Quantum money leverages the fundamental uncloneability of quantum information to create a money system in which copying money is computationally infeasible, yet verifying it is efficient. However, in addition to fault tolerant quantum computers, many quantum money schemes also require quantum communication. I will discuss the possibility of schemes with classical communication in place of quantum. In particular, I will focus on the private key semi-quantum money of Radian et al, placing it in context with other types of dequantization we could hope for.
Reference: R. Radian, O. Sattath, “Semi-quantum money,” https://arxiv.org/abs/1908.08889 (2019)