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arXiv · 2604.25950

A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA)

Raneem Madani·Abdel Lisser·Zeno Toffano
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Abstract

Continuous-variable (CV) quantum systems offer a natural framework for continuous optimization through their infinite-dimensional Hilbert spaces. In this paper, we propose the Complex Continuous-Variable Quantum Approximate Optimization Algorithm (CCV-QAOA), a variational framework operating in the complex domain that optimizes over complex decision variables. The method efficiently solves real and complex multivariate optimization problems. To demonstrate its versatility, we apply CCV-QAOA across a broad suite of optimization use cases, including convex quadratic minimization, scaling studies with circuit depth and cutoff dimension, constrained quadratic programs using penalty constructions, and non-convex benchmarks such as the Styblinski-Tang function and complex quartic landscapes.

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Raneem Madani, Abdel Lisser, Zeno Toffano. 2026-04-23. A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA). https://arxiv.org/abs/2604.25950

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