Local Transition Functions of Quantum Turing Machines

Issue		RAIRO-Theor. Inf. Appl. Volume 34, Number 5, September-October 2000


Page(s)		379 - 402
DOI		10.1051/ita:2000123

DOI: 10.1051/ita:2000123
Theoret. Informatics Appl. 34 (2000) 379-402

Local Transition Functions
of Quantum Turing Machines

Masanao Ozawa
Graduate School of Human Informatics, School of Informatics and Sciences, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan; (mozawa@math.human.nagoya-u.ac.jp)
CREST, Japan Science and Technology.

Harumichi Nishimura
Graduate School of Human Informatics, School of Informatics and Sciences, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan; (anishi@info.human.nagoya-u.ac.jp)
CREST, Japan Science and Technology.

Received October, 2000. Accepted January, 2001

Abstract: Foundations of the notion of quantum Turing machines are investigated. According to Deutsch's formulation, the time evolution of a quantum Turing machine is to be determined by the local transition function. In this paper, the local transition functions are characterized for fully general quantum Turing machines, including multi-tape quantum Turing machines, extending the results due to Bernstein and Vazirani.

Keywords and phrases: Quantum Turing machines, transition functions, multi-tape quantum Turing machines.

AMS Subject Classification: 68Q05, 81P10

Communicated by: J. Gruska

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.