49 citations · 59 across the 3 of their papers we have counts for
3 papers
cs.DM2008★ 3 cited
Cellular Automata as a Model of Physical Systems
Donny Cheung, Carlos A. Perez-Delgado
Cellular Automata (CA), as they are presented in the literature, are abstract mathematical models of computation. In this pa- per we present an alternate approach: using the CA as…
quant-ph2007★ 49 cited
Local Unitary Quantum Cellular Automata
Carlos A. Perez-Delgado, Donny Cheung
In this paper we present a quantization of Cellular Automata. Our formalism is based on a lattice of qudits, and an update rule consisting of local unitary operators that commute w…
quant-ph2005★ 7 cited
Models of Quantum Cellular Automata
Carlos A. Perez-Delgado, Donny Cheung
In this paper we present a systematic view of Quantum Cellular Automata (QCA), a mathematical formalism of quantum computation. First we give a general mathematical framework with…