1 results for Adamyan, V.A

  • A Quantum Scattering Approach to Undecidable Problems: Preliminary Version

    Adamyan, V.A; Calude, C.S; Pavlov, B (2002-10)

    Report
    The University of Auckland Library

    In [12] a probabilistic solution to the Infinite Merchant’s Problem, an undecidable problem equivalent to the Halting Problem, was proposed. The solution uses a real Hilbert space and is based on the estimation of the exponential growth of an unbounded semigroup. The aim of this paper is to offer an alternative solution in terms of scattering processes on quantum dots. We will reduce the problem to a special scattering problem, observe the results of multiple acts of scattering and, finally, estimate the deviation of the scattered data from the input data.

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