Quantum Money from Abelian Group Actions

arXiv:2307.12120v4 Announce Type: replace-cross
Abstract: We give a 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 security in the generic group model for group actions under a plausible computational assumption, and develop a general toolkit for proving quantum security in this model. Along the way, we explore knowledge assumptions and algebraic group actions in the quantum …

actions arxiv called can computational construction cs.cr elliptic key lightning money prove public public key quant-ph quantum security suitable turn under version