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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

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

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

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…

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

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

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

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 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

Signing quantum messages has long been considered impossible even under computational assumptions. In this work, we challenge this notion and provide three innovative approaches to sign quantum messages that are the first to ensure…

Quantum Physics · Physics 2026-01-28 Mohammed Barhoush , Louis Salvail

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

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

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

We present a quantum digital signature scheme whose security is based on fundamental principles of quantum physics. It allows a sender (Alice) to sign a message in such a way that the signature can be validated by a number of different…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman , Isaac Chuang

In this work we present a publicly verifiable quantum money protocol which assumes close to no quantum computational capabilities. We rely on one-time memories which in turn can be built from quantum conjugate coding and hardware-based…

Quantum Physics · Physics 2026-03-16 Fabrizio Genovese , Lev Stambler

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

Unforgeable quantum money tokens were the first invention of quantum information science, but remain technologically challenging as they require quantum memories and/or long distance quantum communication. More recently, virtual 'S-money'…

Quantum Physics · Physics 2022-04-08 Adrian Kent , David Lowndes , Damián Pitalúa-García , John Rarity

Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

Quantum Physics · Physics 2012-05-11 Min Liang , Li Yang
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