
It delivers a sample‑efficient solution for reliable entanglement detection, a cornerstone of long‑distance quantum communication. Reducing measurement requirements by orders of magnitude accelerates the rollout of practical quantum networks.
Multipartite entanglement lies at the heart of quantum communication, yet verifying it scales exponentially with the number of qubits. Traditional tomography demands massive measurement sets, making real‑world deployment costly and time‑consuming. Researchers therefore seek machine‑learning approaches that can infer entanglement from limited data, preserving accuracy while easing experimental overhead. This need has driven a surge in quantum‑aware deep‑learning models that balance expressive power with sample efficiency.
The study introduces a tailored CNN‑BiLSTM architecture that merges convolutional feature extraction with bidirectional sequential modeling. Two fusion strategies were explored: a flattening‑based pipeline (Architecture 1) and a dimensionality‑transforming approach (Architecture 2). Remarkably, Architecture 2 achieved over 90 % classification accuracy for both 3‑qubit and 4‑qubit states with just 100 training examples, and both designs exceeded 99.97 % accuracy when trained on 400 000 samples. Compared with standalone CNNs, BiLSTMs, and multilayer perceptrons, the hybrid consistently delivered higher precision in low‑data regimes, confirming the advantage of physics‑aware representation reshaping.
Beyond the immediate performance gains, this breakthrough lowers the barrier for scalable entanglement verification, a prerequisite for long‑distance quantum key distribution and distributed quantum computing. By slashing required measurements by four orders of magnitude, network operators can validate quantum channels faster and with fewer resources. Future work may extend the framework to mixed‑state entanglement, noisy environments, or larger qubit registers, potentially incorporating attention mechanisms or graph neural networks. The methodology also hints at broader applications, such as quantum control optimization and benchmarking variational algorithms, positioning sample‑efficient deep learning as a cornerstone of next‑generation quantum technologies.
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