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A quantum-inspired image median filtering algorithm was proposed, which based on the quantum-inspired idea and quantum information theory. The quantum Hadamard transformation was analyzed.The normailized digital image was represented as quantum superposition state. For the digital images polluted by different degree of pepper and salt noise, the median filtering windows of 3×3 and 5×5 were used , the quantum-inspired median filtering algorithm and the traditional image median filtering algorithm were tested to denoise the polluted images.The algorithms were compared and studied through the subjective visual feeling and objective evaluation.According to the objective evaluation indexes of signal-to-noise ratio and edge-preserving degree, the gray value difference between the processed image and the original image and the ability of the algorithm to preserve the details of the edge of the image were measured and compared objectively.The experimental results showed that the de-noising effect of 5×5 quantum-inspired image median filtering algorithm was the best with the same degree of pepper and salt noise pollution.