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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…

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

Wiesner's unforgeable quantum money scheme is widely celebrated as the first quantum information application. Based on the no-cloning property of quantum mechanics, this scheme allows for the creation of credit cards used in authenticated…

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

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

The seminal idea of quantum money not forgeable due to laws of Quantum Mechanics proposed by Stephen Wiesner, has laid foundations for the Quantum Information Theory in early '70s. Recently, several other schemes for quantum currencies have…

Quantum Physics · Physics 2020-02-07 Karol Horodecki , Maciej Stankiewicz

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

The concept of quantum money (QM) was proposed by Wiesner in the 1970s. Its main advantage is that every attempt to copy QM unavoidably leads to imperfect counterfeits. In the Wiesner's protocol, quantum banknotes need to be delivered to…

Quantum Physics · Physics 2018-11-28 Kateřina Jiráková , Karol Bartkiewicz , Antonín Černoch , Karel Lemr

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

Quantum money is the first invention in quantum information science, promising advantages over classical money by simultaneously achieving unforgeability, user privacy, and instant validation. However, standard quantum money relies on…

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

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…

Quantum Physics · Physics 2017-02-14 Aharon Brodutch , Daniel Nagaj , Or Sattath , Dominique Unruh

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

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

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

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

Recently, the invention of quantum computers was so revolutionary that they bring transformative challenges in a variety of fields, especially for the traditional cryptographic blockchain, and it may become a real thread for most of the…

Cryptography and Security · Computer Science 2024-07-30 Tatsuru Kikuchi

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…

Research on quantum technology spans multiple disciplines: physics, computer science, engineering, and mathematics. The objective of this manuscript is to provide an accessible introduction to this emerging field for economists that is…

General Economics · Economics 2021-10-11 Isaiah Hull , Or Sattath , Eleni Diamanti , Göran Wendin

Digital payments have replaced physical banknotes in many aspects of our daily lives. Similarly to banknotes, they should be easy to use, unique, tamper-resistant and untraceable, but additionally withstand digital attackers and data…

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