Quantum chaos in small quantum networks
Quantum Physics
2015-06-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/9911092,
title = {Quantum chaos in small quantum networks},
author = {Ilki Kim and Guenter Mahler},
journal= {arXiv preprint arXiv:quant-ph/9911092},
year = {2015}
}
Comments
Accepted for publication in JMO (quantum information special issue, Vol 47), 3 figures