RAIRO-Theor. Inf. Appl.
Volume 34, Number 5, September/October 2000
|Page(s)||379 - 402|
|Published online||15 April 2002|
Local Transition Functions of Quantum Turing Machines
Graduate School of Human Informatics,
School of Informatics and Sciences,
Nagoya University, Chikusa-ku,
Nagoya 464-8601, Japan;
2 CREST, Japan Science and Technology.
3 Graduate School of Human Informatics, School of Informatics and Sciences, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan; (email@example.com)
Accepted: January 2001
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.
Mathematics Subject Classification: 68Q05 / 81P10
Key words: Quantum Turing machines / transition functions / multi-tape quantum Turing machines.
© EDP Sciences, 2000
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