量子公式大小的准二次下界
An Almost-Quadratic Lower Bound for Quantum Formula Size
摘要:
我们表明,Nechiporuk的方法证明下界的布尔公式可以扩展到量子的情况下。这导致了计算显式函数的量子公式的n^2 / log^2 n下界。之前唯一已知的量子公式的显式下界(由姚明提出)指出,多数函数没有线性尺寸的量子公式。
英文摘要:
We show that Nechiporuk's method for proving lower bound for Boolean formulas can be extended to the quantum case. This leads to an n^2 / log^2 n lower bound for quantum formulas computing an explicit function. The only known previous explicit lower bound for quantum formulas (by Yao) states that the majority function does not have a linear-size quantum formula.
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