Informally, a quantum cellular automaton (QCA) describes some
discrete-time local dynamics of a quantum system. Formally, a
QCA is a *-automoprhism of the algebra of local operators.
Local quantum circuits provide one example of QCA, but the...
Quantizing classical systems we consider Hilbert spaces
equipped with representations of canonical commutation
relations (CCR). In the case of an infinite number of degrees
of freedom it is necessary to consider representations of CCR
that are not...
