Signing Perfect Currency Bonds

We propose the idea of a Quantum Cheque, a cryptographic protocol in which any legitimate client of a trusted bank can issue a cheque, that cannot be counterfeited or altered in anyway, and can be verified by a bank or any of its branches. We formally define Quantum Cheque and present the first Unconditionally Secure Quantum Cheque Scheme based on quantum one way functions and the monogamy of entanglement. The proposed Quantum Cheque can be stored in physical devices equipped with quantum memory as well as be streamed in the anticipated quantum internet via quantum channels, possibly without the necessity of quantum memories.