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This paper applies transformer models, pretrained with masked modeling on vectorized density matrices, to classify whether bipartite quantum states are entangled or separable. The reported near-perfect accuracy is on a curated dataset of state families, so it does not yet show that the approach scales to high-dimensional or noisy experimental states. For readers, the main question is whether learned classifiers can practically replace costly entanglement criteria, and that depends on generalization beyond these benchmarks.
Sursă care acoperăarXiv

Quantum-aware Transformer model for state classification

arXiv2 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2502.21055v2 Announce Type: replace Abstract: Entanglement is a fundamental feature of quantum mechanics, playing a crucial role in quantum information processing. However, classifying entangled states, particularly in the mixed-state regime, remains a challenging problem, especially as system dimensions increase. In this work, we focus on bipartite quantum states and present a data-driven approach to entanglement classification using transformer-based neural networks. Our dataset consists of a diverse set of bipartite states, including pure separable states, Werner entangled states, general entangled states, and maximally entangled states. We pretrain the transformer in an unsupervised fashion by masking elements of vectorized Hermitian matrix representations of quantum states, allowing the model to learn structural properties of quantum density matrices. This approach enables the model to generalize entanglement characteristics across different classes of states. Once trained, our method achieves near-perfect classification accuracy, effectively distinguishing between separable and entangled states. Compared to previous Machine Learning, our method successfully adapts transformers for quantum state analysis, demonstrating their ability to systematically identify entanglement in bipartite systems. These results highlight the potential of modern machine learning techniques in automating entanglement detection and classification, bridging the gap between quantum information theory and artificial intelligence.

Abstract:Entanglement is a fundamental feature of quantum mechanics, playing a crucial role in quantum information processing. However, classifying entangled states, particularly in the mixed-state regime, remains a challenging problem, especially as system dimensions increase. In this work, we focus on bipartite quantum states and present a data-driven approach to entanglement classification using transformer-based neural networks. Our dataset consists of a diverse set of bipartite states, including pure separable states, Werner entangled states, general entangled states, and maximally entangled states. We pretrain the transformer in an unsupervised fashion by masking elements of vectorized Hermitian matrix representations of quantum states, allowing the model to learn structural properties of quantum density matrices. This approach enables the model to generalize entanglement characteristics across different classes of states. Once trained, our method achieves near-perfect classification accuracy, effectively distinguishing between separable and entangled states. Compared to previous Machine Learning, our method successfully adapts transformers for quantum state analysis, demonstrating their ability to systematically identify entanglement in bipartite systems. These results highlight the potential of modern machine learning techniques in automating entanglement detection and classification, bridging the gap between quantum information theory and artificial intelligence.

Quantum Physics (quant-ph); Machine Learning (cs.LG)

arXiv:2502.21055 [quant-ph]

(or arXiv:2502.21055v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2502.21055 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1007/978-3-031-97570-7_15 Focus to learn more DOI(s) linking to related resources

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