A. C. Cem Say

  1. Causes of Ineradicable Spurious Predictions in Qualitative Simulation.

    Authors: A. C. Cem Say, O. Yilmaz
    Subjects: Artificial Intelligence
    Abstract

    It was recently proved that a sound and complete qualitative simulator does
    not exist, that is, as long as the input-output vocabulary of the
    state-of-the-art QSIM algorithm is used, there will always be input models
    which cause any simulator with a coverage guarantee to make spurious
    predictions in its output. In this paper, we examine whether a meaningfully
    expressive restriction of this vocabulary is possible so that one can build a
    simulator with both the soundness and completeness properties.

  2. NP has log-space verifiers with fixed-size public quantum registers.

    Authors: A. C. Cem Say, Abuzer Yakaryilmaz
    Subjects: Computational Complexity
    Abstract

    In classical Arthur-Merlin games (AM), the class of languages whose
    membership proofs can be verified by Arthur using logarithmic space coincides
    with the class P \cite{Co89}. In this note, we show that if Arthur has a
    fixed-size quantum register (the size of the register does not depend on the
    length of the input) instead of another source of random bits, membership in
    any language in NP can be verified with any desired error bound.

  3. Quantum function computation using sublogarithmic space (abstract & poster).

    Authors: A. C. Cem Say, Abuzer Yakaryilmaz
    Subjects: Computational Complexity
    Abstract

    We prove that quantum Turing machines are strictly superior to probabilistic
    Turing machines in function computation for any space bound $ o(\log(n)) $.

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