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28 March 2024
 
  » arxiv » quant-ph/0104053

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Quantum Formulas: a Lower Bound and Simulation
Vwani P. Roychowdhury ; Farrokh Vatan ;
Date 10 Apr 2001
Subject Quantum Physics; Computational Complexity | quant-ph cs.CC
AbstractWe show that Nechiporuk’s method for proving lower bounds for Boolean formulas can be extended to the quantum case. This leads to an $Omega(n^2 / log^2 n)$ lower bound for quantum formulas computing an explicit function. The only known previous explicit lower bound for quantum formulas states that the majority function does not have a linear-size quantum formula. We also show that quantum formulas can be simulated by Boolean circuits of almost the same size.
Source arXiv, quant-ph/0104053
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