Quantum network architecture of tight-binding models with substitution sequences
Ilki Kim, Guenter Mahler
Abstract
We study a two-spin quantum Turing architecture, in which discrete local rotations αm of the Turing head spin alternate with quantum controlled NOT-operations. Substitution sequences are known to underlie aperiodic structures. We show that parameter inputs αm described by such sequences can lead here to a quantum dynamics, intermediate between the regular and the chaotic variant. Exponential parameter sensitivity characterizing chaotic quantum Turing machines turns out to be an adequate criterion for induced quantum chaos in a quantum network.
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