Quantum Image Encoding Compression

---
name: quantum-image-encoding-compression
description: "Gate-efficient quantum medical image encoding using Fourier-based methods. Reduces gates by 4x compared to pixel count. Covers two compression techniques for large-scale medical imaging with negligible quality loss."
tags: ["quantum", "image-processing", "medical", "compression"]
related_skills: ["quantum-medical-imaging", "quantum-feature-encoding"]
---

# Quantum Medical Image Encoding and Compression

Efficiently encode and compress classical medical images into quantum circuits using Fourier-based methods.

## Problem

- Existing encoding methods use gates ≈ 2× number of pixels
- 1024×1024 image = 2M+ gates — computationally prohibitive even for simulation

## Solution: Fourier-Based Encoding

### Gate Reduction Factor

| Method | Gates | Reduction |
|--------|-------|-----------|
| Standard (pixel-based) | 2N | baseline |
| Fourier-based | ≤ N/2 | **4× reduction** |

### Compression Techniques

1. **Technique 1**: Further gate reduction via frequency-domain thresholding
2. **Technique 2**: Pre-processing time reduction with negligible quality loss

## Application: Medical Imaging

- Demonstrated on 1024×1024 BABA (Bilateral Axillo-Breast Approach) robotic thyroidectomy images
- Suitable for large-scale medical imaging pipelines
- Maintains diagnostic-quality image fidelity

## Workflow

1. Input: Classical medical image (e.g., 1024×1024)
2. Fourier transform → frequency-domain representation
3. Threshold/select significant frequency components
4. Encode into quantum circuit with ≤ N/4 gates
5. Apply compression if needed
6. Process on quantum hardware/simulator

## Activation

quantum image encoding, quantum image compression, quantum medical imaging, Fourier quantum encoding, gate-efficient quantum circuits, BABA imaging, quantum image processing, QIMP

## References

- arXiv:2505.06471 — "Quantum medical image encoding and compression using Fourier-based methods" (2025)