Computing The Non-Computable

CONTEMPORARY PHYSICS, no. 1 (2003): 51-71

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We explore in the framework of quantum computation the notion of computability, which holds a central position in mathematics and theoretical computer science. A quantum algorithm that exploits the quantum adiabatic processes is considered for Hilbert's tenth problem, which is equivalent to the Turing halting problem and known to be mathe...更多

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