dorsal/arxiv
View SchemaQuantum chaos in small quantum networks
| Authors | Ilki Kim, Guenter Mahler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911092 |
| URL | https://arxiv.org/abs/quant-ph/9911092 |
| DOI | 10.1080/09500340008244035 |
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.
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"abstract": "We study a 2-spin quantum Turing architecture, in which discrete local\nrotations \\alpha_m of the Turing head spin alternate with quantum controlled\nNOT-operations. We show that a single chaotic parameter input \\alpha_m leads to\na chaotic dynamics in the entire Hilbert space. The instability of periodic\norbits on the Turing head and `chaos swapping\u0027 onto the Turing tape are\ndemonstrated explicitly as well as exponential parameter sensitivity of the\nBures metric.",
"arxiv_id": "quant-ph/9911092",
"authors": [
"Ilki Kim",
"Guenter Mahler"
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"quant-ph"
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"doi": "10.1080/09500340008244035",
"title": "Quantum chaos in small quantum networks",
"url": "https://arxiv.org/abs/quant-ph/9911092"
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