01127nas a2200145 4500008004100000245006400041210006200105260001500167490001000182520070300192100001800895700001600913700001500929856003700944 2018 eng d00aPseudorandom States, Non-Cloning Theorems and Quantum Money0 aPseudorandom States NonCloning Theorems and Quantum Money c2017/11/010 v109933 a
We propose the concept of pseudorandom states and study their constructions, properties, and applications. Under the assumption that quantum-secure one-way functions exist, we present concrete and efficient constructions of pseudorandom states. The non-cloning theorem plays a central role in our study—it motivates the proper definition and characterizes one of the important properties of pseudorandom quantum states. Namely, there is no efficient quantum algorithm that can create more copies of the state from a given number of pseudorandom states. As the main application, we prove that any family of pseudorandom states naturally gives rise to a private-key quantum money scheme.
1 aJi, Zhengfeng1 aLiu, Yi-Kai1 aSong, Fang uhttps://arxiv.org/abs/1711.00385