中文

A decision procedure for well-formed linear quantum cellular automata

数据结构与算法 2007-05-23 v2 计算复杂性 量子物理

摘要

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 algorithm is O(n2)O(n^2) in the algebraic model of computation if the input automaton has continuous neighborhood.

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引用

@article{arxiv.cs/9906024,
  title  = {A decision procedure for well-formed linear quantum cellular automata},
  author = {Christoph Durr and Huong LeThanh and Miklos Santha},
  journal= {arXiv preprint arXiv:cs/9906024},
  year   = {2007}
}