We give a candidate construction of public key quantum money, and even a strengthened version called quantum lightning, from abelian group actions, which can in turn be constructed from suitable isogenies over elliptic curves. We prove our scheme is secure under new but plausible assumptions on suitable group actions.

翻译：我们给出了从阿贝尔群作用出发的公钥量子货币（甚至更强的变种——量子闪电）的候选构造方案，而该群作用又可进一步从椭圆曲线上的适宜同源构造得到。我们证明，在关于适宜群作用的新的但合理的假设下，我们的方案是安全的。