Analyzing Images of Blood Cells with Quantum Machine Learning Methods: Equilibrium Propagation and Variational Quantum Circuits to Detect Acute Myeloid Leukemia

📅 2026-01-26
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This work proposes a quantum machine learning approach that integrates Equilibrium Propagation with a variational quantum circuit (VQC) for binary classification of acute myeloid leukemia (AML) under stringent constraints: scarce data, low-resolution images (64×64), and no backpropagation. Demonstrating the feasibility of Noisy Intermediate-Scale Quantum (NISQ)-era algorithms on a real-world medical imaging task, the method achieves 83.0% accuracy using only 50 samples per class and 20 engineered features with a 4-qubit VQC. When combined with Equilibrium Propagation, performance improves to 86.4%—just 12% below a conventional CNN—significantly outperforming classical models trained on comparable data volumes. These results establish a stable and efficient quantum learning paradigm capable of operating effectively under extremely limited data conditions.

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📝 Abstract
This paper presents a feasibility study demonstrating that quantum machine learning (QML) algorithms achieve competitive performance on real-world medical imaging despite operating under severe constraints. We evaluate Equilibrium Propagation (EP), an energy-based learning method that does not use backpropagation (incompatible with quantum systems due to state-collapsing measurements) and Variational Quantum Circuits (VQCs) for automated detection of Acute Myeloid Leukemia (AML) from blood cell microscopy images using binary classification (2 classes: AML vs. Healthy). Key Result: Using limited subsets (50-250 samples per class) of the AML-Cytomorphology dataset (18,365 expert-annotated images), quantum methods achieve performance only 12-15% below classical CNNs despite reduced image resolution (64x64 pixels), engineered features (20D), and classical simulation via Qiskit. EP reaches 86.4% accuracy (only 12% below CNN) without backpropagation, while the 4-qubit VQC attains 83.0% accuracy with consistent data efficiency: VQC maintains stable 83% performance with only 50 samples per class, whereas CNN requires 250 samples (5x more data) to reach 98%. These results establish reproducible baselines for QML in healthcare, validating NISQ-era feasibility.
Problem

Research questions and friction points this paper is trying to address.

Quantum Machine Learning
Acute Myeloid Leukemia
Medical Image Analysis
Binary Classification
NISQ
Innovation

Methods, ideas, or system contributions that make the work stand out.

Quantum Machine Learning
Equilibrium Propagation
Variational Quantum Circuits
Acute Myeloid Leukemia
NISQ
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Azra Bano
Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA
Larry S. Liebovitch
Larry S. Liebovitch
Columbia University
nonlinear physicalbiologicaland social systemsmachine learningartificial intelligence