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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…

One of the earliest cryptographic applications of quantum information was to create quantum digital cash that could not be counterfeited. In this paper, we describe a new type of quantum money: quantum coins, where all coins of the same…

Quantum Physics · Physics 2010-09-07 Michele Mosca , Douglas Stebila

Quantum money represents an innovative approach to currency by encoding economic value within the quantum states of physical systems, utilizing the principles of quantum mechanics to enhance security, integrity, and transferability. This…

Quantum Physics · Physics 2025-07-15 Artur Czerwinski

In a quantum money scheme, a bank can issue money that users cannot counterfeit. Similar to bills of paper money, most quantum money schemes assign a unique serial number to each money state, thus potentially compromising the privacy of the…

Quantum Physics · Physics 2024-11-26 Amit Behera , Or Sattath

Wiesner's quantum money [5] is a simple, information-theoretically secure quantum cryptographic protocol. In his protocol, a mint issues quantum bills and anyone can query the mint to authenticate a bill. If the mint returns bogus bills…

Quantum Physics · Physics 2010-10-05 Andrew Lutomirski

Forty years ago, Wiesner pointed out that quantum mechanics raises the striking possibility of money that cannot be counterfeited according to the laws of physics. We propose the first quantum money scheme that is (1) public-key, meaning…

Quantum Physics · Physics 2012-09-18 Scott Aaronson , Paul Christiano

A digital currency is money in a digital form. In this model, maintaining integrity of the supply is a core concern, therefore protections against double-spending are often at the heart of a secure digital money scheme. Quantum money…

Quantum Physics · Physics 2024-08-09 Anne Broadbent , Raza Ali Kazmi , Cyrus Minwalla

Publicly verifiable quantum money is a protocol for the preparation of quantum states that can be efficiently verified by any party for authenticity but is computationally infeasible to counterfeit. We develop a cryptographic scheme for…

Quantum Physics · Physics 2022-09-01 Andrey Boris Khesin , Jonathan Z. Lu , Peter W. Shor

The digital currency Bitcoin has had remarkable growth since it was first proposed in 2008. Its distributed nature allows currency transactions without a central authority by using cryptographic methods and a data structure called the…

Quantum Physics · Physics 2020-09-28 Jonathan Jogenfors

Public verification of quantum money has been one of the central objects in quantum cryptography ever since Wiesner's pioneering idea of using quantum mechanics to construct banknotes against counterfeiting. So far, we do not know any…

Cryptography and Security · Computer Science 2023-01-03 Jiahui Liu , Hart Montgomery , Mark Zhandry

While classical money can be copied, it is impossible to copy quantum money in principle, with only the bank that issues it knowing how to generate it, meaning only the bank can make exact copies. Not all reliable banks, such as central…

Quantum Physics · Physics 2022-05-20 Yuichi Sano

We propose the idea of a Quantum Cheque Scheme, 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…

Quantum Physics · Physics 2022-10-20 Subhayan Roy Moulick , Prasanta K. Panigrahi

Quantum information allows us to build quantum money schemes, where a bank can issue banknotes in the form of authenticatable quantum states that cannot be cloned or counterfeited. Similar to paper banknotes, in existing quantum money…

Quantum Physics · Physics 2024-11-08 Alper Cakan , Vipul Goyal , Takashi Yamakawa

The construction of public key quantum money based on standard cryptographic assumptions is a longstanding open question. Here we introduce franchised quantum money, an alternative form of quantum money that is easier to construct.…

Cryptography and Security · Computer Science 2021-10-20 Bhaskar Roberts , Mark Zhandry

We propose and construct a quantum money scheme that allows verification through classical communication with a bank. This is the first demonstration that a secure quantum money scheme exists that does not require quantum communication for…

Quantum Physics · Physics 2022-03-30 Dmytro Gavinsky

We propose a new idea for public key quantum money. In the abstract sense, our bills are encoded as a joint eigenstate of a fixed system of commuting unitary operators. We perform some basic analysis of this black box system and show that…

Quantum Physics · Physics 2022-10-06 Daniel M. Kane , Shahed Sharif , Alice Silverberg

Quantum money allows a bank to mint quantum money states that can later be verified and cannot be forged. Usually, this requires a quantum communication infrastructure to transfer quantum states between the user and the bank. Gavinsky (CCC…

Quantum Physics · Physics 2020-10-21 Roy Radian , Or Sattath

Quantum computing has the power to break current cryptographic systems, disrupting online banking, shopping, data storage and communications. Quantum computing also has the power to support stronger more resistant technologies. In this…

Quantum Physics · Physics 2020-11-17 Hazel Murray , Jerry Horgan , Joao F. Santos , David Malone , Harun Siljak

Unknown quantum information cannot be perfectly copied (cloned). This statement is the bedrock of quantum technologies and quantum cryptography, including the seminal scheme of Wiesner's quantum money, which was the first…

In the 1970s, Wiesner introduced the concept of quantum money, where quantum states generated according to specific rules function as currency. These states circulate among users with quantum resources through quantum channels or…

Quantum Physics · Physics 2024-07-17 Yichi Zhang , Siyuan Jin , Yuhan Huang , Bei Zeng , Qiming Shao
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