implements Quantum Money
The classical money scheme involves the Bank distributing notes to untrusted users. Each note has a unique serial number attached to it and this number provides a basis for the verification of the note when the user wants to use it for a transaction. However, in the classical world, nothing prevents a user with sufficient resources to be able to forge the note and create more notes than what he originally had in possession. In the 1980s, Wiesner proposed the idea of quantum money to create unforgeable bank notes. The unforgeability of the note relied on the no-cloning property of quantum mechanics. In this example protocol, the banknotes are several BB84 states prepared by the Bank, who then distributes them to the untrusted users. When the user needs to carry out a transaction with his note, he sends it to the Bank for verification, who then authenticates the validity of the note. Based on the no-cloning property of quantum mechanics, Wiesner showed information-theoretic security against a forger of bank notes.
Let the money have $n$ isolated systems $S_{i} \\\in \\\{a,b,\\\alpha,\\\beta\\\}$, $i = 1,\\\ldots,n$.
Note that since no one except the Mint knows $M_{i}$ and $N_{i}$, even if someone copies the money, he cannot recover the polarization.
No content has been added to this section, yet!
$ \\\textbf{Input:} \\\quad $ Product state of $N$ qubits and a serial number
$ \\\textbf{Output:} \\\quad $ approved/rejected
$ \\\textbf{Stage 1: Preparation} $
$ \\\textbf{Stage 2: Verification} $
No content has been added to this section, yet!
No content has been added to this section, yet!
implements Quantum Money
The classical money scheme involves the Bank distributing notes to untrusted users. Each note has a unique serial number attached to it and this number provides a basis for the verification of the note when the user wants to use it for a transaction. However, in the classical world, nothing prevents a user with sufficient resources to be able to forge the note and create more notes than what he originally had in possession. In the 1980s, Wiesner proposed the idea of quantum money to create unforgeable bank notes. The unforgeability of the note relied on the no-cloning property of quantum mechanics. In this example protocol, the banknotes are several BB84 states prepared by the Bank, who then distributes them to the untrusted users. When the user needs to carry out a transaction with his note, he sends it to the Bank for verification, who then authenticates the validity of the note. Based on the no-cloning property of quantum mechanics, Wiesner showed information-theoretic security against a forger of bank notes.
Let the money have $n$ isolated systems $S_{i} in {a,b,alpha,beta}$, $i = 1,ldots,n$.
Note that since no one except the Mint knows $M_{i}$ and $N_{i}$, even if someone copies the money, he cannot recover the polarization.
No content has been added to this section, yet!
$ textbf{Input:} quad $ Product state of $N$ qubits and a serial number
$ textbf{Output:} quad $ approved/rejected
$ textbf{Stage 1: Preparation} $
$ textbf{Stage 2: Verification} $
No content has been added to this section, yet!
No content has been added to this section, yet!