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Exploring the Role of Quantum Circuits in Fine-Tuning Language Models

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In transformer-based language models, the classification head is the final component that translates internal representations into task-specific predictions. While these heads are typically composed of classical neural layers, they often face limitations in modeling long-range correlations, especially in low-data scenarios. Quantum computing, with its unique ability to represent and manipulate entangled states, offers a promising way to enhance the model’s capacity to learn richer and more subtle patterns, potentially improving performance where classical methods fall short. This has led researchers to explore hybrid architectures where quantum circuits play a direct role in the fine-tuning process.

In “Quantum Large Language Model Fine-Tuning” (Kim, Mei, Girotto, Yamada, & Roetteler, 2025), the authors propose replacing the classical classification head of a Sentence Transformer model called SetFit with a parameterized quantum circuit (PQC). SetFit is a compact language model designed to generate meaningful numerical representations (embeddings) of sentences, which can then be used for tasks like sentiment classification. It’s particularly well-suited for few-shot learning — working effectively with only a small number of training examples. By adding a quantum circuit at the end of this model, the authors aim to improve classification accuracy by leveraging the unique computational properties of quantum systems to capture non-local data correlations more effectively than classical networks.

Their method integrates a quantum circuit as the final layer of the model, applied after obtaining embeddings from a pre-trained transformer. A quantum circuit is a series of operations like rotations and entanglement applied to quantum bits (qubits), which manipulate their states in ways that classical bits can’t. These circuits are designed to exploit quantum phenomena such as superposition and entanglement to perform computations that can, in some cases, capture more complex patterns. In the paper, the authors use parameterized quantum circuits whose structure and parameters can be optimized during training, similar to layers in a neural network. Through a variety of simulations (including noisy settings that aim to reflect realistic quantum hardware), they evaluate how performance scales with different quantum parameters such as qubit count and circuit depth. The hybrid model outperforms classical baselines of comparable size, with the most accurate quantum configuration achieving a 3.14% gain over classical methods. Additionally, energy consumption projections suggest that quantum inference could become more efficient than GPU-based inference at scale.

One thing to note in this study is that the weights of the underlying language model are frozen during training, meaning improvements come solely from the quantum classification head. While promising, this sets an upper limit on performance. Future work could explore fully fine-tuning the language model alongside the quantum head, scaling up the qubit count and circuit depth, and validating results on real quantum hardware.

I find this paper interesting because it brings quantum computing into the machine learning pipeline in a grounded and application-oriented way. Rather than proposing a fully quantum neural network, it focuses on enhancing a well-defined, modular part of the system where improvements can have immediate impact, especially in domains with limited labeled data. It also hints at a broader, timely implication: as the energy demands of LLMs grow, hybrid quantum-classical architectures could offer a more sustainable alternative for inference and training at scale.

Let us summarize the methodology so that we can image how a simple implementation would work:

  1. Base Model (SetFit):
    They start with a pre-trained Sentence Transformer (SetFit) model that outputs high-dimensional sentence embeddings (768 dimensions). The weights of this base model are frozen during their experiments.

2. Quantum Classification Head:
The key contribution is replacing the classical classification head with a hybrid quantum-classical architecture, composed of:

  • A classical module that processes the embeddings through simulated quantum-inspired encoders (using amplitude encoding and a parameterized quantum circuit on classical devices).
  • A quantum module that performs angle encoding of the processed features and runs them through an actual or simulated quantum circuit (parameterized quantum circuit or PQC), followed by a measurement and a final linear layer to produce classification logits.

3. Training Setup:

  • The entire quantum head is trained end-to-end using gradient descent.
  • They provide details on hyperparameters (qubit count, number of encoders, circuit depth, re-uploading steps, etc.) and run extensive scaling and ablation studies.
  • They simulate realistic noise (e.g., depolarizing gate noise, shot noise) and report robustness in such settings.

4. Energy Estimations:
They also include an interesting section estimating and comparing the energy consumption of their quantum module (on a QPU) versus a classical GPU-based equivalent, adding practical considerations for deployment.

With all that in mind, lets give it a try.

High-level implementation of fine-tuning a LLM using quantum computing

This is a quantum-inspired simulation using pytortch to implement a similar approach described in the paper. I consider this just educational, in the sense that it might help to understand the approach described in the paper a bit better. Note: For actual quantum circuit simulation with backprop, use libraries like TorchQuantum, PennyLane, or Qiskit Machine Learning.

import torch
import torch.nn as nn
from sentence_transformers import SentenceTransformer

# 1. Load SetFit Sentence Transformer (frozen)
class FrozenSentenceEncoder(nn.Module):
def __init__(self):
super().__init__()
self.encoder = SentenceTransformer("sentence-transformers/paraphrase-mpnet-base-v2")
for param in self.encoder.parameters():
param.requires_grad = False

def forward(self, texts):
with torch.no_grad():
return torch.tensor(self.encoder.encode(texts))

# 2. Simulated PQC head (quantum-inspired, angle encoding)
class SimulatedQuantumHead(nn.Module):
def __init__(self, input_dim=768, num_qubits=8):
super().__init__()
self.input_dim = input_dim
self.num_qubits = num_qubits
self.fc_encode = nn.Linear(input_dim, num_qubits)
self.pqc_layers = nn.Sequential(
nn.Linear(num_qubits, num_qubits),
nn.ReLU(),
nn.Linear(num_qubits, 1) # Binary output
)

def forward(self, x):
angles = self.fc_encode(x) # simulate angle encoding
return torch.sigmoid(self.pqc_layers(torch.sin(angles))) # simulate PQC + measurement

# 3. Full Model
class QuantumEnhancedSentimentModel(nn.Module):
def __init__(self):
super().__init__()
self.encoder = FrozenSentenceEncoder()
self.quantum_head = SimulatedQuantumHead()

def forward(self, texts):
x = self.encoder(texts)
return self.quantum_head(x)

# 4. Example usage
if __name__ == "__main__":
model = QuantumEnhancedSentimentModel()
example_texts = ["I love this product.", "This was a terrible experience."]
outputs = model(example_texts)
print("Predicted probabilities:", outputs.detach().numpy())

This code shows how such a head might be plugged into a pipeline.

How do you see this type of hybrid model evolving as quantum hardware matures?

Paper: https://arxiv.org/pdf/2504.08732

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Published in about ai

Diverse topics related to artificial intelligence and machine learning, from new research to novel approaches and techniques.

Edgar Bermudez
Edgar Bermudez

Written by Edgar Bermudez

PhD in Computer Science and AI. I write about neuroscience, AI, and Computer Science in general. Enjoying the here and now.

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