That is the title of a new paper by Isaiah Hull, Or Sattath, Eleni Diamanti, and Goran Wendin. Much of it I did not understand, but maybe you will. Here is one excerpt:
Our overview of quantum money starts with a full description of the original scheme, which was introduced circa 1969, but only published later in Wiesner (1983). We will see that it achieves what is called “information-theoretic security,” which means that an attacker with unbounded classical and quantum resources will not be able to counterfeit a unit of the money. Since this original scheme was proposed, the term “quantum money” has come to refer to a broad variety of different payment instruments, including credit cards, bills, and coins, all of which use of quantum physical phenomena to achieve security.The real promise of quantum money is that it offers the possibility of combining the beneficial features of both physical cash and digital payments, which is not possible without the use of the higher standard of security quantum money offers.In particular, a form of currency called “public-key” quantum money would allow individuals to verify the authenticity of bills and coins publicly and without the need to communicate with a trusted third party. This is not possible with any classical form of digital of money, including cryptocurrencies, which at least require communication with a distributed ledger. Thus, quantum money could restore the privacy and anonymity associated with physical money transactions, while maintaining the convenience of digital payment instruments.
Makes those crypto people look like David Laidler! See also this Behera and Sattath paper.