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TensorHyper-VQC: a tensor-train-guided hypernetwork for robust and scalable variational quantum computing

delete2026-02-21
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OA
AI
J
Jun Qi
C
Chao-Han Huck Yang
P
Pin‐Yu Chen
M
Min-Hsiu Hsieh *
DOI:10.1038/s41534-025-01157-zdelete
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Abstract

Abstract

En 中文
Variational Quantum Computing (VQC) faces fundamental scalability barriers, primarily due to the presence of barren plateaus and its sensitivity to quantum noise. To address these challenges, we introduce TensorHyper-VQC, a novel tensor-train (TT)-guided hypernetwork framework that significantly improves the robustness and scalability of VQC. Our framework fully delegates the generation of quantum circuit parameters to a classical TT network, effectively decoupling optimization from quantum hardware. This innovative parameterization mitigates gradient vanishing, enhances noise resilience through structured low-rank representations, and facilitates efficient gradient propagation. Grounded in Neural Tangent Kernel and statistical learning theory, our rigorous theoretical analyses establish strong guarantees on approximation capability, optimization stability, and generalization performance. Extensive empirical results across quantum dot classification, Max-Cut optimization, and molecular quantum simulation tasks demonstrate that TensorHyper-VQC consistently achieves superior performance and robust noise tolerance, including hardware-level validation on a 156-qubit IBM Heron processor. These results position TensorHyper-VQC as a scalable and noise-resilient framework for advancing practical quantum machine learning on near-term devices.

Journal

npj Quantum Information cover
npj Quantum Information
IF:
8.3
Papers:
1.4K
Citations:
8.1K

Organization

F
foxconn
Scholars:
97
Papers: 88
Citations: 0
I
ibm
Scholars:
126
Papers: 40
Citations: 0
E
electrical and computer engineering
Scholars:
265
Papers: 148
Citations: 0
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Cited Papers

Cited Papers

Barren plateaus in quantum tensor network optimization
err2023-04-13
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errOAAI
errEnrique Cervero Martín; Kirill Plekhanov; Michael Lubasch
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Barren plateaus in quantum neural network training landscapes
err2018-11-16
err1.1K
errOAAI
errMcClean, Jarrod R.; Boixo, Sergio; Smelyanskiy, Vadim N.; Babbush, Ryan; Neven, Hartmut
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Machine learning techniques for state recognition and auto-tuning in quantum dots
err2019-01-21
err73
errOAAI
errKalantre, Sandesh S.; Zwolak, Justyna P.; Ragole, Stephen; Wu, Xingyao; Zimmerman, Neil M.; Stewart, M. D., Jr.; Taylor, Jacob M.
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
err2017-09-14
err0
errOAAI
errAbhinav Kandala; Antonio Mezzacapo; Kristan Temme; Maika Takita; Markus Brink; Jerry M. Chow; Jay M. Gambetta
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Zero-noise extrapolation for quantum-gate error mitigation with identity insertions
err2020-07-29
err0
errOAAI
errAndre He; Benjamin Nachman; Wibe A. de Jong; Christian W. Bauer
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Quantum approximate optimization algorithm for MaxCut: A fermionic view
err2018-02-05
err0
errOAAI
errZhihui Wang; Stuart Hadfield; Zhang Jiang; Eleanor G. Rieffel
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Trainability of Dissipative Perceptron-Based Quantum Neural Networks
err2022-05-06
err0
errOAAI
errKunal Sharma; M. Cerezo; Lukasz Cincio; Patrick J. Coles
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
err2021-12-17
err0
errOAAI
errJ. Ignacio Cirac; David Pérez-García; Norbert Schuch; Frank Verstraete
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