Quantum hash function of continuous-time quantum walk based on cycle under broken-line decoherent noise

Wei‐Min Shi, Pan Tian, Yi‐Hua Zhou, Yu‐Guang Yang · 2023

The existing hash functions based on quantum walk construction are all proposed under the ideal closed environment. In order to better conform to the actual situation and improve the relevant performance of Hash functions, we propose a quantum hash function constructed by continuous quantum walk on the basis of broken-line noise model. We first propose a continuous-time quantum walk model on cycle under the influence of broken-line decoherence, after that apply this model to the construction process of the quantum hash function and put forward a building method of the hash function on the basis of the broken-line decoherent continuous-time quantum walk on the one-dimensional cycle. The safety analysis and numerical simulation indicate that our hash function has greater anti-collision performance than the existing hash function based on the quantum walk.

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