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24 April 2024
 
  » arxiv » cs.DS/9906024

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A decision procedure for well-formed linear quantum cellular automata
Christoph Durr ; Huong LeThanh ; Miklos Santha ;
Date 23 Jun 1999
Journal Random Structures and Algorithms 11, 381-394, 1997
Subject Data Structures and Algorithms; Computational Complexity ACM-class: F.1.1; F.2.1 | cs.DS cs.CC quant-ph
AbstractIn 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 algorithm is $O(n^2)$ in the algebraic model of computation if the input automaton has continuous neighborhood.
Source arXiv, cs.DS/9906024
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