The seminal idea of quantum money not forgeable due to laws of Quantum Mechanics proposed by Stephen Wiesner, has laid foundations for the Quantum Information Theory in early ’70s. Recently, several other schemes for quantum currencies have been proposed, all however relying on the assumption that the mint does not cooperate with the counterfeiter. Drawing inspirations from the semi-device independent quantum key distribution protocol, we introduce the first scheme of quantum money with this assumption partially relaxed, along with the proof of its unforgeability. Significance of this protocol is supported by an impossibility result, which we prove, stating that there is no both fully device independent and secure money scheme. Finally, we formulate a quantum analogue of the Oresme-Copernicus-Gresham’s law of economy.
From the article:
A number (in fact, more than 20) of various quantum money schemes has been recently proposed [1, 5, 6, 9–23]. We then ask if the Oresme-Copernicus-Gresham (OCG) Law of economy (known also as the Gresham’s Law [24–29]) will be also applicable to the quantum schemes of money. If so, the Quantum Oresme-Copernicus-Gresham law would have a form:
Bad quantum money drives out good quantum one
