The study aimed at showing how to create and release cryptocurrency, based on which one can introduce a new generation of this money that can continue its life in the quantum computers space and study whether cryptocurrency could be controlled or the rules should be rewritten in line with new technology. Regarding this, we showed the evolution of money and its uses in economic relations. Accord...

Public key quantum money can be seen as a version of the quantum no-cloning theorem that holds even when the quantum states can be verified by the adversary. In this work, investigate quantum lightning, a formalization of “collision-free quantum money” defined by Lutomirski et al. [ICS’10], where no-cloning holds even when the adversary herself generates the quantum state to be cloned. We then ...

Public key quantum money can be seen as a version of the quantum no-cloning theorem that holds even when the quantum states can be verified by the adversary. In this work, investigate quantum lightning, a formalization of “collision-free quantum money” defined by Lutomirski et al. [ICS’10], where no-cloning holds even when the adversary herself generates the quantum state to be cloned. We then ...

Quantum money is a quantum cryptographic protocol in which a mint can produce a state (called a quantum bill) which anyone can verify but no one can copy. The only published protocol (quantum money from knots) implements a protocol for collision-free money that is defined in terms of a classical oracle. I give a reduction from a hard classical problem to a restricted type of attack against the ...

The construction of public key quantum money based on standard cryptographic assumptions is a longstanding open question. Here we introduce franchised money, an alternative form that easier to construct. Franchised retains the features useful scheme, namely unforgeability and local verification: anyone can verify banknotes without communicating with bank. In every user gets unique secret verifi...

Public-key quantum money is a cryptographic protocol in which a bank can create quantum states which anyone can verify but no one except possibly the bank can clone or forge. There are no secure public-key quantum money schemes in the literature; as we show in this paper, the only previously published scheme [1] is insecure. We introduce a category of quantum money protocols which we call colli...

Unlike classical money, which is hard to forge for practical reasons (e.g. producing paper with a certain property), quantum money is attractive because its security might be based on the no-cloning theorem. The first quantum money scheme was introduced by Wiesner circa 1970. Although more sophisticated quantum money schemes were proposed, Wiesner’s scheme remained appealing because it is both ...

This thesis covers two unrelated topics. The first part of my thesis is about quantum money, a cryptographic protocol in which a mint can generate a quantum state that no one can copy. In public-key quantum money, anyone can verify that a given quantum state came from the mint, and in collision-free quantum money, even the mint cannot generate two valid quantum bills with the same serial number...