• Corpus ID: 119071769

# A Quantum Approximate Optimization Algorithm Applied to a Bounded Occurrence Constraint Problem

@article{Farhi2014AQA,
title={A Quantum Approximate Optimization Algorithm Applied to a Bounded Occurrence Constraint Problem},
author={Edward Farhi and Jeffrey Goldstone and Sam Gutmann},
journal={arXiv: Quantum Physics},
year={2014}
}
• Published 18 December 2014
• Mathematics, Computer Science
• arXiv: Quantum Physics
We apply our recent Quantum Approximate Optimization Algorithm to the combinatorial problem of bounded occurrence Max E3LIN2. The input is a set of linear equations each of which contains exactly three boolean variables and each equation says that the sum of the variables mod 2 is 0 or is 1. Every variable is in no more than D equations. A random string will satisfy 1/2 of the equations. We show that the level one QAOA will efficiently produce a string that satisfies $\left(\frac{1}{2} + \frac… 143 Citations The Quantum Approximate Optimization Algorithm Needs to See the Whole Graph: Worst Case Examples • Computer Science, Mathematics • 2020 The Quantum Approximate Optimization Algorithm can be applied to search problems on graphs with a cost function that is a sum of terms corresponding to the edges, and it is shown that the QAOA with$(d-1)^{2p} < n^A$for any$A<1\$, can only achieve an approximation ratio of 1/2 on bipartite random d-regular graphs for d large.
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