Cryptocurrency for quantum computers that is physically impossible to double-spend? Could a cryptocurrency running (at least partially) on a quantum computer (and/or on a quantum network) be developed in which it is physically impossible to double-spend? In other words, a coin in which it would be physically impossible to create two transactions that transfer the same coin from one address to two different addresses? Is there any published work on the subject, peer-reviewed or not? For example, if a coin is represented by an uncollapsed quantum state then according to No-cloning theorem it would be physically impossible (or only unlikely?) to transfer said coin to two different recipients, correct?

Edit: accepted the only answer. I don't think it applies here but at least this question shouldn't get deleted automatically...
I'm not sure how developed the idea is, but it sounds like you are describing the idea of quantum money.

Also, as it would be a new cryptocurrency, it would not be Bitcoin; Bitcoin is a particular cryptocurrency, and not all cryptocurrencies are Bitcoin in the same way that not all normal currency is US dollars.