view 'quantum nano-automata
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2009-01-10 16:18:48
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bci1
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\begin{definition}: alternatively, as a quantum algebraic topology object, a \emph{quantum automaton} is defined by the
triplet $(\grp,\emph{H}-\Re_{\grp}, Aut(\grp)$), where $\grp$ is a locally compact \emph{quantum groupoid},
\emph{H}-$\Re_{\grp}$ are the unitary representations of $\grp$ on rigged Hilbert spaces $\Re_\grp$ of quantum states and quantum operators on \emph{H}, and $Aut(\grp)$ is the transformation, or automorphism, groupoid of quantum transitions.
\end{definition}
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