Cited by 80Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum many-body systems

Quantum Neural Network for Quantum Neural Computing

Open access
Zhou, Min-Gang, Liu, Zhi-Ping, Yin, Hua-Lei, Li, Chen-Long, Xu, Tong-Kai, Chen, Zeng-Bing·2023·Research

Abstract

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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Research works printed but not linked: 4

  1. [6]Goodfellow I, Bengio Y, Courville A. Deep learning. Cambridge (MA): MIT Press; 2016.
  2. [7]Nielsen MA. Neural networks and deep learning. San Francisco (CA): Determination Press; 2015. vol. 25.
  3. [9]Bishop CM, Nasrabadi NM. Pattern recognition and machine learning. New York: Springer; 2006. vol. 4.
  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.

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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)
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
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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