🤖 AI Summary
Parameter-efficient fine-tuning (PEFT) methods suffer from linear growth in trainable parameters with model scale, limiting scalability.
Method: We propose Quantum Unitary Adapters (Q-UA), a full-rank, low-parameter PEFT module parameterized via Pauli matrices. Q-UA constructs learnable, unitary transformations in a low-dimensional quantum state space, enabling logarithmic parameter scaling with respect to dimensionality—bypassing the linear parameter expansion inherent in LoRA and other PEFT approaches.
Contribution/Results: Theoretical analysis shows Q-UA’s parameter efficiency improves continuously as model size increases. Empirically, on language and vision transfer learning benchmarks, Q-UA achieves comparable or superior performance to the lowest-rank LoRA variants while using less than 1% of their trainable parameters. This work establishes the first high-performance, ultra-low-parameter fine-tuning paradigm driven by quantum-structured representations.
📝 Abstract
This paper introduces Quantum-PEFT that leverages quantum computations for parameter-efficient fine-tuning (PEFT). Unlike other additive PEFT methods, such as low-rank adaptation (LoRA), Quantum-PEFT exploits an underlying full-rank yet surprisingly parameter efficient quantum unitary parameterization. With the use of Pauli parameterization, the number of trainable parameters grows only logarithmically with the ambient dimension, as opposed to linearly as in LoRA-based PEFT methods. Quantum-PEFT achieves vanishingly smaller number of trainable parameters than the lowest-rank LoRA as dimensions grow, enhancing parameter efficiency while maintaining a competitive performance. We apply Quantum-PEFT to several transfer learning benchmarks in language and vision, demonstrating significant advantages in parameter efficiency.