A Simple -Dimensional Intrinsically Universal Quantum Cellular Automaton

被引:5
作者
Arrighi, Pablo [1 ]
Grattage, Jonathan
机构
[1] Univ Grenoble, LIG, 220 Rue Chim, F-38400 Smh, France
[2] ENS, LIP, F-69364 Lyon, France
来源
LANGUAGE AND AUTOMATA THEORY AND APPLICATIONS | 2010年 / 6031卷
关键词
D O I
10.1007/978-3-642-13089-2_6
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We describe a simple n-dimensional quantum cellular automaton (QCA) capable of simulating all others, in that the initial configuration and the forward evolution of any n-dimensional QCA can be encoded within the initial configuration of the intrinsically universal QCA. Several steps of the intrinsically universal QCA 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.
引用
收藏
页码:70 / +
页数:4
相关论文
共 40 条
  • [1] Albert J., 1987, Complex Systems, V1, P1
  • [2] [Anonymous], 1990, Complexity, Entropy, and the Physics of Information
  • [3] [Anonymous], THESIS U NIJMEGEN NE
  • [4] [Anonymous], 1991, COMPLEX SYST
  • [5] ARRIGHI P, 2009, 2 MINIMAL N DI UNPUB
  • [6] Arrighi P., 2009, FUNDAMENTA INFORM, V21, P1001
  • [7] ARRIGHI P, 2007, P DEV COMP MOD WORKS
  • [8] ARRIGHI P, 2010, QUANTUM INFORM PROCE
  • [9] ARRIGHI P, 2009, PARTITIONED QU UNPUB
  • [10] ARRIGHI P, 2009, ARXIV09073827