Phys. Rev. Lett. 97, 020502 (2006) [4 pages]Universally Programmable Quantum Cellular AutomatonReceived 8 December 2005; published 13 July 2006 We discuss the role of classical control in the context of reversible quantum cellular automata. Employing the structure theorem for quantum cellular automata, we give a general construction scheme to turn an arbitrary cellular automaton with external classical control into an autonomous one, thereby proving the computational equivalence of these two models. We use this technique to construct a universally programmable cellular automaton on a one-dimensional lattice with single cell dimension 12. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.020502
DOI:
10.1103/PhysRevLett.97.020502
PACS:
03.67.Lx
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