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- W2108177589 abstract "J. Watrous introduced the notion of quantum cellular automata(QCA) and showed that any quantum Turing machine can be efficiently simulated by a QCA with constant slowdown in 1995. CA with quantum cells is well-formed QCA if and only if its global transition function is unitary. Generally quantumization of cells of a classical CA dose not make it become QCA, because usually classical CA dose not have reversibility. Morita and Harao show that we can get reversible CA by partition a cell into three part and partitioned CA(PCA) can simulate non-partitioned CA(NPCA)[10]. But there is not a trivial inclusion relation between PCA and NPCA. In this paper, we introduce a new formulation of finite cyclic QCA and generalized notion of partitioned QCA in order to investigate natural transformations from discrete CA to QCA. According to the formulations, we demonstrate a condition of a local transition function, which induce a well-formed QCA. A natural correspondence of classical cells and quantum cells can be extended to the correspondence of classical CA and QCA. If a classical CA satisfies our conditions then the extended QCA is well-formed. Finally we report some results of computer simulations of quantumization of classical CA." @default.
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- W2108177589 date "2005-01-01" @default.
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- W2108177589 title "Generalized Partitioned Quantum Cellular Automata and Quantization of Classical CA" @default.
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