Constrained Counterdiabatic Quantum Approximate Optimization Algorithm for Portfolio Optimization

• URL: http://arxiv.org/abs/2605.06858v1
• Date: Thu, 07 May 2026 18:57:42 GMT
• Title: Constrained Counterdiabatic Quantum Approximate Optimization Algorithm for Portfolio Optimization
• Abstract summary: Constrained Counterdiabatic QAOA (CCD-QAOA) improved optimization performance under realistic budget and risk constraints.<n>Our numerical simulations demonstrate that, for a fixed QAOA depth, our CCD-QAOA approach consistently results in better approximation ratios.
• Score: 0.4346179456029564
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a counterdiabatic (CD) extension of the Quantum Approximate Optimization Algorithm (QAOA) for constrained portfolio optimization. By incorporating approximate adiabatic gauge potentials generated from nested commutators of the Ising-type portfolio problem Hamiltonian and the Hamming weight-preserving XY mixer Hamiltonian into our variational ansatz, the resulting Constrained Counterdiabatic QAOA (CCD-QAOA) achieves improved optimization performance under realistic budget and risk constraints. Benchmarking against standard XY-mixer QAOA, Grover-mixer QAOA, and penalty-based QAOA formulations, our numerical simulations demonstrate that, for a fixed QAOA depth, our CCD-QAOA approach consistently results in better approximation ratios.

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