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Minimal Contact Circuits for Symmetric Threshold Functions

Red’kin, N. P.

Abstract For the monotone symmetric threshold Boolean functions \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ f^n_2(\widetilde x\mspace{2mu})=\bigvee_{1\le i

From the sum-of-squares representation of a Boolean function to an optimal exact quantum query algorithm

Xu, Guoliang Qiu, Daowen

Published in Quantum Information Processing

In quantum computation, designing an optimal exact quantum query algorithm (i.e., a quantum decision tree algorithm) for any small input Boolean function is a fundamental and abstract problem. As we are aware, there is not a general method for this problem. Due to the fact that every Boolean function can be represented by a sum-of-squares of some m...

Publication search with Boolean function as keyword

Minimal Contact Circuits for Symmetric Threshold Functions

From the sum-of-squares representation of a Boolean function to an optimal exact quantum query algorithm

Publication search
with Boolean function as keyword