Variational Quantum Circuit-Based Reinforcement Learning for Dynamic Portfolio Optimization

Vincent Gurgul, Ying Chen, Stefan Lessmann
1/20/2026
cs.LGq-fin.CPq-fin.PM

Official code: VincentGurgul/qrl-dpo-public (2 stars, MIT, last commit 2026-01-26).

Abstract

This paper presents a Quantum Reinforcement Learning (QRL) solution to the dynamic portfolio optimization problem based on Variational Quantum Circuits. The implemented QRL approaches are quantum analogues of the classical neural-network-based Deep Deterministic Policy Gradient and Deep Q-Network algorithms. Through an empirical evaluation on real-world financial data, we show that our quantum agents achieve risk-adjusted performance comparable to, and in some cases exceeding, that of classical Deep RL models with several orders of magnitude more parameters. However, while quantum circuit execution is inherently fast at the hardware level, practical deployment on cloud-based quantum systems introduces substantial latency, making end-to-end runtime currently dominated by infrastructural overhead and limiting practical applicability. Taken together, our results suggest that QRL is theoretically competitive with state-of-the-art classical reinforcement learning and may become practically advantageous as deployment overheads diminish. This positions QRL as a promising paradigm for dynamic decision-making in complex, high-dimensional, and non-stationary environments such as financial markets. The complete codebase is released as open source at: https://github.com/VincentGurgul/qrl-dpo-public

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Code Implementations(1)

MIT

This project implements Quantum Reinforcement Learning (QRL) for Portfolio Optimization using Variational Quantum Circuits (VQCs) for Quantum Neural Networks (QNNs) in Python 3.12.6. We leverage quantum computation to enhance the performance and speed up reinforcement learning tasks in dynamic financial applications.

21PythonJan 20, 20268 months agoMIT
ddpgdqnmachine-learningmlportfolio-optimization+5 more

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Cite this paper

@article{gurgul2026variational,
  title  = {Variational Quantum Circuit-Based Reinforcement Learning for Dynamic Portfolio Optimization},
  author = {Vincent Gurgul and Ying Chen and Stefan Lessmann},
  year   = {2026},
  eprint = {2601.18811},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2601.18811v2}
}

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