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

Fingerprint

cellular automata
tungsten
trajectories
configurations
cells

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Statistical properties of a quantum cellular automaton. / Inui, Norio; Inokuchi, Shuichi; Mizoguchi, Yoshihiro; Konno, Norio.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 72, No. 3, 032323, 01.09.2005.

Research output: Contribution to journalArticle

@article{ad705332538b475fa9f0f5fe9a6d11f7,
title = "Statistical properties of a quantum cellular automaton",
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.",
author = "Norio Inui and Shuichi Inokuchi and Yoshihiro Mizoguchi and Norio Konno",
year = "2005",
month = "9",
day = "1",
doi = "10.1103/PhysRevA.72.032323",
language = "English",
volume = "72",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Statistical properties of a quantum cellular automaton

AU - Inui, Norio

AU - Inokuchi, Shuichi

AU - Mizoguchi, Yoshihiro

AU - Konno, Norio

PY - 2005/9/1

Y1 - 2005/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=28844482280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28844482280&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.72.032323

DO - 10.1103/PhysRevA.72.032323

M3 - Article

AN - SCOPUS:28844482280

VL - 72

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 3

M1 - 032323

ER -