Cellular automata machines: a new environment for modeling
Cellular automata machines: a new environment for modeling
Ininvertible cellular automata: a review
Physica D
A decision procedure for well-formed linear quantum cellular automata
Proceedings of the workshop on Randomized algorithms and computation
A Decision Procedure for Unitary Linear Quantum Cellular Automata
SIAM Journal on Computing
Reversible Cellular Automaton Able to Simulate Any Other Reversible One Using Partitioning Automata
LATIN '95 Proceedings of the Second Latin American Symposium on Theoretical Informatics
Intrinsic Universality of a 1-Dimensional Reversible Cellular Automaton
STACS '97 Proceedings of the 14th Annual Symposium on Theoretical Aspects of Computer Science
Universality in cellular automata
SWAT '70 Proceedings of the 11th Annual Symposium on Switching and Automata Theory (swat 1970)
Algebraic characterizations of unitary linear quantum cellular automata
MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
On the Circuit Depth of Structurally Reversible Cellular Automata
Fundamenta Informaticae
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We give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any onedimensional QCA can be encoded within the initial configuration of the universal QCA. Several steps of the universal QCA will then correspond to one step of the simulated QCA. The simulation preserves the topology in the sense that each cell of the simulated QCA is encoded as a group of adjacent cells in the universal QCA. The encoding is linear and hence does not carry any of the cost of the computation. We do this in two flavours: a weak one which requires an infinite but periodic initial configuration and a strong one which needs only a finite initial configuration.