Quantum Large Language Models via Tensor Network Disentanglers
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Abstract (arXiv)
We introduce a framework for seamlessly integrating quantum computing into pretrained large language models (LLMs). The key idea is to construct a hybrid quantum-classical representation that exactly reproduces the original model, providing a principled starting point from which quantum resources can only improve performance. Our approach replaces the weight matrices in self-attention and multilayer perceptron layers with two variational quantum circuits coupled to a matrix product operator (MPO). Tensor network disentanglers transfer much of each layer's information into the quantum circuits, enabling the remaining tensor network to be compressed to a bond-dimension-one MPO with over three orders of magnitude fewer classical parameters (in our experiments, from 110,592 to approximately 36 for the replaced layer) and less than a 0.3% increase in perplexity. Training an added unitary adapter on top of this representation then surpasses the original model, reducing perplexity by up to 1.6%. Finally, we validate the hybrid architecture on a real quantum processor, demonstrating a practical route towards quantum-enhanced language models.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 13 of its 38 references that are in the map. First posted on arXiv 22 Oct 2024.
Builds on
13 of 38 references.
References · 13
- 2017Attention Is All You Needcited by 59,932
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
- 2015Distilling the Knowledge in a Neural Networkcited by 10,076
- 2015Learning both Weights and Connections for Efficient Neural Networkscited by 1,998
- 2017Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inferencecited by 1,548
- 2014Speeding up Convolutional Neural Networks with Low Rank Expansionscited by 283
- 2015Tensorizing Neural Networkscited by 246
- 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectivescited by 29
- 2024CompactifAI: Extreme Compression of Large Language Models using Quantum-Inspired Tensor Networkscited by 29
- 2022Quantum-Inspired Tensor Neural Networks for Partial Differential Equationscited by 9
- 2023Improving Gradient Methods via Coordinate Transformations: Applications to Quantum Machine Learningcited by 7
1 more
- 2017Language Design as Information Renormalizationcited by 6
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Citing papers per year: 2025: 5; 2026: 2.
7 papers.
- 2025Tensorization of neural networks for improved privacy and interpretabilitycited by 3
- 2025Tensorization is a powerful but underexplored tool for compression and interpretability of neural networkscited by 3
- 2026A Practical Tensor-Network Compression Pipeline for Production-Scale Large Language Modelscited by 1
- 2026Quantum-enhanced Large Language Models on Quantum Hardware via Cayley Unitary Adapterscited by 1
- 2025Explaining Anomalies with Tensor Networkscited by 0
- 2025PEPS: Quantum-Inspired Reinforcement Learning for Coherent Reasoning Traces in LLMscited by 0
- 2025Fisher Information, Training and Bias in Fourier Regression Modelscited by 0
- 2026Quantum-enhanced Large Language Models on Quantum Hardware via Cayley Unitary Adapters7 May 2026
- 2026A Practical Tensor-Network Compression Pipeline for Production-Scale Large Language Models2 Feb 2026
- 2025Fisher Information, Training and Bias in Fourier Regression Models8 Oct 2025
- 2025PEPS: Quantum-Inspired Reinforcement Learning for Coherent Reasoning Traces in LLMs24 Sep 2025
- 2025Tensorization is a powerful but underexplored tool for compression and interpretability of neural networks26 May 2025
- 2025Explaining Anomalies with Tensor Networks6 May 2025
- 2025Tensorization of neural networks for improved privacy and interpretability10 Jan 2025