The quantum cellular automaton as a Markov process

被引：3
|
作者：
Fitzpatrick, M
Smith, K
Belousek, DW
Delgado, A
Roos, KR
Kenny, JP [1 ]
机构：
[1] Bradley Univ, Dept Phys, Peoria, IL 61625 USA
[2] Univ Notre Dame, Notre Dame, IN 46556 USA
[3] Bradley Univ, Dept Math, Peoria, IL 61625 USA
来源：
CHAOS SOLITONS & FRACTALS | 1999年 / 10卷 / 08期
关键词：
D O I：
10.1016/S0960-0779(98)00178-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamical behavior of the Quantum Cellular Automaton (QCA) is described here as a Markov Process. Ergodicity and recurrence, emergent properties of the discrete dynamical QCA system, are defined in the context of the characteristic polynomial of the Markov transition matrix. Except for a few anomalous cases, the transition matrix can be used to predict recurrence times. Finally, a correspondence between recurrence and elementary particle mass is proposed as an example of an emergent property of the QCA system. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1375 / 1386
页数：12
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