Quantum Neural Network for Quantum Neural Computing
Open accessAbstract
Neural networks have achieved impressive breakthroughs in both industry and academia. How to effectively develop neural networks on quantum computing devices is a challenging open problem. Here, we propose a new quantum neural network model for quantum neural computing using (classically controlled) single-qubit operations and measurements on real-world quantum systems with naturally occurring environment-induced decoherence, which greatly reduces the difficulties of physical implementations. Our model circumvents the problem that the state-space size grows exponentially with the number of neurons, thereby greatly reducing memory requirements and allowing for fast optimization with traditional optimization algorithms. We benchmark our model for handwritten digit recognition and other nonlinear classification tasks. The results show that our model has an amazing nonlinear classification ability and robustness to noise. Furthermore, our model allows quantum computing to be applied in a wider context and inspires the earlier development of a quantum neural computer than standard quantum computers.
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Quantum neural networks and tensor-network architectures emulate contextuality, interference, and superposition-like representational richness.
“Quantum neural networks and tensor-network architectures emulate contextuality, interference, and superposition-like representational richness [8,23].”
From Quantum-Inspired and Non-Classical Approaches to Consciousness: Models, Evidence and Constraints (2026) · cites this paper as [23]
The Results section (“Quantumness of quantum neurons”; page unavailable) says the proposed quantum neural network can develop quantum correlations and can be represented by a circuit generating entanglement. That supports quantum representational richness in a broad sense, but the passages do not establish contextuality, interference, superposition-like representation, or a claim about tensor-network architectures. (LLM, conf=0.83)
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Cites
ImageNet classification with deep convolutional neural networks
Krizhevsky, A., Sutskever, I., & Hinton, G. E. (2017) · Communications of the ACM · doi:10.1145/3065386 · Cited by 112,155 · see citing works
Hochreiter, S., & Schmidhuber, J. (1997) · Neural Computation · doi:10.1162/neco.1997.9.8.1735 · Cited by 102,318 · see citing works
Adam: A Method for Stochastic Optimization
Kingma, D. P., & Ba, J. (2014) · arXiv · doi:10.48550/arxiv.1412.6980 · Cited by 98,946 · see citing works
Gradient-based learning applied to document recognition
Lecun, Y., Bottou, L., Bengio, Y., & Haffner, P. (1998) · Proceedings of the IEEE · doi:10.1109/5.726791 · Cited by 58,805 · see citing works
Language Models are Few-Shot Learners
Brown, T. B., Mann, B., Ryder, N., Subbiah, M., Kaplan, J., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., et al. (2020) · arXiv · doi:10.48550/arxiv.2005.14165 · Cited by 23,372 · see citing works
<i>Quantum Computation and Quantum Information</i>
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895 · see citing works
Labaca-Castro, R. (2023) · Springer eBooks · doi:10.1007/978-3-658-40442-0_9 · Cited by 21,100 · see citing works
Kaugeranna, R., Kaugeranna, E., & Aion, (. S. 4. 6. (2023) · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) · doi:10.4230/lipics.giscience.2023.43 · Cited by 13,695 · see citing works
Machine learning: Trends, perspectives, and prospects
Jordan, M. I., & Mitchell, T. M. (2015) · Science · doi:10.1126/science.aaa8415 · Cited by 9,955 · see citing works
The graph neural network model
Scarselli, F., Gori, M., Tsoi, A. C., Hagenbuchner, M., & Monfardini, G. (2009) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2008.2005605 · Cited by 9,582 · see citing works
Quantum Computing in the NISQ era and beyond
Preskill, J. (2018) · Quantum · doi:10.22331/q-2018-08-06-79 · Cited by 8,830 · see citing works
(2010) · Cited by 8,261 · see citing works
Quantum supremacy using a programmable superconducting processor
Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J. C., Barends, R., Biswas, R., Boixo, S., Brandao, F. G. S. L., Buell, D. A., et al. (2019) · Nature · doi:10.1038/s41586-019-1666-5 · Cited by 7,720 · see citing works
Self-citationA single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · cited 1× · see citing works
“Because no neuron can perfectly copy its quantum state in multiple duplicates as an output to the next layer due to the quantum no-cloning theorem [39], the output is not perfectly shared by neurons in the next layer.”
BackgroundBiamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., & Lloyd, S. (2017) · Nature · doi:10.1038/nature23474 · Cited by 4,779 · see citing works
Quantum Discord: A Measure of the Quantumness of Correlations
Ollivier, H., & Zurek, W. H. (2001) · Physical Review Letters · doi:10.1103/physrevlett.88.017901 · Cited by 3,616 · see citing works
Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., & O’Brien, J. L. (2010) · Nature · doi:10.1038/nature08812 · Cited by 3,592 · see citing works
The chips are down for Moore’s law
Waldrop, M. M. (2016) · Nature · doi:10.1038/530144a · Cited by 2,397 · see citing works
Barren plateaus in quantum neural network training landscapes
McClean, J. R., Boixo, S., Smelyanskiy, V. N., Babbush, R., & Neven, H. (2018) · Nature Communications · doi:10.1038/s41467-018-07090-4 · Cited by 2,329 · see citing works
Superconducting quantum circuits at the surface code threshold for fault tolerance
Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T. C., Mutus, J., Fowler, A. G., Campbell, B., et al. (2014) · Nature · doi:10.1038/nature13171 · Cited by 1,733 · see citing works
Self-citationMitarai, K., Negoro, M., Kitagawa, M., & Fujii, K. (2018) · Physical Review A · doi:10.1103/physreva.98.032309 · Cited by 1,639 · see citing works
Superconducting Qubits: Current State of Play
Kjaergaard, M., Schwartz, M. E., Braumüller, J., Krantz, P., Wang, J. I.-J., Gustavsson, S., & Oliver, W. D. (2020) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031119-050605 · Cited by 1,544 · see citing works
Fuzzy logic, neural networks, and soft computing
Zadeh, L. A. (1994) · Communications of the ACM · doi:10.1145/175247.175255 · Cited by 1,541 · see citing works
Quantum convolutional neural networks
Cong, I., Choi, S., & Lukin, M. D. (2019) · Nature Physics · doi:10.1038/s41567-019-0648-8 · Cited by 1,517 · see citing works
Necessary and Sufficient Condition for Nonzero Quantum Discord
Dakić, B., Vedral, V., & Brukner, Č. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.190502 · Cited by 1,190 · see citing works
Superconducting Qubits: Current State of PlayPreprint
Kjærgaard, M., Schwartz, M. E., Braumüller, J., Krantz, P., Wang, J. I.-J., Gustavsson, S., & Oliver, W. D. (2020) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 1,182 · see citing works
Circuit-centric quantum classifiers
Schuld, M., Bocharov, A., Svore, K. M., & Wiebe, N. (2020) · Physical Review A · doi:10.1103/physreva.101.032308 · Cited by 1,057 · see citing works
Classification with Quantum Neural Networks on Near Term Processors
Farhi, E., & Neven, H. (2020) · doi:10.37686/qrl.v1i2.80 · Cited by 909 · see citing works
Effect of data encoding on the expressive power of variational quantum-machine-learning models
Schuld, M., Sweke, R., & Meyer, J. J. (2021) · Physical Review A · doi:10.1103/physreva.103.032430 · Cited by 739 · see citing works
Training deep quantum neural networks
Beer, K., Bondarenko, D., Farrelly, T., Osborne, T. J., Salzmann, R., Scheiermann, D., & Wolf, R. (2020) · Nature Communications · doi:10.1038/s41467-020-14454-2 · Cited by 726 · see citing works
The quest for a Quantum Neural Network
Schuld, M., Sinayskiy, I., & Petruccione, F. (2014) · Quantum Information Processing · doi:10.1007/s11128-014-0809-8 · Cited by 671 · see citing works
Classification with Quantum Neural Networks on Near Term Processors
Farhi, E., & Neven, H. (2018) · arXiv · doi:10.48550/arxiv.1802.06002 · Cited by 598
Quantum advantage in learning from experiments
Huang, H.-Y., Broughton, M., Cotler, J., Chen, S., Li, J., Mohseni, M., Neven, H., Babbush, R., Kueng, R., Preskill, J., et al. (2022) · Science · doi:10.1126/science.abn7293 · Cited by 519 · see citing works
Quantum generalisation of feedforward neural networks
Wan, K. H., Dahlsten, O., Kristjánsson, H., Gardner, R., & Kim, M. S. (2017) · npj Quantum Information · doi:10.1038/s41534-017-0032-4 · Cited by 276 · see citing works
A system hierarchy for brain-inspired computing
Zhang, Y., Qu, P., Ji, Y., Zhang, W., Gao, G. R., Wang, G., Song, S., Li, G., Chen, W., Zheng, W., et al. (2020) · Nature · doi:10.1038/s41586-020-2782-y · Cited by 214 · see citing works
Behavior of Quantum Correlations under Local Noise
Streltsov, A., Kampermann, H., & Bruß, D. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.170502 · Cited by 189 · see citing works
Trainability of Dissipative Perceptron-Based Quantum Neural Networks
Sharma, K., Cerezo, M., Cincio, Ł., & Coles, P. J. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.180505 · Cited by 177 · see citing works
Quantum Autoencoders to Denoise Quantum Data
Bondarenko, D., & Feldmann, P. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.130502 · Cited by 115 · see citing works
Herrmann, J., Masot-Llima, S., Remm, A., Zapletal, P., McMahon, N. A., Scarato, C., Swiadek, F., Andersen, C. K., Hellings, C., Krinner, S., et al. (2022) · Nature Communications · doi:10.1038/s41467-022-31679-5 · Cited by 114 · see citing works
Creating quantum correlations through local nonunitary memoryless channels
Ciccarello, F., & Giovannetti, V. (2012) · Physical Review A · doi:10.1103/physreva.85.010102 · Cited by 103 · see citing works
Unitary quantum perceptron as efficient universal approximator
Torrontegui, E., & García-Ripoll, J. J. (2019) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/125/30004 · Cited by 102 · see citing works
Quantum perceptron over a field and neural network architecture selection in a quantum computer
da Silva, A. J., Ludermir, T. B., & de Oliveira, W. R. (2016) · Neural Networks · doi:10.1016/j.neunet.2016.01.002 · Cited by 101 · see citing works
A co-design framework of neural networks and quantum circuits towards quantum advantage
Jiang, W., Xiong, J., & Shi, Y. (2021) · Nature Communications · doi:10.1038/s41467-020-20729-5 · Cited by 63 · see citing works
Experimental Generation of Quantum Discord via Noisy Processes
Lanyon, B. P., Jurcevic, P., Hempel, C., Gessner, M., Vedral, V., Blatt, R., & Roos, C. F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.100504 · Cited by 59 · see citing works
Artificial Intelligence and Soft Computing
Amit, K. (2018) · CRC Press eBooks · doi:10.1201/9781315219738 · Cited by 58 · see citing works
A co-design framework of neural networks and quantum circuits towards quantum advantage
Jiang, W., Xiong, J., & Shi, Y. (2021) · RePEc: Research Papers in Economics · Cited by 54 · see citing works
Experimental Quantum Advantage with Quantum Coupon Collector
Zhou, M.-G., Cao, X., Lu, Y.-S., Wang, Y., Bao, Y., Jia, Z.-Y., Fu, Y., Yin, H., & Chen, Z. (2022) · Research · doi:10.34133/2022/9798679 · Cited by 43 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 4
- [6]Goodfellow I, Bengio Y, Courville A. Deep learning. Cambridge (MA): MIT Press; 2016.
- [7]Nielsen MA. Neural networks and deep learning. San Francisco (CA): Determination Press; 2015. vol. 25.
- [9]Bishop CM, Nasrabadi NM. Pattern recognition and machine learning. New York: Springer; 2006. vol. 4.
- [42]Tieleman T, Hinton G. Lecture 6.5-rmsprop: Divide the gradient by a running average of its recent magnitude. COURSERA: Neural networks for machine learning. 2012;4:26–31.
Cited by
Sorted by citations
Training of physical neural networks
Momeni, A., Rahmani, B., Scellier, B., Wright, L. G., McMahon, P. L., Wanjura, C. C., Li, Y., Skalli, A., Berloff, N. G., Onodera, T., et al. (2025) · Nature · doi:10.1038/s41586-025-09384-2 · Cited by 104 · see citing works
A Systematic Review on Deep-Learning-Based Phishing Email Detection
Thakur, K., Ali, M. L., Obaidat, M. A., & Kamruzzaman, A. (2023) · Electronics · doi:10.3390/electronics12214545 · Cited by 83 · see citing works
Quantum K‐Nearest Neighbor Classification Algorithm via a Divide‐and‐Conquer Strategy
Gong, L., Ding, W., Li, Z., Wang, Y., & Zhou, N. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202300221 · Cited by 70 · see citing works
Deep Learning Techniques for Web-Based Attack Detection in Industry 5.0: A Novel Approach
Salam, A., Ullah, F., Amin, F., & Abrar, M. Y. B. T. (2023) · Technologies · doi:10.3390/technologies11040107 · Cited by 62 · see citing works
Exploring Types of Photonic Neural Networks for Imaging and Computing—A Review
Khonina, S. N., Kazanskiy, N. L., Skidanov, R. V., & Butt, M. A. (2024) · Nanomaterials · doi:10.3390/nano14080697 · Cited by 50 · see citing works
Noor, K., Imoize, A. L., Li, C., & Weng, C.-Y. (2025) · Mathematics · doi:10.3390/math13071088 · Cited by 45 · see citing works
Self-citationDesign and analysis of quantum machine learning: a survey
Chen, L., Li, T., Chen, Y., Chen, X., Woźniak, M., Xiong, N. N., & Liang, W. (2024) · Connection Science · doi:10.1080/09540091.2024.2312121 · Cited by 38 · see citing works
Quantum Natural Language Processing: A Comprehensive Survey
Moudina, C. V., Fendji, J. L. E. K., Schöning, J., & Atemkeng, M. (2024) · IEEE Access · doi:10.1109/access.2024.3420707 · Cited by 25 · see citing works
Anand, K., Jain, B., Mittal, H., & Yadav, V. K. (2024) · Applied Intelligence · doi:10.1007/s10489-024-05990-1 · Cited by 23 · see citing works
Dong, C., Zhou, J., An, A., Jiang, F., Chen, S., Pan, L., & Liu, X. (2023) · Drones · doi:10.3390/drones7070413 · Cited by 22 · see citing works
Sha, M. (2023) · IET Quantum Communication · doi:10.1049/qtc2.12078 · Cited by 18 · see citing works
QClusformer: A Quantum Transformer-based Framework for Unsupervised Visual Clustering
Nguyen, X.-B., Nguyen, H.-Q., Chen, S. Y.-C., Khan, S. U., Churchill, H., & Luu, K. (2024) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce60285.2024.10304 · Cited by 18 · see citing works
Castillo-Rojas, W., Medina-Quispe, F., & Hernández, G. (2023) · Energies · doi:10.3390/en16135093 · Cited by 17 · see citing works
VIOLET: Visual Analytics for Explainable Quantum Neural Networks
Ruan, S., Liang, Z., Guan, Q., Griffin, P., Wen, X., Lin, Y., & Wang, Y. (2024) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2024.3388557 · Cited by 12 · see citing works
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Liu, Z., & Bărbulescu, A. (2025) · Applied Sciences · doi:10.3390/app15084119 · Cited by 11 · see citing works
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Bao, C., Wu, Q., Ji, W., Wang, M., & Wang, H. (2024) · Journal of King Saud University - Computer and Information Sciences · doi:10.1016/j.jksuci.2024.102224 · Cited by 11 · see citing works
She, T., Shao, H., Deng, X., & Jiang, Y. (2025) · Applied Acoustics · doi:10.1016/j.apacoust.2024.110527 · Cited by 10 · see citing works
QViLa: Quantum Infused Vision-Language Model for Enhanced Multimodal Understanding
Mukesh, K., Jayaprakash, S. L., & Kumar, R. P. (2024) · SN Computer Science · doi:10.1007/s42979-024-03398-9 · Cited by 9 · see citing works
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Kotb, A., Zoiros, K. E., & Chen, W. (2025) · Photonics · doi:10.3390/photonics12030179 · Cited by 9 · see citing works
Exploring quantum neural networks for binary classification on MNIST dataset: A swap test approach
Chen, K., Liu, J., & Yan, F. (2025) · Neural Networks · doi:10.1016/j.neunet.2025.107442 · Cited by 9 · see citing works
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Li, R., Li, R., Ma, J., Li, D., Wu, Y., Qian, C., Zhang, L., Chen, H., & Kottos, T. (2024) · Research · doi:10.34133/research.0375 · Cited by 8 · see citing works
Quantum algorithm for bioinformatics to compute the similarity between proteins
Chagneau, A., Massaoudi, Y., Derbali, I., & Yahiaoui, L. (2024) · IET Quantum Communication · doi:10.1049/qtc2.12098 · Cited by 8 · see citing works
QENN: breast cancer prediction using quantum-enhanced neural network
Dixit, V., & Rajkumar, K. (2025) · The Journal of Supercomputing · doi:10.1007/s11227-025-07331-6 · Cited by 7 · see citing works
Quantum-enhanced blockchain federated learning via quantum Byzantine agreement
Liu, H., Liu, Z., Yin, H., & Chen, Z. (2025) · Science China Information Sciences · doi:10.1007/s11432-025-4471-7 · Cited by 7 · see citing works
Self-citationRecent progress towards large-scale integrated photonic quantum computation
zhu, H., Chen, T., Ma, H., Zhao, Z., Jia, G. U. O., Liang, Q., Tu, Y., He, T., Luo, W., Wang, B., et al. (2026) · npj Nanophotonics · doi:10.1038/s44310-026-00114-8 · Cited by 8 · see citing works
Chen, J., Wang, B., He, S., Xing, Q., Su, X., Liu, W., & Gao, G. (2023) · Electronics · doi:10.3390/electronics12163525 · Cited by 7 · see citing works
Short-Term Natural Gas and Carbon Price Forecasting Using Artificial Neural Networks
Böhm, L., Kolb, S., Plankenbühler, T., Miederer, J., Markthaler, S., & Karl, J. (2023) · Energies · doi:10.3390/en16186643 · Cited by 7 · see citing works
Zhang, A., Bao, C., Zhu, Z., & Ji, W. (2025) · Computational Materials Science · doi:10.1016/j.commatsci.2025.113950 · Cited by 5 · see citing works
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Seol, J., Kim, H.-Y., Kancharla, A., & Kim, J. (2024) · Information · doi:10.3390/info15110727 · Cited by 8 · see citing works
Xu, H.-Z., Chai, X., Hu, M., Wang, Z., Feng, Y.-L., Chen, Y., Zhang, X., Wang, J., Zhuang, W.-F., Jin, Y., et al. (2025) · Research · doi:10.34133/research.0947 · Cited by 4 · see citing works
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Hua, W.-J., Xiao, Y.-R., Bao, Y., Yin, H., & Chen, Z. (2025) · Research · doi:10.34133/research.1034 · Cited by 4 · see citing works
Self-citationPalanivel, R., & Muthulakshmi, P. (2024) · Quantum Information Processing · doi:10.1007/s11128-024-04342-9 · Cited by 4 · see citing works
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Singh, U., Goldberg, A. Z., & Heshami, K. (2024) · Quantum Machine Intelligence · doi:10.1007/s42484-024-00222-8 · Cited by 5 · see citing works
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Self-citationHao, C., Ma, Q., Si, N., Liu, B., & Qu, D. (2025) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-025-00391-w · Cited by 2 · see citing works
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“Quantum neural networks (QNNs) incorporate the principles of superposition, entanglement, and interference into computational architectures designed to capture forms of reasoning and adaptation that defy classical formalisms [23].”
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Namazi, H., Arvindhan, M., Chytilova, H., & Krejcar, O. (2026) · Advanced Quantum Technologies · doi:10.1002/qute.70327 · Cited by 1 · see citing works
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Fan, J., Qian, C., & Zhou, S. (2024) · Research · doi:10.34133/research.0510 · Cited by 1 · see citing works
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Gómez, F. S., Sampaio, P. N. M., Peralta, L. M. R., Cuesta, F., & Nunes, É. D. O. (2025) · Lecture notes in networks and systems · doi:10.1007/978-3-031-93106-2_24 · Cited by 1 · see citing works
An anti-aliasing filtering of quantum images in spatial domain using a pyramid structure
吴, K. 凯. W., 周, R. 日. Z., & 罗, J. 佳. L. (2024) · Chinese Physics B · doi:10.1088/1674-1056/ad2504
Li, Y., Fei, Y., Wang, W., Meng, X., Wang, H., Duan, Q.-H., Han, Y., & Ma, Z. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202400334
Innovative Applications of Quantum Signal Processing in Network Security and Image Processing
He, J., Qi, Z., Zhang, L., & Wang, Z. (2024) · SPIN · doi:10.1142/s201032472440006x
Seyfipoor, M., Zafarqandi, M. J. S., & Mohammadi, S. (2025) · International Computer Conference, Computer Society of Iran (CSICC) · doi:10.1109/csicc65765.2025.10967421
Smitha, Sharma, Y. K., Vadlamudi, M. N., & Arya, L. (2025) · doi:10.1002/9781394335718.ch17
Ganesh, K. S., Shunmugasundaram, M., Sundari, V. M., Gangadharan, S., & Kannan, G. (2025) · International Journal of Computational Intelligence and Applications · doi:10.1142/s1469026825500063
Quantum Image Representations based Quantum Neural Networks for Binary ClassificationPreprint
Tiwari, A., Siyanwal, S., Sakhuja, S., Kumar, S., & Tyagi, P. (2025) · Research Square · doi:10.21203/rs.3.rs-7621070/v1
The Evolution Journey: From Basic Operations to Autonomous Intelligent Networks
McDonald, S., & Ngo, M. D. K. (2025) · Springer eBooks · doi:10.1007/978-981-95-0533-3_15
Barua, S., Dipu, D. D., & Broti, T. (2025) · IEEE India Council International Subsections Conference (INDISCON) · doi:10.1109/indiscon66021.2025.11252366
Ding, X., Wang, Y., Dang, H., Di, S., & Zhang, S. (2025) · Physica Scripta · doi:10.1088/1402-4896/ae26e8
Harnessing Quantum Machine Learning Techniques for Enhancing Crop Productivity
Sathya, S., & Ramasamy, M. (2026) · Lecture notes in networks and systems · doi:10.1007/978-981-96-9048-0_42
Quantum algorithms for genomic analysis in systems biology
Roosan, D., Khan, H. M., & Khan, R. I. (2026) · Elsevier eBooks · doi:10.1016/b978-0-443-34193-9.00002-8
Tang, Y., Cai, Z., Zhang, Y., Gao, Z., & Yu, J. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05085-5
Assessing the advantages and limitations of quantum neural networks in regression tasks
de Lima, G. G., Farias, T. D. S., Ricardo, A. C., & Villas-Bôas, C. J. (2026) · Quantum Machine Intelligence · doi:10.1007/s42484-026-00370-z
Yang, J., Cai, Q., Guo, J., & Deng, G. (2026) · Acta Physica Sinica · doi:10.7498/aps.75.20251792
Quantum Neural Network with Adaptive PID Control for DC Motor
Teng, H.-Y., Hsu, K.-C., & Hung, L.-C. (2025) · International Conference on Orange Technology (ICOT) · doi:10.1109/icot68409.2025.11425129
Evaluating Photonic Quantum Memristors in Noisy Environments
Wang, J., Mao, W., Yang, T., Zhang, Q., & Li, W. (2026) · Entropy · doi:10.3390/e28050507
Beyond correlation: causal learning for open-set single-source RF fingerprinting in dynamic IoT
Zhang, X., Huang, Q., Ji, X., Shi, L., Li, K., & Hu, G. (2026) · Internet of Things · doi:10.1016/j.iot.2026.101977
Chen, H., Deng, S., Chen, T., & Zhang, X. (2026) · Research · doi:10.34133/research.1345
Assessing the efficacy of quantum ML: QSVM and QNN on IBM simulators
Yadav, V., Sheoran, S. K., & Sheoran, R. K. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05270-6
QuSquare: scalable quality-oriented benchmark suite for pre-fault-tolerant quantum devices
Aguirre, D., Peña, R., & Sanz, M. (2026) · Quantum Science and Technology · doi:10.1088/2058-9565/ae917c
Natanael, N., Sugiarto, H. S., & Tjandra, Y. (2026) · Journal of Computing Theories and Applications · doi:10.62411/jcta.17214
NAVQNN: Noise-Aware adaptive variational quantum neural network framework for NISQ devices
Rakesh, B. (2026) · ARPN Journal of Engineering and Applied Sciences · doi:10.59018/062686
HD-EQNN: High-dimensional Ensemble Quantum Neural Network for Multi-class UAV Signal Recognition
Wang, W., Wang, H., Zhou, X., Chen, Y., Hou, Y., & Xu, J. (2026) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn69854.2026.11728909
Lv, B., Wang, S., Sheheryar, T., & Tao, H. (2026) · Physics Letters A · doi:10.1016/j.physleta.2026.132300
- Authors
- Zhou, M.-G., Liu, Z.-P., Yin, H.-L., Li, C.-L., Xu, T.-K., & Chen, Z.-B.
- Affiliations
- Collaborative Innovation Center of Advanced Microstructures (CN)
- National Laboratory of Solid State Microstructures, School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China.
- Corresponding author
- Chen, Zeng-Bing
- Venue
- Research
- Published
- 2023-01
- Volume
- 6
- Pages
- 0134-0134
- ISSN
- 2639-5274 (ISSN-L)
- PMC
- PMC10202373
- OpenAlex
- W4365504435
- Cited by
- 79
- References
- 45
- Citations by year
- 2026: 19 · 2025: 29 · 2024: 24 · 2023: 7
- FWCI
- 7.45
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Research (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University) (cc-by)
- Funders
- National Natural Science Foundation of China (12274223)
- Government of Jiangsu Province
- Natural Science Foundation of Jiangsu Province (020414380182, BK20211145, ZDYD20210101)
- Fundamental Research Funds for the Central Universities (020414380182)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum neural networks, single-qubit operations, quantum measurement, environmental decoherence, state space size, memory requirements, nonlinear classification, handwritten digit recognition, noise robustness
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