Artificial Intelligence for Quantum Discovery:From State Reconstruction to Hamiltonian Learning and Post-Quantum Law Extraction Artificial Intelligence is rapidly evolving from a computational accelerator into ascientific discovery mechanism. Quantum experiments now generate large-scaledatasets — entanglement snapshots, Hamiltonian trajectories, control feedback traces —which exceed the dimensional and conceptual capacity of human analytical methods. This paper presents a unified framework in which AI does not merely simulatequantum systems, but discovers their structure. We review and systematize recentresults in: • neural-network quantum tomography,• NQS variational wavefunction learning,• unsupervised discovery of quantum phases and materials,• Hamiltonian learning from dynamical evolution,• reinforcement-learning quantum control, and• AI-driven extraction of Schrödinger and Born from data. We introduce a law-recovery engine that derives quantum dynamics from experimentalmeasurement statistics via symbolic complexity minimization, and then extend theframework into post-quantum anomaly detection, enabling AI to identify deviationsthat could indicate new physical law. If quantum mechanics is complete, this pipeline will verify it at unprecedentedresolution.If it is not, AI may be the first method capable of revealing what lies beyond it. 🔑 Keywords (Zenodo / arXiv Optimized) Primary indexing terms quantum machine learning (QML) neural quantum states (NQS) Hamiltonian learning quantum state tomography reinforcement learning for quantum control AI-assisted phase discovery Law discovery / foundational physics Schrödinger law emergence Born rule recovery post-quantum anomaly detection symbolic regression in physics discovery of physical laws Experimental relevance Rydberg atom arrays superconducting qubits trapped ions photonic interferometry many-body quantum systems Meta-themes artificial intelligence for science automated theory formation machine-generated physics data-driven quantum foundations
Artificial Intelligence for Quantum Discovery:From State Reconstruction to Hamiltonian Learning and Post-Quantum Law Extraction Artificial Intelligence is rapidly evolving from a computational accelerator into ascientific discovery mechanism. Quantum experiments now generate large-scaledatasets — entanglement snapshots, Hamiltonian trajectories, control feedback traces —which exceed the dimensional and conceptual capacity of human analytical methods. This paper presents a unified framework in which AI does not merely simulatequantum systems, but discovers their structure. We review and systematize recentresults in: • neural-network quantum tomography,• NQS variational wavefunction learning,• unsupervised discovery of quantum phases and materials,• Hamiltonian learning from dynamical evolution,• reinforcement-learning quantum control, and• AI-driven extraction of Schrödinger and Born from data. We introduce a law-recovery engine that derives quantum dynamics from experimentalmeasurement statistics via symbolic complexity minimization, and then extend theframework into post-quantum anomaly detection, enabling AI to identify deviationsthat could indicate new physical law. If quantum mechanics is complete, this pipeline will verify it at unprecedentedresolution.If it is not, AI may be the first method capable of revealing what lies beyond it. 🔑 Keywords (Zenodo / arXiv Optimized) Primary indexing terms quantum machine learning (QML) neural quantum states (NQS) Hamiltonian learning quantum state tomography reinforcement learning for quantum control AI-assisted phase discovery Law discovery / foundational physics Schrödinger law emergence Born rule recovery post-quantum anomaly detection symbolic regression in physics discovery of physical laws Experimental relevance Rydberg atom arrays superconducting qubits trapped ions photonic interferometry many-body quantum systems Meta-themes artificial intelligence for science automated theory formation machine-generated physics data-driven quantum foundations
The simulation of quantum matter with classical hardware plays a central role in the discovery and development of quantum many-body systems, with far-reaching implications in condensed matter physics and quantum technologies. In general, efficient and sophisticated algorithms are required to overcome the severe challenge posed by the exponential scaling of the Hilbert space of quantum systems. In contrast, hardware built with quantum bits of information are inherently capable of efficiently finding solutions of quantum many-body problems. While a universal and scalable quantum computer is still beyond the horizon, recent advances in qubit manufacturing and coherent control of synthetic quantum matter are leading to a new generation of intermediate scale quantum hardware. \n \nThe complexity underlying quantum many-body systems closely resembles the one encountered in many problems in the world of information and technology. In both contexts, the complexity stems from a large number of interacting degrees of freedom. A powerful strategy in the latter scenario is machine learning, a subfield of artificial intelligence where large amounts of data are used to extract relevant features and patterns. In particular, artificial neural networks have been demonstrated to be capable of discovering low-dimensional representations of complex objects from high-dimensional dataset, leading to the profound technological revolution we all witness in our daily life. \n \nIn this Thesis, we envision a new paradigm for scientific discovery in quantum physics. On the one hand, we have the essentially unlimited data generated with the increasing amount of highly controllable quantum hardware. On the other hand, we have a set of powerful algorithms that efficiently capture non-trivial correlations from high-dimensional data. Therefore, we fully embrace this data-driven approach to quantum mechanics, and anticipate new exciting possibilities in the field of quantum many-body physics and quantum information science. We revive a powerful stochastic neural network called a restricted Boltzmann machine, which slowly moved out of fashion after playing a central role in the machine learning revolution of the early 2010s. We introduce a neural-network representation of quantum states based on this generative model. We propose a set of algorithms to reconstruct unknown quantum states from measurement data and numerically demonstrate their potential, with important implications for current experiments. These include the reconstruction of experimentally inaccessible properties, such as entanglement, and diagnostics to determine sources of noise. Furthermore, we introduce a machine learning framework for quantum error correction, where a neural network learns the best decoding strategy directly from data. We expect that the full integration between quantum hardware and artificial intelligence will become the gold standard, and will drive the world into the era of fault-tolerant quantum computing and large-scale quantum simulations.
Artificial intelligence (AI) and quantum information (QI) are rapidly co-evolving. AI is becoming a practical tool for learning, designing, controlling, and verifying quantum systems, while QI offers new computational models, representational structures, and learning-theoretic questions for AI. This survey reviews the interface from both directions. In the AI for QI direction, we organize recent progress around the central tasks of extracting information from limited measurements, training and discovering quantum algorithms, stabilizing noisy hardware, automating experimental and programming workflows, and extending learning-based methods to sensing and networking. In the QI for AI direction, we examine how quantum computation and quantum-inspired structures affect learning through algorithmic speedups, expressivity, trainability, generalization, neural-network design, and tensor-network representations. We close by identifying cross-cutting challenges in reproducibility, scalability, hardware realism, and co-design, arguing that progress will depend on tighter integration of theory, experiment, and hybrid quantum--classical systems.
There has been remarkable development in the data-driven decision-making domain of Artificial Intelligence (AI). However, the complexity of the AI models and the amount of data have shown some drawbacks with conventional computing models. One of the interdisciplinary branches of quantum computing and machine learning is Quantum Machine Learning (QML), which is a combination of quantum computing and machine learning and relies on the unique characteristics of quantum computing, such as superposition, entanglement, and quantum parallelism, to enhance the performance of the machines. This review provides a comprehensive description of theory, architectures, algorithms, implementational approaches, applications, problems, and future directions of QML. The core concepts of quantum computing and machine learning are introduced. Different representations of quantum states, quantum data encoding, variational quantum circuits, quantum kernel methods, and hybrid quantum or classical optimization are discussed. Significant QML algorithms like Quantum Support Vector Machines, Quantum Neural Networks, Variational Quantum Eigen solvers, Quantum Approximate Optimization Algorithms, and Quantum reinforcement learning are explored and evaluated for computational power and applications. The scaling up of quantum computer sizes, data encoding overhead, complexity of optimizations, benchmarking, and decoherence are discussed in detail, as well as recent developments in fault-tolerant quantum computing and hybrid learning approaches. Finally, a conceptual framework is given to demonstrate the unification of classical computation and quantum computation to intelligently process data. This review demonstrates how QML could be the next-generation computational method to accelerate scientific advancements and enable new advanced AI technologies.
Quantum computing and artificial intelligence (AI) are converging into a distinct research frontier commonly referred to as quantum-enhanced artificial intelligence, or quantum machine learning (QML). This paper presents a conceptual and integrative review of how principles from quantum physics superposition, entanglement, and interference can be embedded into machine learning pipelines to reshape computational paradigms for classification, optimization, and representation learning. Using a structured narrative-review methodology, the study synthesizes theoretical foundations, algorithmic building blocks (quantum feature maps, variational quantum circuits, quantum kernel methods), and application domains spanning drug discovery, finance, materials science, and natural language processing. The review develops a hybrid quantum-classical architecture model and a complexity-comparison framework contrasting classical algorithms with their quantum counterparts, including Grover's search and Shor's factoring algorithm. Findings indicate that while theoretical speedups are well established, practical quantum advantage on noisy intermediate-scale quantum (NISQ) hardware remains constrained by decoherence, barren plateaus, and limited qubit connectivity. The paper contributes a synthesized taxonomy of quantum-enhanced AI methods and an evidence-based research agenda emphasizing error mitigation, hardware-aware ansatz design, and hybrid workload partitioning. The discussion further situates these developments within the broader trajectory of next-generation computing, arguing that near-term value will accrue primarily through hybrid quantum-classical systems rather than fully quantum pipelines. Implications for researchers, industry practitioners, and policymakers are discussed, alongside limitations inherent to a literature-synthesis approach.
The field of Quantum Artificial Intelligence (Quantum AI) has emerged as a promising interdisciplinary research area where the computational power of quantum computing is merged with the learning and decision-making power of AI. The application of quantum principles such as superposition, entanglement and quantum interference to machine learning algorithms has created new possibilities for solving problems that may be difficult to solve by classical machines. In the last few years, advances in Noisy Intermediate-Scale Quantum (NISQ) devices have helped to speed advances in Quantum Machine Learning (QML) algorithms, Quantum Neural Networks (QNNs), Quantum Support Vector Machines (QSVMs), Quantum Convolutional Neural Networks (QCNNs) and hybrid learning algorithms. This review provides a comprehensive overview of the research in the field of Quantum AI from 2020 to 2026, covering the key concepts, novel architectures, algorithmic advancements, and practical applications. A critical assessment of the application of Quantum AI in fields such as healthcare, finance, cybersecurity, scientific computing and optimization problems is provided, and the benefits of quantum-enhanced learning models are discussed. In addition, common difficulties such as quantum hardware limitations, sensitivity to noise, encoding of data, scalability constraints and a lack of speed in training variational quantum circuits are discussed. The review also covers new avenues of research, including trustworthy quantum machine learning, explainable Quantum AI, quantum federated learning, and fault-tolerant quantum computing. The results suggest while practical large-scale deployment is currently limited by existing hardware capabilities, hybrid quantum-classical systems have great potential to rapidly move intelligent data processing and develop next-generation AI systems.
The rapid convergence of quantum computing and artificial intelligence (AI) marks a transformative phase in computational sciences, promising groundbreaking solutions to problems beyond the reach of classical systems. This paper provides a comprehensive survey of the theoretical foundations, key advancements, and future challenges of integrating quantum computing into AI. The discussion begins with foundational quantum concepts, including the principles of superposition, entanglement, and interference, as well as mathematical frameworks such as Dirac notation and tensor product spaces. These concepts form the backbone of quantum algorithms and architectures designed to enhance AI capabilities. The paper delves into the state-of-the-art in quantum hardware, exploring the construction of quantum gates, circuits, and the innovations driving superconducting qubits, trapped ions, and photonic quantum systems. It reviews the contributions of leading industry and academic players in overcoming scalability and error correction challenges. Building on these hardware advancements, the survey examines prominent quantum algorithms, such as Shor’s algorithm for cryptography, Grover’s algorithm for search and optimization, and their potential to accelerate machine learning tasks. A significant portion of the survey focuses on quantum machine learning (QML), covering core architectures like Quantum Neural Networks (QNNs), Variational Quantum Circuits (VQCs), and Quantum Boltzmann Machines (QBMs). The paper also explores Quantum Support Vector Machines (QSVM) and Quantum Principal Component Analysis (QPCA), emphasizing their implementation, data encoding strategies, and optimization processes. Despite these advances, the paper identifies persistent challenges that hinder widespread adoption, including quantum decoherence, hardware scalability, and the need for modular architectures. Additionally, it considers the ethical and economic implications of quantum-AI integration, particularly as quantum technologies evolve from theoretical models to practical applications. The insights presented here aim to guide researchers, practitioners, and policymakers in shaping the future of this transformative field.