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Quantum-PEFT: Ultra parameter-efficient fine-tuning
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Introduces Quantum-PEFT, which parameterizes LoRA-style weight updates via quantum-circuit-inspired Pauli (RY/CZ) unitary parameterizations, giving logarithmic trainable-parameter scaling with full-rank updates.
Problem
LoRA-based PEFT has trainable parameters growing linearly with weight dimension and a rank-limited update, limiting parameter efficiency for large pretrained models.
Approach
Reparameterize low-rank factors U and V as unitary/Stiefel matrices generated by Pauli parameterization (alternating RY rotations and CZ entanglers, Kronecker-structured) or Taylor-series Lie-algebra mapping, so the parameter count grows logarithmically with dimension while the effective update is full-rank; quantum Shannon decomposition handles non-power-of-two dimensions.
Key results
- On GLUE with DeBERTaV3-base, Quantum-PEFT reaches 86.42 average using 0.013M trainable parameters, versus 86.12 for LoRA at 0.33M (about 25x fewer).
- On E2E with GPT-2 Medium, Quantum-PEFT (0.098M parameters) gets BLEU 67.46 vs LoRA 66.88 at 0.39M parameters.
- On ViT CIFAR-10 transfer with 3-bit base model, Quantum-PEFT reaches 98.46% accuracy with 0.007M parameters vs LoRA K=1 at 98.14% with 0.037M.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Quantum-PEFT instead of AdaLoRA | DeBERTaV3-base · GLUE MRPC | accuracy: 89.46 -> 90.78 | Helped |
| Use Quantum-PEFT instead of AdaLoRA | DeBERTaV3-base · GLUE CoLA | Matthews correlation: 70.04 -> 67.85 | Hurt |
| Use Quantum-PEFT instead of LoRA | GPT-2 Medium · E2E | BLEU: 66.88 -> 67.46 | Helped |
| Use Quantum-PEFT instead of LoRA | GPT-2 Medium · E2E | ROUGE-L: 68.40 -> 67.36 | Hurt |
| Use Quantum-PEFT instead of AdaLoRA | Mistral-7B · GLUE SST-2 | accuracy: 96.90 -> 96.67 | Hurt |
| Use Quantum-PEFT instead of AdaLoRA | Mistral-7B · GLUE CoLA | Matthews correlation: 70.38 -> 70.61 | Helped |
| Use Quantum-PEFT instead of LoRA rank 4 | ViT · CIFAR10 | accuracy: 98.39% -> 98.46% | Helped |
| Use adaptive rather than uniform bit loading for INT1 Lie parameters (ablation) | Taylor parameterization · CIFAR10 | accuracy: 97.96% -> 98.64% | Helped |
| Reduce intrinsic rank from K'=8 to K'=1 (ablation) | Taylor parameterization, K=8 · CIFAR10 | accuracy: 98.87% -> 98.38% | Hurt |
| Increase entanglement layers from L=1 to L=3 (ablation) | Pauli parameterization · CIFAR10 with 2-bit base ViT | accuracy: 96.09% -> 96.71% | Helped |
| Increase entanglement layers from L=3 to L=32 (ablation) | Pauli parameterization · CIFAR10 with 2-bit base ViT | accuracy: 96.71% -> 96.71% | No clear effect |
Surprising findings
- Quantum-PEFT with 0.013M parameters outperforms AdaLoRA (0.32M) on average GLUE score for DeBERTaV3-base in the reported table, despite far fewer parameters.
- 1-bit quantization of Lie parameters with adaptive bit loading shows only 0.17% loss from FP32 in the ViT experiment.
Limitations
- Pauli parameterization has higher unitarity error than other mappings, per the appendix analysis.
- Results are not claimed to always beat LoRA; experiments limited to tasks with under 100k training instances due to compute limits.
- Ablation and sensitivity results show performance gains saturate with entanglement layers L, and optimal L is task-dependent.
Experimental setup
Datasets: GLUE E2E CIFAR-10 ImageNet-21k
Benchmarks: GLUE E2E CIFAR-10
Metrics: accuracy Matthews correlation Pearson/Spearman correlation BLEU NIST METEOR ROUGE-L CIDEr number of trainable parameters memory
Baselines: Full fine-tuning LoRA AdaLoRA BitFit Houlsby adapter Pfeiffer adapter LoHa LoKr MORA QuanTA
Builds on: LoRA AdaLoRA orthogonal fine-tuning (OFT) quantum two-design ansatz quantum Shannon decomposition
Closest papers by meaning
- QuanTA: Efficient High-Rank Fine-Tuning of LLMs with Quantum-Informed Tensor Adaptation (NeurIPS 2024 · similarity 0.89)
- SVFT: Parameter-Efficient Fine-Tuning with Singular Vectors (NeurIPS 2024 · similarity 0.85)
- Parameter-Efficient Fine-Tuning with Discrete Fourier Transform (ICML 2024 · similarity 0.85)
- Linearization Explains Fine-Tuning in Large Language Models (NeurIPS 2025 · similarity 0.84)
- F-Adapter: Frequency-Adaptive Parameter-Efficient Fine-Tuning in Scientific Machine Learning (NeurIPS 2025 · similarity 0.84)
- GraLoRA: Granular Low-Rank Adaptation for Parameter-Efficient Fine-Tuning (NeurIPS 2025 · similarity 0.84)
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