Mahler

quant-pharXiv:quant-ph/9910068

Abstract

We investigate a 2-spin quantum Turing architecture, in which discrete local rotations αm of the Turing head spin alternate with quantum controlled NOT-operations. We demonstrate that a single chaotic parameter input αm leads to a chaotic dynamics in the entire Hilbert-space.

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