A hybrid algorithm for quadratically constrained quadratic optimization problems

• URL: http://arxiv.org/abs/2309.10564v1
• Date: Tue, 19 Sep 2023 12:19:12 GMT
• Title: A hybrid algorithm for quadratically constrained quadratic optimization problems
• Authors: Hongyi Zhou, Sirui Peng, Qian Li, Xiaoming Sun
• Abstract summary: We propose a variational quantum algorithm for general QCQPs. By encoding the variables on the amplitude of a quantum state, the requirement of the qubit number scales logarithmically with the dimension of the variables. Our numerical experiments on typical QCQP problems, including Max-Cut and optimal power flow problems, demonstrate a better performance of our hybrid algorithm over the classical counterparts.
• Score: 8.90266532129563
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quadratically Constrained Quadratic Programs (QCQPs) are an important class of optimization problems with diverse real-world applications. In this work, we propose a variational quantum algorithm for general QCQPs. By encoding the variables on the amplitude of a quantum state, the requirement of the qubit number scales logarithmically with the dimension of the variables, which makes our algorithm suitable for current quantum devices. Using the primal-dual interior-point method in classical optimization, we can deal with general quadratic constraints. Our numerical experiments on typical QCQP problems, including Max-Cut and optimal power flow problems, demonstrate a better performance of our hybrid algorithm over the classical counterparts.

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