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A decision procedure for well-formed linear quantum cellular automata

✍ Scribed by Christoph Dürr; Huong LêThanh; Miklos Santha


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
196 KB
Volume
11
Category
Article
ISSN
1042-9832

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✦ Synopsis


In this paper we introduce a new quantum computation model, the linear quantum cellular automaton. Well-formedness is an essential property for any quantum computing device since it enables us to define the probability of a configuration in an observation as the squared magnitude of its amplitude. We give an efficient algorithm which decides if a linear quantum cellular automaton is well-formed. The complexity of the Ž 2 . algorithm is O n in the algebraic model of computation if the input automaton has Ž .