Quantum Money Schemes

All existing publicly verifiable quantum money schemes are built on assumptions that have been investigated by people in the past. So, there may be one day someone just comes up with efficient algorithm to solve this mathematical assumption where we build our quantum money scheme. These lattice assumptions are a problem set mathematicians and the cryptography community have been investigating for many years. Unlike factoring or this pre log which almost everyone knows they can be broken by quantum computers and you cannot use them here. They are believed to be both classical and quantum record of course there are people who don't believe that that still try attacks.