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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

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