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    Any problem solvable in deterministic or probabilistic po... — Carmelics
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    Home/Modality & Possibility
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    Supports→BQP contains both P and BPP

    Any problem solvable in deterministic or probabilistic polynomial time is therefore solvable by a quantum polynomial-time algorithm

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    BQP contains both P and BPPQuantum computation models can simulate classical Turing machines

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    No polynomial-time quantum algorithms have been found for NP-complete ...89%Any problem solvable in deterministic polynomial time is therefore sol...87%If P = NP, then every problem in NP is solvable in polynomial time.81%Non-deterministic Turing machines can solve the SAT problem in polynom...81%

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    It is thus also reasonable to ask how we might modify the definition of \(\mathfrak{N}\) so as to obtain a characterization of probabilistic algorithms which we might usefully employ. [33] This class can be most readily defined relative to a model of computation known as the probabilistic Turing machine \(\mathfrak{C}\). Such a device \(C\) has access to a random number generator which produces a new bit at each step in its computation but is otherwise like a conventional Turing machine. The act

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