A Quantum String‐Matching Algorithm

Abstract A novel quantum algorithm for string‐matching is introduced that significantly enhances the complexity of this fundamental operation, essential in numerous computing applications. The algorithm is designed as a composite quantum denoising procedure applied to a quantum‐generated dot‐matrix plot, which is treated as an image. This approach effectively identifies regions of similarity between two input strings of lengths N and M . For strings of equal length, the algorithm achieves a time complexity of and a space complexity of , demonstrating a clear advantage in quantum computational efficiency.