Quantum Circuit Trainability

Overview

The field asks whether parameterized quantum circuits can be optimized reliably as their depth and number of qubits grow, particularly when gradients become too small or misleading, as in barren plateaus. Researchers analyze gradient variance, circuit geometry, Jacobian rank, and Fourier spectra, and test design strategies such as local readouts, structured ansätze, adaptive depth growth, and frequency-aware initialization. Studies span variational quantum algorithms, quantum machine learning, and tasks such as classification and molecular-energy estimation, using both theoretical bounds and simulations with classical and hardware-aware baselines. A central tension is that expressivity, useful gradients, noise robustness, and resistance to efficient classical simulation do not necessarily improve together, and gradient diagnostics alone do not guarantee successful optimization.

Latest papers

CardsList

34 papers4 papers in the last four weeks, up 33% on the four weeks before. 0.0% of all new papers.

  1. Quantum-Classical Neural Networks for Solving Lindblad Master Equations

    Oct 15, 2026Rafael Florencio Díaz, Julio Guerrero García, Elvira Romera GutiérrezVariational Quantum AlgorithmsHybrid Quantum-Classical ML

  2. Same Spectrum, Harder First-Order Training: Phase-Locking in Single- versus Multi-Qubit Re-Uploading Circuits

    Oct 15, 2026Michael Poppel, David Bucher, Maximilian Zorn +5Quantum Circuit TrainabilityQuantum Machine Learning

  3. Toward Joint Optimization of Circuit Depth and Training Data Size in Adaptively Grown Quantum Classifiers

    Oct 8, 2026Saeefa Rubaiyet Nowmi, Md Mahmuduzzaman Kamol, Mohammad Saidur RahmanQuantum Circuit TrainabilityNeural Network Generalization

  4. Q-Capsule: A Localized Capsule-Based Quantum Neural Architecture for Barren Plateau Mitigation

    Oct 8, 2026Awal Ahmed Fime, Tasfia Zaman Samiha, Saika Zaman +4Quantum Neural NetworksQuantum Circuit Trainability

  5. Modeling quantum neural network gradient with reinforcement learning

    Sep 25, 2026Nhan Trong Luu, Duong Trung Luu, Nam Ngoc Pham +1Quantum Neural NetworksQuantum Circuit Trainability

  6. Quantum Graph Convolutional Networks: Implementation and Trainability Analysis

    Sep 17, 2026Paul San Sebastian Sein, Theodor Iosif, Tilen G. Limbäck-Stokin +2Graph-Based Semi-Supervised LearningVariational Quantum Circuits

  7. Stacking the Deck: Tunable Trainability in Stacked LCUs

    Jul 27, 2026Nikhil Khatri, Stefan Zohren, Gabriel MatosBarren PlateausQuantum Circuit Simulation

  8. Entanglement geometry separates circuit cutting, classical hardness, and trainability

    Jul 20, 2026Maria Gragera Garces, Sabina Drăgoi, Lirandë PiraTensor NetworksQuantum Circuit Simulation

  9. Identity-Paired Progressive Depth Training: When Trainability Persists Beyond Expressibility

    Jul 18, 2026Athanasios Hadjidimoulas, Tirthak Patel, Anastasios KyrillidisQuantum Circuit ExpressibilityVariational Quantum Circuits

  10. Breaking the One-Dimensional Expressibility-Trainability Tradeoff

    Jul 6, 2026Kyoungho Cho, Yu-Seong Jeon, Jinhyoung Lee +1Quantum Circuit ExpressibilityBarren Plateaus

  11. A Coherence Law for Trainability in Noisy Equivariant Quantum Neural Networks

    Jun 28, 2026Hassan Ugail, Newton HowardEquivariant Neural NetworksNeural Network Training Dynamics

  12. Exponentially many initializations to avoid barren plateaus

    Jun 16, 2026Ankit Kulshrestha, Ricard Puig, Diego García-Martín +4Barren PlateausVariational Quantum Circuits

  13. Trainability of IQP Quantum Circuit Born Machines Under Gaussian Initialization

    Jun 8, 2026Gennaro De Luca, Vinayak Sharma, Aviral ShrivastavaQuantum Generative ModelingQuantum Machine Learning

  14. Quantum Algorithm for Distributed Reduction of Entanglements (QADR): A Trainable and Simulation-Efficient QML Framework

    May 31, 2026Syed Farhan Ahmad, Gregory T. ByrdHybrid Quantum-Classical MLBarren Plateaus

  15. Architecture Shape Governs QNN Trainability: Jacobian Null Space Growth and Parameter Efficiency

    May 7, 2026Michael Poppel, David Bucher, Maximilian Zorn +5Variational Quantum CircuitsQuantum Circuit Trainability

  16. Adversarial Effects on Expressibility and Trainability in Distributed Variational Quantum Algorithms

    May 5, 2026Abhishek Sadhu, Sharu Theresa JoseQuantum Circuit ExpressibilityVariational Quantum Circuits

  17. Trainability Beyond Linearity in Variational Quantum Objectives

    Apr 20, 2026Gordon Ma, Xiufan LiBarren PlateausVariational Quantum Circuits

  18. Soft-Quantum Algorithms

    Apr 7, 2026Basil Kyriacou, Mo Kordzanganeh, Maniraman Periyasamy +1Variational Quantum CircuitsQuantum Circuit Trainability

  19. Pixel-Translation-Equivariant Quantum Convolutional Neural Networks via Fourier Multiplexers

    Apr 7, 2026Dmitry Chirkov, Igor LobanovQuantum Convolutional Neural NetworksEquivariant Neural Networks

  20. LieTrunc-QNN: Lie Algebra Truncation and Quantum Expressivity Phase Transition from LiePrune to Provably Stable Quantum Neural Networks

    Apr 3, 2026Haijian Shao, Dalong Zhao, Xing Deng +2Quantum Circuit ExpressibilityQuantum Neural Networks

  21. Layered Quantum Architecture Search for 3D Point Cloud Classification

    Mar 20, 2026Natacha Kuete Meli, Jovita Lukasik, Vladislav Golyanik +1Quantum Architecture SearchQuantum Neural Networks

  22. How to find expressible and trainable parameterized quantum circuits?

    Mar 15, 2026Peter Röseler, Dennis Willsch, Kristel MichielsenQuantum Circuit ExpressibilityVariational Quantum Circuits

  23. Beyond Barren Plateaus: A Scalable Quantum Convolutional Architecture for High-Fidelity Image Classification

    Mar 11, 2026Radhakrishnan DelhibabuQuantum Convolutional Neural NetworksQuantum Circuit Trainability

  24. From Reachability to Learnability: Geometric Design Principles for Quantum Neural Networks

    Mar 3, 2026Vishal S. Ngairangbam, Michael SpannowskyQuantum Neural NetworksQuantum Machine Learning

  25. Long Range Frequency Tuning for QML

    Feb 26, 2026Michael Poppel, Markus Baumann, Sebastian Wölckert +2Quantum Machine LearningVariational Quantum Circuits