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Quantum-PEFT: Ultra parameter-efficient fine-tuning

ICLR 2025 · Architectures and efficiency › Pruning and efficient tuning · approach: Adapter-based parameter-efficient 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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Quantum-PEFT instead of AdaLoRADeBERTaV3-base · GLUE MRPCaccuracy: 89.46 -> 90.78Helped
Use Quantum-PEFT instead of AdaLoRADeBERTaV3-base · GLUE CoLAMatthews correlation: 70.04 -> 67.85Hurt
Use Quantum-PEFT instead of LoRAGPT-2 Medium · E2EBLEU: 66.88 -> 67.46Helped
Use Quantum-PEFT instead of LoRAGPT-2 Medium · E2EROUGE-L: 68.40 -> 67.36Hurt
Use Quantum-PEFT instead of AdaLoRAMistral-7B · GLUE SST-2accuracy: 96.90 -> 96.67Hurt
Use Quantum-PEFT instead of AdaLoRAMistral-7B · GLUE CoLAMatthews correlation: 70.38 -> 70.61Helped
Use Quantum-PEFT instead of LoRA rank 4ViT · CIFAR10accuracy: 98.39% -> 98.46%Helped
Use adaptive rather than uniform bit loading for INT1 Lie parameters (ablation)Taylor parameterization · CIFAR10accuracy: 97.96% -> 98.64%Helped
Reduce intrinsic rank from K'=8 to K'=1 (ablation)Taylor parameterization, K=8 · CIFAR10accuracy: 98.87% -> 98.38%Hurt
Increase entanglement layers from L=1 to L=3 (ablation)Pauli parameterization · CIFAR10 with 2-bit base ViTaccuracy: 96.09% -> 96.71%Helped
Increase entanglement layers from L=3 to L=32 (ablation)Pauli parameterization · CIFAR10 with 2-bit base ViTaccuracy: 96.71% -> 96.71%No clear effect

Surprising findings

Limitations

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

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