Quantum chaos in small quantum networks

Abstract

We study a 2-spin quantum Turing architecture, in which discrete local rotations α_m of the Turing head spin alternate with quantum controlled NOT-operations. We show that a single chaotic parameter input α_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.

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

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Cited by in corpus (3)

• Reversible and irreversible dynamics of a qubit interacting with a small environment
• Structural change in multipartite entanglement sharing: a random matrix approach
• Quantum network architecture of tight-binding models with substitution sequences