TY - JOUR
T1 - Quantum chaos in small quantum networks
AU - Kim, Ilki
AU - Mahler, Günter
PY - 2000/1/1
Y1 - 2000/1/1
N2 - 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. © 2000 Taylor & Francis Group, LLC.
AB - 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. © 2000 Taylor & Francis Group, LLC.
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U2 - 10.1080/09500340008244035
DO - 10.1080/09500340008244035
M3 - Article
SN - 0950-0340
VL - 47-2
SP - 177
EP - 186
JO - Journal of Modern Optics
JF - Journal of Modern Optics
IS - 3
ER -