⚛️ Quantum Neural Network Error Mitigation

World's first Transformer-based quantum error mitigation validated on real IBM Quantum hardware

🏆 Results

Single Circuit Results

Version	Model	Backend	Noisy	Mitigated	Improvement
v1.0	Standard QNN	ibm_marrakesh 3q	98.5%	99.1%	+0.6%
v2.0	Upgraded QNN	ibm_fez 5q	88.99%	93.06%	+4.57%
v3.0	Transformer QNN	ibm_fez 5q	56.90%	99.80%	+75.40%

5-Circuit Benchmark (Real IBM Hardware)

Circuit	Noisy	Standard QNN	Transformer QNN
1	85.66%	99.30%	99.46%
2	84.92%	98.78%	99.64%
3	83.14%	99.62%	99.41%
4	81.96%	98.15%	99.43%
5	82.65%	98.00%	99.41%
AVG	83.67%	98.77%	99.47%

🏆 Transformer QNN wins on ALL 5/5 circuits 🔬 Average improvement: +18.89% over raw hardware

🔬 Overview

World's first Transformer-based quantum error mitigation system validated on real IBM Quantum hardware. Uses multi-head self-attention to learn cross-state noise correlations across quantum measurement distributions.

🧠 Key Innovation

Standard QNN treats each measurement independently. Our Transformer QNN uses attention mechanism to learn patterns across all 32 quantum states simultaneously — like how GPT understands words in a sentence.

🛠️ Tech Stack

• IBM Quantum (ibm_fez 156-qubit, ibm_marrakesh 156-qubit)
• Qiskit + Qiskit Runtime
• PyTorch Transformer (204,225 parameters)
• Python 3.12

📊 Architecture

Variational Quantum Circuit

• 5 qubits, 4 layers, full entanglement
• Circuit depth: 235 gates
• 4096 measurement shots

Transformer QNN Mitigator

• Input: 32 noisy state probabilities
• 4 Transformer blocks
• 4 attention heads per block
• Embedding dimension: 64
• Output: 32 corrected probabilities

📈 Results Plots

🚀 Setup

pip install -r requirements.txt
python quantum_project.py

📁 Files

File	Description
quantum_project.py	Main v2.0 code
transformer_qnn_results.png	Transformer benchmark plot
qnn_results_v2.png	v2.0 results plot
benchmark_results.json	5-circuit benchmark data
requirements.txt	Dependencies

📄 Citation

If you use this work please cite:

Cheela, A. (2026). Transformer-based Quantum Error 
Mitigation on Real IBM Quantum Hardware. 
GitHub: github.com/cheelaakhil/quantum-error-mitigation

👤 Author

Akhil Cheela github.com/cheelaakhil