Statistical properties of a quantum cellular automaton

Norio Inui, Shuichi Inokuchi, Yoshihiro Mizoguchi, Norio Konno

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We study a quantum cellular automaton (QCA) whose time evolution is defined using the global transition function of a classical cellular automaton (CA). In order to investigate natural transformations from CAs to QCAs, the present QCA includes the CA with Wolfram's rules 150 and 105 as special cases. We first 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 spatial-temporal space is introduced, and the difference between the CA and QCA is considered. In addition, it is shown that statistical properties in QCAs are related to the classical trajectory in configuration space.

    Original languageEnglish
    Article number032323
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume72
    Issue number3
    DOIs
    Publication statusPublished - Sep 1 2005

    All Science Journal Classification (ASJC) codes

    • Atomic and Molecular Physics, and Optics

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