Local Transition Functions of Quantum Turing Machines

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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.
22 pages, LaTeX, revised and extended, to appear in RAIRO Theor. Inform. Appl

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