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Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware.

Journal articles  - Journal Article
Lakhdar-Hamina, D; Liu, X; Barney, R; Miller, SH; Green, AM; Linke, NM; Galitski, V
Published in: Physical review letters
July 2026

We implement a quantum neural network on trapped-ion and IBM superconducting quantum computers for Modified National Institute of Standards image classification. Feedforward is realized through qubit rotations conditioned on measurement outcomes from previous layers. The network is trained classically, while inference is performed experimentally on quantum hardware. A tunable interpolation parameter connects the classical and quantum regimes. Moderate values improve classification performance by introducing measurement uncertainty. For borderline images misclassified classically but correctly identified quantum mechanically, we observe strong deviations from idealized simulations due to physical noise, consistent with fluctuations between nearby minima in the classification landscape. We further benchmark noise by inserting additional single- and two-qubit gate pairs into the circuits. Our results motivate more complex quantum neural networks on noisy intermediate-scale quantum devices and suggest a possible route toward classically nonsimulable architectures.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 2026

Volume

137

Issue

4

Start / End Page

040601

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Chicago
ICMJE
MLA
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Lakhdar-Hamina, D., Liu, X., Barney, R., Miller, S. H., Green, A. M., Linke, N. M., & Galitski, V. (2026). Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware. Physical Review Letters, 137(4), 040601. https://doi.org/10.1103/9bp2-42v3
Lakhdar-Hamina, Djamil, Xingxin Liu, Richard Barney, Sarah H. Miller, Alaina M. Green, Norbert M. Linke, and Victor Galitski. “Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware.Physical Review Letters 137, no. 4 (July 2026): 040601. https://doi.org/10.1103/9bp2-42v3.
Lakhdar-Hamina D, Liu X, Barney R, Miller SH, Green AM, Linke NM, et al. Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware. Physical review letters. 2026 Jul;137(4):040601.
Lakhdar-Hamina, Djamil, et al. “Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware.Physical Review Letters, vol. 137, no. 4, July 2026, p. 040601. Epmc, doi:10.1103/9bp2-42v3.
Lakhdar-Hamina D, Liu X, Barney R, Miller SH, Green AM, Linke NM, Galitski V. Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware. Physical review letters. 2026 Jul;137(4):040601.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 2026

Volume

137

Issue

4

Start / End Page

040601

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering