The DOI matches its Crossref record; 78 of the 79 references it cites were found in a registry or an index.
A quantum deep convolutional neural network for image recognition
Abstract
Deep learning achieves unprecedented success involves many fields, whereas the high requirement of memory and time efficiency tolerance have been the intractable challenges for a long time. On the other hand, quantum computing shows its superiorities in some computation problems owing to its intrinsic properties of superposition and entanglement, which may provide a new path to settle these issues. In this paper, a quantum deep convolutional neural network (QDCNN) model based on the quantum parameterized circuit for image recognition is investigated. In analogy to the classical deep convolutional neural network (DCNN), the architecture that a sequence of quantum convolutional layers followed by a quantum classified layer is illustrated. Inspired by the variational quantum algorithms, a quantum–classical hybrid training scheme is demonstrated for the parameter updating in the QDCNN. The network complexity analysis indicates the proposed model provides the exponential acceleration comparing with the classical counterpart. Furthermore, the MNIST and GTSRB datasets are employed to numerical simulation and the quantitative experimental results verify the feasibility and validity.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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?
In the citing paper
“Li et al. introduced a Quantum Deep Convolutional Neural Network (QDCNN) that demonstrated exponential computational acceleration [33].”
From Medical image diagnosis based on adaptive Hybrid Quantum CNN (2023) · cites this paper as [33]
Citations
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
Adam: A Method for Stochastic Optimization
Kingma, D. P., & Ba, J. (2014) · arXiv · doi:10.48550/arxiv.1412.6980 · Cited by 98,946
LeCun, Y., Bengio, Y., & Hinton, G. (2015) · Nature · doi:10.1038/nature14539 · Cited by 84,126
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
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,450
Quantum Computing in the NISQ era and beyond
Preskill, J. (2018) · Quantum · doi:10.22331/q-2018-08-06-79 · Cited by 8,830
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
Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
Recent advances in convolutional neural networks
Gu, J., Wang, Z., Kuen, J., Ma, L., Shahroudy, A., Shuai, B., Liu, T., Wang, X., Wang, G., Cai, J., et al. (2018) · Pattern Recognition · doi:10.1016/j.patcog.2017.10.013 · Cited by 6,576
Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., & Lloyd, S. (2017) · Nature · doi:10.1038/nature23474 · Cited by 4,779
Quantum theory, the Church–Turing principle and the universal quantum computer
Deutsch, D. (1985) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1985.0070 · Cited by 4,597 · cited 1×
“Since David Deutsch formalized the quantum Turing machine theory [2] in 1985, a large number of quantum algorithms [3] have been proposed over past decades.”
BackgroundA variational eigenvalue solver on a photonic quantum processor
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P. J., Aspuru-Guzik, A., & O’Brien, J. L. (2014) · Nature Communications · doi:10.1038/ncomms5213 · Cited by 4,552
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
The theory of variational hybrid quantum-classical algorithms
McClean, J. R., Romero, J., Babbush, R., & Aspuru-Guzik, A. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/2/023023 · Cited by 2,227
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
Man vs. computer: Benchmarking machine learning algorithms for traffic sign recognition
Stallkamp, J., Schlipsing, M., Salmen, J., & Igel, C. (2012) · Neural Networks · doi:10.1016/j.neunet.2012.02.016 · Cited by 1,904
Quantum amplitude amplification and estimation
Brassard, G., Høyer, P., Mosca, M., & Tapp, A. (2002) · Contemporary Mathematics · doi:10.1090/conm/305/05215 · Cited by 1,680
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
Quantum principal component analysis
Lloyd, S., Mohseni, M., & Rebentrost, P. (2014) · Nature Physics · doi:10.1038/nphys3029 · Cited by 1,385
Classification with Quantum Neural Networks on Near Term Processors
Farhi, E., & Neven, H. (2020) · doi:10.37686/qrl.v1i2.80 · Cited by 1,176
Quantum algorithms: an overview
Montanaro, A. (2016) · npj Quantum Information · doi:10.1038/npjqi.2015.23 · Cited by 1,071
Giovannetti, V., Lloyd, S., & Maccone, L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.160501 · Cited by 935
Scaling the Ion Trap Quantum Processor
Monroe, C., & Kim, J. (2013) · Science · doi:10.1126/science.1231298 · Cited by 786
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
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
Quanvolutional neural networks: powering image recognition with quantum circuits
Henderson, M., Shakya, S., Pradhan, S. M., & Cook, T. (2020) · Quantum Machine Intelligence · doi:10.1007/s42484-020-00012-y · Cited by 584
Aaronson, S. (2015) · Nature Physics · doi:10.1038/nphys3272 · Cited by 567
Quantum Algorithm for Data Fitting
Wiebe, N., Braun, D., & Lloyd, S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.050505 · Cited by 528
Deep Convolutional Neural Networks for Large-scale Speech Tasks
Sainath, T. N., Kingsbury, B. E. D., Saon, G., Soltau, H., Mohamed, A., Dahl, G. E., & Ramabhadran, B. (2014) · Neural Networks · doi:10.1016/j.neunet.2014.08.005 · Cited by 506
Continuous-variable quantum neural networks
Killoran, N., Bromley, T. R., Arrazola, J. M., Schuld, M., Quesada, N., & Lloyd, S. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033063 · Cited by 418
Hierarchical quantum classifiers
Grant, E., Benedetti, M., Cao, S., Hallam, A., Lockhart, J., Stojevic, V., Green, A. G., & Simone Severini, B. (2018) · npj Quantum Information · doi:10.1038/s41534-018-0116-9 · Cited by 387
Continuous-variable quantum neural networks
Killoran, N., Bromley, T. R., Arrazola, J. M., Schuld, M., Quesada, N., & Lloyd, S. (2018) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 358
Architectures for a quantum random access memory
Giovannetti, V., Lloyd, S., & Maccone, L. (2008) · Physical Review A · doi:10.1103/physreva.78.052310 · Cited by 306
An artificial neuron implemented on an actual quantum processor
Tacchino, F., Macchiavello, C., Gerace, D., & Bajoni, D. (2019) · npj Quantum Information · doi:10.1038/s41534-019-0140-4 · Cited by 303
Hierarchical quantum classifiers
Grant, E., Benedetti, M., Cao, S., Hallam, A., Lockhart, J., Stojevic, V, Green, A. G., & Simone Severini, B. (2018) · UCL Discovery (University College London) · Cited by 296
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
Quantum algorithms for nearest-neighbor methods for supervised and unsupervised learning
Wiebe, N., Kapoor, A., & Svore, K. M. (2015) · Quantum Information and Computation · doi:10.26421/qic15.3-4-7 · Cited by 242
Kak, S. C. (1995) · Information Sciences · doi:10.1016/0020-0255(94)00095-s · Cited by 213
Quantum arithmetic with the quantum Fourier transform
Ruiz, L., & García-Escartín, J. C. (2017) · Quantum Information Processing · doi:10.1007/s11128-017-1603-1 · Cited by 206
Quantum Hopfield neural network
Rebentrost, P., Bromley, T. R., Weedbrook, C., & Lloyd, S. (2018) · Physical Review A · doi:10.1103/physreva.98.042308 · Cited by 187
Hardware-Efficient Quantum Random Access Memory with Hybrid Quantum Acoustic Systems
Hann, C. T., Zou, C., Zhang, Y., Chu, Y., Schoelkopf, R. J., Girvin, S. M., & Jiang, L. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.250501 · Cited by 182
Application of Quantum Annealing to Training of Deep Neural Networks
Adachi, S. H., & Henderson, M. P. (2015) · arXiv · doi:10.48550/arxiv.1510.06356 · Cited by 176
Image classification based on quantum K-Nearest-Neighbor algorithm
Dang, Y., Jiang, N., Hu, H., Ji, Z., & Zhang, W. (2018) · Quantum Information Processing · doi:10.1007/s11128-018-2004-9 · Cited by 166
Simulating a perceptron on a quantum computer
Schuld, M., Sinayskiy, I., & Petruccione, F. (2014) · Physics Letters A · doi:10.1016/j.physleta.2014.11.061 · Cited by 165
Recent Developments and Applications in Quantum Neural Network: A Review
Jeswal, S. K., & Chakraverty, S. (2018) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-018-9269-0 · Cited by 162
Circuit-Based Quantum Random Access Memory for Classical Data
Park, D. K., Petruccione, F., & Rhee, J.-K. K. (2019) · Scientific Reports · doi:10.1038/s41598-019-40439-3 · Cited by 151
On the robustness of bucket brigade quantum RAM
Arunachalam, S., Gheorghiu, V., Jochym-O’Connor, T., Mosca, M., & Srinivasan, P. V. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/12/123010 · Cited by 147
Quantum algorithm for linear regression
Wang, G. (2017) · Physical Review A · doi:10.1103/physreva.96.012335 · Cited by 145
Trading T gates for dirty qubits in state preparation and unitary synthesis
Low, G. H., Kliuchnikov, V., & Schaeffer, L. (2024) · Quantum · doi:10.22331/q-2024-06-17-1375 · Cited by 138
Efficient scheme for initializing a quantum register with an arbitrary superposed state
Long, G., & Sun, Y. (2001) · Physical Review A · doi:10.1103/physreva.64.014303 · Cited by 135
Quantum discriminant analysis for dimensionality reduction and classification
Cong, I., & Duan, L. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/7/073011 · Cited by 131
Quantum decision tree classifier
Lu, S., & Braunstein, S. L. (2013) · Quantum Information Processing · doi:10.1007/s11128-013-0687-5 · Cited by 125
Qubit neural network and its learning efficiency
Kouda, N., Matsui, N., Nishimura, H., & Peper, F. (2005) · Neural Computing and Applications · doi:10.1007/s00521-004-0446-8 · Cited by 119
Quantum inference on Bayesian networks
Low, G. H., Yoder, T. J., & Chuang, I. L. (2014) · Physical Review A · doi:10.1103/physreva.89.062315 · Cited by 109
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 107
Quantum adversarial machine learning
Lu, S., Duan, L., & Deng, D. (2020) · MPG.PuRe (Max Planck Society) · Cited by 105
A Quantum Mechanics-Based Framework for EEG Signal Feature Extraction and Classification
Li, Y., Zhou, R., Xu, R., Luo, J., & Jiang, S.-X. (2020) · IEEE Transactions on Emerging Topics in Computing · doi:10.1109/tetc.2020.3000734 · Cited by 91
Self-citationA quantum algorithm to train neural networks using low-depth circuits
Verdon, G., Broughton, M., & Biamonte, J. (2017) · arXiv · doi:10.48550/arxiv.1712.05304 · Cited by 87
Neural networks with quantum architecture and quantum learning
Panella, M., & Martinelli, G. (2009) · International Journal of Circuit Theory and Applications · doi:10.1002/cta.619 · Cited by 79
Quantum Fourier transform in computational basis
Zhou, S. S., Loke, T., Izaac, J., & Wang, J. B. (2017) · Quantum Information Processing · doi:10.1007/s11128-017-1515-0 · Cited by 69
Convolution with even-sized kernels and symmetric paddingPreprint
Wu, S., Wang, G., Tang, P. S., Chen, F., & Shi, L. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1903.08385 · Cited by 66
Building quantum neural networks based on a swap test
Zhao, J., Zhang, Y., Shao, C., Wu, Y.-C., Guo, G., & Guo, G. (2019) · Physical Review A · doi:10.1103/physreva.100.012334 · Cited by 64
Zhou, R., & Qiu-lin, D. (2007) · International Journal of Theoretical Physics · doi:10.1007/s10773-007-9437-8 · Cited by 59
Self-citationZak, M. A., & Williams, C. P. (1998) · International Journal of Theoretical Physics · doi:10.1023/a:1026656110699 · Cited by 58
A hybrid quantum-inspired neural networks with sequence inputs
Li, P., Xiao, H. Y., Shang, F., Tong, X.-F., Li, X., & Cao, M. (2013) · Neurocomputing · doi:10.1016/j.neucom.2013.01.029 · Cited by 53
Quantum Algorithms for Linear Algebra and Machine Learning.
Prakash, A. (2014) · eScholarship (California Digital Library) · Cited by 51
Quantum artificial neural networks with applications
Cao, H., Cao, F., & Wang, D. (2014) · Information Sciences · doi:10.1016/j.ins.2014.08.033 · Cited by 48
Loading Classical Data into a Quantum ComputerPreprint
Cortese, J. A., & Braje, T. M. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1803.01958 · Cited by 47
Quantum-assisted associative adversarial network: applying quantum annealing in deep learning
Wilson, M., Vandal, T., Hogg, T., & Rieffel, E. G. (2021) · Quantum Machine Intelligence · doi:10.1007/s42484-021-00047-9 · Cited by 45
A strategy for quantum algorithm design assisted by machine learning
Bang, J., Ryu, J., Yoo, S., Pawłowski, M., & Lee, J. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/7/073017 · Cited by 33
Quantum learning by measurement and feedback
Gammelmark, S., & Mølmer, K. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/3/033017 · Cited by 30
Implementing Any Nonlinear Quantum Neuron
Neto, F. M. D. P., Ludermir, T. B., de Oliveira, W. R., & da Silva, A. J. (2019) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2019.2938899 · Cited by 30
A quantum-implementable neural network model
Chen, J., Wang, L., & Edoardo Charbon, A. (2017) · Quantum Information Processing · doi:10.1007/s11128-017-1692-x · Cited by 26
Simulation of a Multidimensional Input Quantum Perceptron
Yamamoto, A. Y., Sundqvist, K. M., Li, P., & Harris, H. R. (2018) · Quantum Information Processing · doi:10.1007/s11128-018-1858-1 · Cited by 17
Quantum speedup of training radial basis function networks
Shao, C. (2019) · Quantum Information and Computation · doi:10.26421/qic19.7-8-6 · Cited by 7
Sequence Input-Based Quantum-Inspired Neural Networks with Applications
Li, P., & Xiao, H. Y. (2013) · Neural Processing Letters · doi:10.1007/s11063-013-9316-7 · Cited by 7
Constant Depth Bucket Brigade Quantum RAM Circuits Without Introducing Ancillae.
Paler, A., Oumarou, O., & Basmadjian, R. (2020) · Cited by 2
Cited by
Sorted by citations
Quantum convolutional neural network for classical data classification
Hur, T., Kim, L., & Park, D. K. (2022) · Quantum Machine Intelligence · doi:10.1007/s42484-021-00061-x · Cited by 448
Systematic literature review: Quantum machine learning and its applications
García, D. P., Cruz-Benito, J., & García‐Peñalvo, F. J. (2024) · Computer Science Review · doi:10.1016/j.cosrev.2024.100619 · Cited by 372
A quantum convolutional neural network on NISQ devices
Wei, S., Chen, Y., Zhou, Z., & Long, G. (2022) · AAPPS Bulletin · doi:10.1007/s43673-021-00030-3 · Cited by 192
Quantum machine learning for image classification
Senokosov, A., Sedykh, A., Sagingalieva, A., Kyriacou, B., & Melnikov, A. A. (2024) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ad2aef · Cited by 226
Quantum convolutional neural networks for high energy physics data analysis
Chen, S. Y.-C., Wei, T.-C., Zhang, C., Yu, H., & Yoo, S. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.013231 · Cited by 198
Metadata
- Authors
- Li, Y., Zhou, R.-G., Xu, R., Luo, J., & Hu, W.
- Affiliations
- Shanghai Maritime University (CN)
- Corresponding author
- Li, YaoChong
- Zhou, Ri-Gui
- Xu, RuQing
- Luo, Jia
- Hu, WenWen
- Venue
- Quantum Science and Technology
- Publisher
- IOP Publishing
- Published
- 2020-07-14
- Volume
- 5
- Issue
- 4
- Pages
- 044003
- ISSN
- 2058-9565 (ISSN-L)
- OpenAlex
- W3037607219
- Cited by
- 225
- References
- 79
- Citations by year
- 2026: 23 · 2025: 49 · 2024: 53 · 2023: 36 · 2022: 31 · 2021: 27 · 2020: 6
- FWCI
- 9.83
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Quantum Science and Technology (publishedVersion)
- Funders
- National Key R&D Plan (2018YFC1200200 2018YFC1200205)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Neural Network Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- image recognition, variational quantum algorithms, quantum computing, complexity analysis, MNIST, German Traffic Sign Recognition Benchmark
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