Statistical Properties of a Quantum Cellular Automaton

Details Statistical Properties of a Quantum Cellular Automaton Statistical Properties of a Quantum Cellular Automaton

2005-04-14

arxiv.org/abs/quant-ph/0504104v2

Physics

Quantum Physics

20 pages,4 fgures

Scientific paper

10.1103/PhysRevA.72.032323

We study a quantum cellular automaton (QCA) whose time-evolution is defined from global transition function of classical cellular automata (CA). In order to investigate natural transformations from CA to QCA, the present QCA includes CA with Wolfram's rule 150 and 105 as special cases. We firstly compute the time-evolution of the QCA and examine its statistical properties. As a basic statistical value, the probability of finding an active cell averaged over a spatial-temporal space is introduced, and the difference between CA and QCA is considered. In addition, it is shown that statistical properties in QCA are related to the classical trajectory in the configuration space.

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