# 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} }

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

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