Quantum network architecture of tight-binding models with substitution sequences

Details Quantum network architecture of tight-binding models with substitution sequences Quantum network architecture of tight-binding models with substitution sequences

2000-01-25

arxiv.org/abs/quant-ph/0001092v2

Physics

Quantum Physics

Accepted for publication in J. mod. Optics [Proc. Workshop "Entanglement and Decoherence", Gargnano (Italy), Sept 1999], 3 fig

Scientific paper

We study a two-spin quantum Turing architecture, in which discrete local rotations \alpha_m of the Turing head spin alternate with quantum controlled NOT-operations. Substitution sequences are known to underlie aperiodic structures. We show that parameter inputs \alpha_m 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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