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IEEE Dallas Circuits and Systems Conference (DCAS)

Reinforcement Learning for Control Variational Quantum Algorithm

Sanjeev Shapkota, Yayu Mo, Chenxu Liu, Yanzhu Chen, Brian T. Kirby, Thomas A. Searles, Sanjaya Lohani

Published Apr 10, 2026• 0 citations
Publisher

Abstract

Variational quantum algorithms (VQAs) are key enablers of practical computations on near-term quantum computing hardware. However, gate-based ansatz suffer from decoherence and control errors, limiting scalability. Pulse-level approaches, such as control variational quantum eigen solver (ctrl-VQE), address these challenges by directly optimizing analog control fields and enabling time-optimal state preparation. Building on this paradigm, we present a reinforcement-learning (RL) framework that autonomously discovers high-fidelity, time-efficient control pulses. Using a hydrogen dimer testbed, our RL agent achieves state-fidelity above 0.995 and ground state energy errors near 0.005 Hartree, demonstrating the promise of AI-driven, hardware-efficient quantum algorithms.

DOI
10.1109/dcas69364.2026.11544289

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Variational quantum algorithms (VQAs) are key enablers of practical computations on near-term quantum computing hardware. However, gate-based ansatz suffer from decoherence and control errors, limiting scalability. Pulse-level approaches, such as control variational quantum eigen solver (ctrl-VQE), address these challenges by directly optimizing analog control fields and enabling time-optimal state preparation. Building on this paradigm, we present a reinforcement-learning (RL) framework that autonomously discovers high-fidelity, time-efficient control pulses. Using a hydrogen dimer testbed, our RL agent achieves state-fidelity above 0.995 and ground state energy errors near 0.005 Hartree, demonstrating the promise of AI-driven, hardware-efficient quantum algorithms.
The Control Variational Quantum Eigensolver (ctrl-VQE) directly optimizes microwave pulses to enable faster and lower-error quantum-state preparation, but its continuous control landscape re- quires efficient search strategies. We demonstrate that a reinforcement-learning agent based on a deep Q learning network can autonomously discover high-performance pulse sequences using only system parameters and a reward function. The approach is fully general for superconducting qubit platforms, requires no ansatz, and operates at nanosecond resolution compatible with hardware con- straints. As a proof of concept, we apply the method to ground-state preparation of the Hydrogen molecule on a simulated superconducting device. The agent consistently identifies optimized control sequences that achieve high fidelity and outperform random-search baselines. These results highlight adaptive learning as a promising hardware-ready framework for pulse-level quantum control.
Many challenges arising in Quantum Technology can be successfully addressed using a set of machine learning algorithms collectively known as reinforcement learning (RL), based on adaptive decision-making through interaction with the quantum device. After a concise and intuitive introduction to RL aimed at a broad physics readership, we discuss the key ideas and core concepts in reinforcement learning with a particular focus on quantum systems. We then survey recent progress in RL in all relevant areas. We discuss state preparation in few- and many-body quantum systems, the design and optimization of high-fidelity quantum gates, and the automated construction of quantum circuits, including applications to variational quantum eigensolvers and architecture search. We further highlight the interactive capabilities of RL agents, emphasizing recent progress in quantum feedback control and quantum error correction, and briefly discuss quantum reinforcement learning as well as applications to quantum metrology. The review concludes with a discussion of open challenges -- such as scalability, interpretability, and integration with experimental platforms -- and outlines promising directions for future research. Throughout, we highlight experimental implementations that exemplify the increasing role of reinforcement learning in shaping the development of quantum technologies.
This paper investigates the application of reinforcement learning (RL) for adaptive quantum control. Traditional quantum control methods often rely on pre-designed pulse shapes optimized for specific scenarios, lacking adaptability to variations in system parameters or environmental noise. This work proposes a novel framework where an RL agent learns to dynamically adjust quantum control pulses in real-time, maximizing the fidelity of quantum operations. The agent receives feedback from the quantum system, typically measured through state variables, and utilizes this information to optimize the control pulse sequence. This adaptive approach addresses the limitations of static control schemes and promises enhanced robustness and performance in complex quantum systems. The core claim centers on utilizing reinforcement learning to design optimal quantum control pulses. The central mechanism involves a trained controller dynamically adjusting pulses based on system feedback. The presented methodology offers a new approach to quantum control, particularly relevant in noisy environments and systems with parameter variations. The research demonstrates the potential of RL for achieving superior quantum control outcomes compared to conventional techniques. ---
The convergence of quantum computing and artificial intelligence presents profound opportunities but faces significant hurdles, particularly in the Noisy Intermediate-Scale Quantum (NISQ) era. Quantum Machine Learning (QML) algorithms, while promising, exhibit sensitivity to noise and scalability challenges, hindering the demonstration of practical quantum advantage. Concurrently, Quantum Error Correction (QEC), essential for fault tolerance, imposes substantial resource overheads and is often developed generically, without specific adaptation to the target application's error sensitivity. This paper reviews the current state of the intersection of AI and quantum computing, examining both QML paradigms, e.g., Variational Quantum Algorithms, Quantum Kernels, and the burgeoning use of AI to enhance quantum computing itself, e.g., quantum control, QEC decoding, circuit design. A critical gap identified is the lack of frameworks that systematically co-design QML algorithms and QEC protocols adaptively. To address this, a novel framework is proposed based on Reinforcement Learning (RL). This framework employs an RL agent to dynamically adjust both the QML circuit architecture, e.g., VQC ansatz, and QEC parameters, e.g., decoding strategy, measurement frequency, based on observed application performance and estimated error characteristics. This adaptive co-design loop aims to optimize the trade-off between QML performance and QEC overhead, enhancing noise resilience and resource efficiency. The potential advantages, feasibility, and limitations of this approach are discussed, alongside with future research directions aimed at realizing robust and practical Quantum AI.
Noisy intermediate-scale quantum computers hold the promise of tackling complex and otherwise intractable computational challenges through the massive parallelism offered by qubits. Central to realizing the potential of quantum computing are perfect entangling (PE) two-qubit gates, which serve as a critical building block for universal quantum computation. In the context of quantum optimal control, shaping electromagnetic pulses to drive quantum gates is crucial for pushing gate performance toward theoretical limits. In this work, we leverage reinforcement learning (RL) techniques to discover near-optimal pulse shapes that yield PE gates. A collection of RL agents is trained within robust simulation environments, enabling the identification of effective control strategies even under noisy conditions. Selected agents are then validated on higher-fidelity simulations, illustrating how RL-based methods can reduce calibration overhead when compared to quantum optimal control techniques. Furthermore, the RL approach is hardware agnostic with the potential for broad applicability across various quantum computing platforms.
Variational quantum eigensolvers have recently received increased attention, as they enable the use of quantum computing devices to find solutions to complex problems, such as the ground energy and ground state of strongly-correlated quantum many-body systems. In many applications, it is the optimization of both continuous and discrete parameters that poses a formidable challenge. Using reinforcement learning (RL), we present a hybrid policy gradient algorithm capable of simultaneously optimizing continuous and discrete degrees of freedom in an uncertainty-resilient way. The hybrid policy is modeled by a deep autoregressive neural network to capture causality. We employ the algorithm to prepare the ground state of the nonintegrable quantum Ising model in a unitary process, parametrized by a generalized quantum approximate optimization ansatz: the RL agent solves the discrete combinatorial problem of constructing the optimal sequences of unitaries out of a predefined set and, at the same time, it optimizes the continuous durations for which these unitaries are applied. We demonstrate the noise-robust features of the agent by considering three sources of uncertainty: classical and quantum measurement noise, and errors in the control unitary durations. Our work exhibits the beneficial synergy between reinforcement learning and quantum control.