A Multi-Classification Hybrid Quantum Neural Network Using an All-Qubit Multi-Observable Measurement Strategy
Open accessAbstract
Quantum machine learning is a promising application of quantum computing for data classification. However, most of the previous research focused on binary classification, and there are few studies on multi-classification. The major challenge comes from the limitations of near-term quantum devices on the number of qubits and the size of quantum circuits. In this paper, we propose a hybrid quantum neural network to implement multi-classification of a real-world dataset. We use an average pooling downsampling strategy to reduce the dimensionality of samples, and we design a ladder-like parameterized quantum circuit to disentangle the input states. Besides this, we adopt an all-qubit multi-observable measurement strategy to capture sufficient hidden information from the quantum system. The experimental results show that our algorithm outperforms the classical neural network and performs especially well on different multi-class datasets, which provides some enlightenment for the application of quantum computing to real-world data on near-term quantum processors.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Zeng et al. developed a Hybrid Quantum Neural Network using a full measurement strategy that achieved high accuracy in binary and multiclassification tasks.
“Zeng et al. developed a Hybrid Quantum Neural Network (HQNN) using a full measurement strategy, achieving high accuracy in binary and multiclassification tasks [20].”
From Medical image diagnosis based on adaptive Hybrid Quantum CNN (2023) · cites this paper as [20]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
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
Supervised learning with quantum-enhanced feature spaces
Havlíček, V., Córcoles, A. D., Temme, K., Harrow, A. W., Kandala, A., Chow, J. M., & Gambetta, J. M. (2019) · Nature · doi:10.1038/s41586-019-0980-2 · Cited by 2,572 · see citing works
Quantum Support Vector Machine for Big Data Classification
Rebentrost, P., Mohseni, M., & Lloyd, S. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.130503 · Cited by 1,951 · 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
Quantum Generative Adversarial Learning
Lloyd, S., & Weedbrook, C. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.040502 · Cited by 576 · see citing works
Quantum autoencoders for efficient compression of quantum data
Romero, J., Olson, J. P., & Aspuru-Guzik, A. (2017) · Quantum Science and Technology · doi:10.1088/2058-9565/aa8072 · Cited by 559 · see citing works
Layerwise learning for quantum neural networks
Skolik, A., McClean, J. R., Mohseni, M., van der Smagt, P., & Leib, M. (2021) · Quantum Machine Intelligence · doi:10.1007/s42484-020-00036-4 · Cited by 324 · see citing works
A quantum deep convolutional neural network for image recognition
Li, Y., Zhou, R.-G., Xu, R., Luo, J., & Hu, W. (2020) · Quantum Science and Technology · doi:10.1088/2058-9565/ab9f93 · Cited by 225 · see citing works
Romero, J., & Aspuru‐Guzik, A. (2021) · Advanced Quantum Technologies · doi:10.1002/qute.202000003 · Cited by 186 · see citing works
Learning and inference on generative adversarial quantum circuits
Zeng, J., Wu, Y., Liu, J.-G., Wang, L., & Hu, J. (2019) · Physical Review A · doi:10.1103/physreva.99.052306 · Cited by 94 · see citing works
Universal discriminative quantum neural networks
Chen, H., Wossnig, L., Severini, S., Neven, H., & Mohseni, M. (2021) · Quantum Machine Intelligence · doi:10.1007/s42484-020-00025-7 · Cited by 89 · see citing works
Flagged first, then by citations
Research works printed but not linked: 23
- [1]Feynman R.P. Simulating physics with computers Int. J. Theor. Phys. 1982 21 467 488 10.1007/BF02650179 · DOI · Paper page
- [4]Lamata L. Alvarez-Rodriguez U. Martín-Guerrero J.D. Sanz M. Solano E. Quantum autoencoders via quantum adders with genetic algorithms Quantum Sci. Technol. 2018 4 14007 10.1088/2058-9565/aae22b · DOI
- [5]Ding Y. Lamata L. Sanz M. Chen X. Solano E. Experimental implementation of a quantum autoencoder via quantum adders Adv. Quantum Technol. 2019 2 1800065 10.1002/qute.201800065 · DOI
- [6]Kieferová M. Wiebe N. Tomography and generative training with quantum Boltzmann machines Phys. Rev. A 2017 96 062327 10.1103/PhysRevA.96.062327 · DOI · Paper page
- [7]Jain S. Ziauddin J. Leonchyk P. Yenkanchi S. Geraci J. Quantum and classical machine learning for the classification of non-small-cell lung cancer patients SN Appl. Sci. 2020 2 1 10 10.1007/s42452-020-2847-4 · DOI
- [8]Dallaire-Demers P. Killoran N. Quantum generative adversarial networks Phys. Rev. A 2018 98 012324 10.1103/PhysRevA.98.012324 · DOI · Paper page
- [14]Mengoni R. di Pierro A. Kernel methods in quantum machine learning Quantum Mach. Intell. 2019 1 65 71 10.1007/s42484-019-00007-4 · DOI
- [15]Huang H. Broughton M. Mohseni M. Babbush R. Boixo S. Neven H. McClean J.R. Power of data in quantum machine learning Nat. Commun. 2021 12 3043 10.1038/s41467-021-22539-9 33976136 PMC8113501 · DOI · Paper page
- [17]Grant E. Benedetti M. Cao S. Hallam A. Lockhart J. Stojevic V. Green A.G. Severini S. Hierarchical quantum classifiers NPJ Quantum Inf. 2018 4 65 10.1038/s41534-018-0116-9 · DOI
- [20]Huggins W.A. Patil P.A. Mitchell B.A. Whaley K.A.B. Stoudenmire E.B.M. Towards quantum machine learning with tensor networks Quantum Sci. Technol. 2019 4 024001 10.1088/2058-9565/aaea94 · DOI
- [21]Farhi E. Neven H. Classification with quantum neural networks on near term processors arXiv 2018 1802.06002
- [23]Wilson C.M. Otterbach J.S. Tezak N. Smith R.S. Polloreno A.M. Karalekas P.J. Heidel S. Alam M.S. Crooks G.E. da Silva M.P. Quantum kitchen sinks: An algorithm for machine learning on near-term quantum computers arXiv 2018 1806.08321
- [24]Yang Z. Zhang X. Entanglement-based quantum deep learning New J. Phys. 2020 22 033041 10.1088/1367-2630/ab7598 · DOI
- [25]Li R.Y. Albash T. Lidar D.A. Limitations of error corrected quantum annealing in improving the performance of Boltzmann machines Quantum Sci. Technol. 2020 5 45010 10.1088/2058-9565/ab9aab · DOI
- [26]Wu R. Cao X. Xie P. Liu Y. End-to-end quantum machine learning implemented with controlled quantum dynamics arXiv 2020 2003.13658 10.1103/PhysRevApplied.14.064020 · DOI
- [29]Rossi R.A. Ahmed N.K. The Network Data Repository with Interactive Graph Analytics and Visualization Proceedings of the 29th AAAI Conference on Artificial Intelligence 2015 Austin, TX, USA 25–30 January 2015
- [30]Abadi M. Barham P. Chen J. Chen Z. Davis A. Dean J. Devin M. Ghemawat S. Irving G. Isard M. TensorFlow: A System for Large-Scale Machine Learning arXiv 2016 1605.08695
- [31]Jiang W. Xiong J. Shi Y. A co-design framework of neural networks and quantum circuits towards quantum advantage Nat. Commun. 2021 12 579 10.1038/s41467-020-20729-5 33495480 PMC7835384 · DOI · Paper page
- [33]Mitarai K. Negoro M. Kitagawa M. Fujii K. Quantum Circuit Learning Phys. Rev. A 2018 98 032309 10.1103/PhysRevA.98.032309 · DOI · Paper page
- [34]Broughton M. Verdon G. McCourt T. Martinez A.J. Yoo J.H. Isakov S.V. Massey P. Halavati R. Niu M.Y. Zlokapa A. TensorFlow Quantum: A Software Framework for Quantum Machine Learning arXiv 2020 2003.02989
- [35]Kingma D. Ba J. Adam: A method for stochastic optimization Proceedings of the International Conference Learn, Represent, (ICLR) San Diego, CA, USA 5–8 May 2015
- [37]Fisher R.A. The use of multiple measurements in taxonomic problems Ann. Eugen. 1936 7 179 188 10.1111/j.1469-1809.1936.tb02137.x · DOI
- [38]Forina M. Leardi R. Armanino C. Lanteri S. PARVUS: An Extendible Package for Data Exploration, Classification and Correlation Elsevier Amsterdam, The Netherlands 1990
Cited by
Sorted by citations
Medical image diagnosis based on adaptive Hybrid Quantum CNN
Ajlouni, N., Özyavaş, A., Takaoğlu, M., Takaoğlu, F., & Ajlouni, F. (2023) · BMC Medical Imaging · doi:10.1186/s12880-023-01084-5 · Cited by 97 · see citing works
- Authors
- Zeng, Y., Wang, H., He, J., Huang, Q., & Chang, S.
- Affiliations
- Wuhan University (CN)
- Corresponding author
- Chang, Sheng
- Venue
- Entropy
- Publisher
- MDPI AG
- Published
- 2022-03-11
- Volume
- 24
- Issue
- 3
- Pages
- 394
- ISSN
- 1099-4300 (ISSN-L)
- PMC
- PMC8947049
- OpenAlex
- W4220710689
- Cited by
- 45
- References
- 11
- Citations by year
- 2026: 9 · 2025: 13 · 2024: 9 · 2023: 13 · 2022: 1
- FWCI
- 2.96
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Entropy (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Natural Science Foundation of China (61874079, 62074116, 81971702, 61774113)
- Luojia Young Scholars Program (None)
- 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
- hybrid quantum neural networks, multi-class classification, quantum machine learning, dimensionality reduction
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review