An Almost-Quadratic Lower Bound for Quantum Formula Size

Details An Almost-Quadratic Lower Bound for Quantum Formula Size An Almost-Quadratic Lower Bound for Quantum Formula Size

1999-03-11

arxiv.org/abs/quant-ph/9903042v1

Physics

Quantum Physics

14 pages, 6 figures

Scientific paper

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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