Local Transition Functions of Quantum Turing Machines
  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. 
Masanao Ozawa and Harumichi Nishimura (Nagoya University)