id: 05706134 dt: j an: 05706134 au: Iriyama, Satoshi; Ohya, Masanori ti: On generalized quantum Turing machine and its applications. so: Open Syst. Inf. Dyn. 16, No. 2-3, 195-204 (2009). py: 2009 pu: World Scientific, Singapore la: EN cc: ut: ci: li: doi:10.1142/S1230161209000141 ab: Summary: Ohya and Volovich discussed a quantum algorithm for the SAT problem with a chaos amplification process (OMV SAT algorithm) and showed that the number of steps it performed was polynomial in input size. In this paper, we define a generalized quantum Turing machine (GQTM) and related computational complexity. Then we show that there exists a GQTM which recognizes the SAT problem in polynomial time. Moreover, we discuss the problem of finding the quantum algorithm for a partial recursive function. rv: