Quantum Median Filter for Total Variation denoising

In this work we present Quantum Median Filter, an image processing algorithm for applying Total Variation denoising to quantum image representations. After a brief introduction to TV model and quantum computing, we present QMF algorithm and discuss its design and efficiency; then we implement and simulate the quantum circuit using Qiskit library; finally we apply it to a set of noisy images, in order to compare and evaluate experimental results.