Quantum chaos in small quantum networks

Details Quantum chaos in small quantum networks Quantum chaos in small quantum networks

1999-11-20

arxiv.org/abs/quant-ph/9911092v1

Physics

Quantum Physics

Accepted for publication in JMO (quantum information special issue, Vol 47), 3 figures

Scientific paper

We study a 2-spin quantum Turing architecture, in which discrete local rotations \alpha_m of the Turing head spin alternate with quantum controlled NOT-operations. We show that a single chaotic parameter input \alpha_m leads to a chaotic dynamics in the entire Hilbert space. The instability of periodic orbits on the Turing head and `chaos swapping' onto the Turing tape are demonstrated explicitly as well as exponential parameter sensitivity of the Bures metric.

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