3 June 2011 Quantum cellular automata without quiescent states
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We show how to construct quantum cellular automata (QCA) based on the formalism introduced by Watrous but without that formalism's "quiescent states," by using shift-invariant Lebesgue measure on Cantor space. Although QCA's with quiescent states are strictly sufficient for computational purposes, removing quiescent states as a requirement allows global QCA states with infinite support that allows the state space of the QCA to be identified with the class of interpretations of logic-based formalism in a formal methods approach to proving the correctness correctness of QCAs with respect to formal specifications.
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Robert J. Irwin, Howard A. Blair, "Quantum cellular automata without quiescent states", Proc. SPIE 8057, Quantum Information and Computation IX, 80570M (3 June 2011); doi: 10.1117/12.884182; https://doi.org/10.1117/12.884182

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