Quantum Approximate Optimization Algorithm (QAOA) and Variational Quantum Eigensolver (VQE) have emerged as promising approaches for solving portfolio optimization tasks. However, the practical scalability of these methods remains a challenge due to the inherent noise and limitations of Noisy Intermediate-Scale Quantum (NISQ) devices. In this paper, we present Q-PORT (Quantum Portfolio Optimization with Resource-efficient Encoding and Scalability Analysis), a systematic study on the trade-offs between quantum circuit depth, stock encoding strategies, and scalability in quantum portfolio optimization. We investigate the impact of multi-qubit representations per stock and multi-stock encodings per qubit while varying circuit repetitions and Ansatz types. Our experimental results indicate that increasing qubits per stock offers negligible precision gains compared to classical Mean-Variance Optimization (MVO), while encoding multiple stocks per qubit significantly improves efficiency with minimal precision loss. These findings provide a new pathway toward resource-efficient and scalable quantum portfolio optimization, paving the way for near-term financial applications in quantum computing.

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Q-PORT: Quantum Portfolio Optimization with Resource-Efficient Encoding and Scalability Analysis

  • Alberto Marchisio,
  • Muhammad Umair Hafeez,
  • Nouhaila Innan,
  • Muhammad Kashif,
  • Muhammad Shafique

摘要

Quantum Approximate Optimization Algorithm (QAOA) and Variational Quantum Eigensolver (VQE) have emerged as promising approaches for solving portfolio optimization tasks. However, the practical scalability of these methods remains a challenge due to the inherent noise and limitations of Noisy Intermediate-Scale Quantum (NISQ) devices. In this paper, we present Q-PORT (Quantum Portfolio Optimization with Resource-efficient Encoding and Scalability Analysis), a systematic study on the trade-offs between quantum circuit depth, stock encoding strategies, and scalability in quantum portfolio optimization. We investigate the impact of multi-qubit representations per stock and multi-stock encodings per qubit while varying circuit repetitions and Ansatz types. Our experimental results indicate that increasing qubits per stock offers negligible precision gains compared to classical Mean-Variance Optimization (MVO), while encoding multiple stocks per qubit significantly improves efficiency with minimal precision loss. These findings provide a new pathway toward resource-efficient and scalable quantum portfolio optimization, paving the way for near-term financial applications in quantum computing.