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    No polynomial-time quantum algorithms have been found for... — Carmelics
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    Supports→A proof that P is strictly contained in BQP would not alone determine the bearing of quantum computation on the limits of feasible computation or on the Cobham-Edmonds thesis
    Supports→Even a proof that P is a strict subset of BQP would not by itself settle the bearing of quantum computation on feasible computation or the Cobham-Edmonds thesis
    Supports→Even if P ⊊ BQP were proven, further empirical investigation would be required to determine quantum computation's bearing on feasible computation or the Cobham-Edmonds thesis

    No polynomial-time quantum algorithms have been found for NP-complete problems on widely accepted quantum computation models

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    A proof that P is strictly contained in BQP would not alone determine the bearin...BQP ⊆ PSPACE, but the relationship between BQP and NP is not well understoodEmpirical investigation beyond the theoretical proof would still be requiredEven a proof that P is a strict subset of BQP would not by itself settle the bea...
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    Even if P ⊊ BQP were proven, further empirical investigation would be required t...The relationship between BQP and NP is currently not well understoodThere is considerable controversy about whether physical realizations of quantum...There is considerable controversy about whether physical realizations of quantum...Whether physically robust realizations of quantum computation models sufficient ...

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    Any problem solvable in deterministic or probabilistic polynomial time...89%No polynomial time algorithm has been found for any NP-complete proble...82%The existence of a polynomial time algorithm for any NP-complete probl...81%A polynomial time algorithm for any one NP-complete problem would enta...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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