# Quantum Metropolis Solver: A Quantum Walks Approach to Optimization Problems

@article{Campos2022QuantumMS, title={Quantum Metropolis Solver: A Quantum Walks Approach to Optimization Problems}, author={Roberto Campos and Pablo Antonio Moreno Casares and Miguel A. Martin-Delgado}, journal={ArXiv}, year={2022}, volume={abs/2207.06462} }

The eﬃcient resolution of optimization problems is one of the key issues in today’s industry. This task relies mainly on classical algorithms that present scalability problems and processing limitations. Quantum computing has emerged to challenge these types of problems. In this paper, we focus on the Metropolis-Hastings quantum algorithm that is based on quantum walks. We use this algorithm to build a quantum software tool called Quantum Metropolis Solver (QMS). We validate QMS with the N…

## One Citation

### Parameter estimation of gravitational waves with a quantum metropolis algorithm

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This article proposes a quantization of the classical algorithms used in the literature for the inference of gravitational wave parameters based on the well-known quantum walks technique applied to a Metropolis–Hastings algorithm and finds a polynomial advantage in the quantum algorithms, thus setting a first starting point for future algorithms.

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