Quantum information and quantum computation have achieved a huge success during the last years. In this paper, we investigate the capability of quantum Hash function, which can be constructed by subtly modifying quantum walks, a famous quantum computation model. It is found that quantum Hash function can act as a hash function for the privacy amplification process of quantum key distribution systems with higher security. As a byproduct, quantum Hash function can also be used for pseudo-random number generation due to its inherent chaotic dynamics. Further we discuss the application of quantum Hash function to image encryption and propose a novel image encryption algorithm. Numerical simulations and performance comparisons show that quantum Hash function is eligible for privacy amplification in quantum key distribution, pseudo-random number generation and image encryption in terms of various hash tests and randomness tests. It extends the scope of application of quantum computation and quantum information.
All existing quantum oblivious transfer protocols can be achieved when all the members have to be quantum. So what will happen if not all the members are quantum? In this paper, we propose two novel protocols for all-or-nothing oblivious transfer and one-out-of-two oblivious transfer respectively by using single qubit states. Our contribution lies in the fact that the message receiver Bob can use fewer quantum resources so that our protocols relax the requirements of protocol implementation in practice. We analyze the security of the protocols and prove that they are secure against Bob who even has the quantum attack capability.
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