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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

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

The no-cloning theorem can be used as a basis for quantum money constructions which guarantee unconditionally unforgeable currency. Existing schemes, however, either (i) require long-term quantum memory and quantum communication between the…

Quantum Physics · Physics 2025-10-22 Dmytro Gavinsky , Dar Gilboa , Siddhartha Jain , Dmitri Maslov , Jarrod R. McClean

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…

Publicly-verifiable quantum money has been a central and challenging goal in quantum cryptography. To this day, no constructions exist based on standard assumptions. In this study, we propose an alternative notion called quantum cheques…

Quantum Physics · Physics 2024-04-19 Mohammed Barhoush , Louis Salvail

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

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

Public-key quantum money is a cryptographic proposal for using highly entangled quantum states as currency that is publicly verifiable yet resistant to counterfeiting due to the laws of physics. Despite significant interest, constructing…

Quantum Physics · Physics 2023-01-24 Prabhanjan Ananth , Zihan Hu , Henry Yuen

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

The no-cloning theorem asserts that, unlike classical information, quantum information cannot be copied. This seemingly undesirable phenomenon is harnessed in quantum cryptography. Uncloneable cryptography studies settings in which the…

Quantum Physics · Physics 2022-10-27 Or Sattath

Quantum money is the task of verifying the validity of banknotes while ensuring that they cannot be counterfeited. Public-key quantum money allows anyone to perform verification, while the private-key setting restricts the ability to verify…

Quantum Physics · Physics 2025-04-09 Peter Yuen

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

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…

Quantum money is a cryptographic protocol in which a mint can produce a quantum state, no one else can copy the state, and anyone (with a quantum computer) can verify that the state came from the mint. We present a concrete quantum money…

Quantum Physics · Physics 2010-04-30 Edward Farhi , David Gosset , Avinatan Hassidim , Andrew Lutomirski , Peter Shor

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 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

Forty years ago, Wiesner proposed using quantum states to create money that is physically impossible to counterfeit, something that cannot be done in the classical world. However, Wiesner's scheme required a central bank to verify the…

Quantum Physics · Physics 2016-11-15 Scott Aaronson

Quantum tokens are underlying primitives for quantum money and network proposals, which leverage the no-cloning theorem to realize unforgeable authentication. A relevant but overlooked type of attack to such architectures is a hacker that…

Quantum Physics · Physics 2026-05-06 Lucas Tsunaki , Boris Naydenov

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

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
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