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- W2124282981 abstract "Using a new and elegant reduction approach we derive a lower bound of quantum complexity for the approximation of imbeddings from anisotropic Sobolev classes B(W p r([0, 1]d)) to anisotropic Sobolev space W p s([0, 1]d) for all 1 ≤ p, q ≤ ∞. When p ≥ q this bound is optimal. In this case the quantum algorithms are not significantly better than the classical deterministic or randomized algorithms. When p ≥ q we conjecture that quantum algorithms bring speed-up over the classical deterministic and randomized ones. This conjecture was confirmed in the situation s = 0." @default.
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- W2124282981 date "2011-07-22" @default.
- W2124282981 modified "2023-10-17" @default.
- W2124282981 title "Complexity for the approximation of Sobolev imbeddings in the quantum computation model" @default.
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