English
Related papers

Related papers: Quantum Money from Modular Forms

200 papers

We introduce a novel quantum programming language featuring higher-order programs and quantum controlflow which ensures that all qubit transformations are unitary. Our language boasts a type system guaranteeingboth unitarity and…

Logic in Computer Science · Computer Science 2024-03-06 Alejandro Díaz-Caro , Emmanuel Hainry , Romain Péchoux , Mário Silva

In this paper, we prove classical coin-flipping secure in the presence of quantum adversaries. The proof uses a recent result of Watrous [Wat09] that allows quantum rewinding for protocols of a certain form. We then discuss two…

Quantum Physics · Physics 2009-10-19 Ivan Damgaard , Carolin Lunemann

In this work, we propose a novel architecture (and several variants thereof) based on quantum cryptographic primitives with provable privacy and security guarantees regarding membership inference attacks on generative models. Our…

Quantum Physics · Physics 2023-07-07 Sagnik Chatterjee , Vyacheslav Kungurtsev

The Variational Quantum Eigensolver approach to the electronic structure problem on a quantum computer involves measurement of the Hamiltonian expectation value. Formally, quantum mechanics allows one to measure all mutually commuting or…

Quantum Physics · Physics 2020-03-17 Tzu-Ching Yen , Vladyslav Verteletskyi , Artur F. Izmaylov

A decentralized online quantum cash system, called qBitcoin, is given. We design the system which has great benefits of quantization in the following sense. Firstly, quantum teleportation technology is used for coin transaction, which…

General Finance · Quantitative Finance 2020-09-22 Kazuki Ikeda

For planar integrable billiards, the eigenstates can be classified with respect to a quantity determined by the quantum numbers. Given the quantum numbers as $m, n$, the index which represents a class is $c = m\, \mbox{mod}\, k\,n$ for a…

Quantum Physics · Physics 2017-09-13 Ayush Kumar Mandwal , Sudhir R. Jain

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

We investigate the security assumptions behind three public-key quantum money schemes. Aaronson and Christiano proposed a scheme based on hidden subspaces of the vector space $\mathbb{F}_2^n$ in 2012. It was conjectured by Pena et al in…

Quantum Physics · Physics 2022-11-01 Andriyan Bilyk , Javad Doliskani , Zhiyong Gong

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

In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This…

Quantum Physics · Physics 2024-12-12 François Le Gall , Oran Nadler , Harumichi Nishimura , Rotem Oshman

We put forward the idea that classical blockchains and smart contracts are potentially useful primitives not only for classical cryptography, but for quantum cryptography as well. Abstractly, a smart contract is a functionality that allows…

Quantum Physics · Physics 2020-07-22 Andrea Coladangelo , Or Sattath

Quantum homomorphic encryption (QHE), allows a quantum cloud server to compute on private data as uploaded by a client. We provide a proof-of-concept software simulation for QHE, according to the "EPR" scheme of Broadbent and Jeffery, for…

Quantum Physics · Physics 2025-07-29 Sohrab Ganjian , Connor Paddock , Anne Broadbent

In this paper a quantum mechanics is built by means of a non-Hermitian momentum operator. We have shown that it is possible to construct two Hermitian and two non-Hermitian type of Hamiltonians using this momentum operator. We can construct…

Mathematical Physics · Physics 2011-03-25 Juan M. Romero , O. Gonzalez-Gaxiola , J. Ruiz de Chavez , R. Bernal-Jaquez

We give an achievable secret key rate of a binary modulated continuous variable quantum key distribution schemes in the collective attack scenario considering quantum channels that impose arbitrary noise on the exchanged signals. Bob…

Quantum Physics · Physics 2009-11-13 Yi-Bo Zhao , Matthias Heid , Johannes Rigas , Norbert Lütkenhaus

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

The control of quantum walk is made particularly transparent when the initial state is expressed in terms of the eigenstates of the coin operator. We show that the group-velocity density acquires a much simpler form when expressed in this…

Quantum Physics · Physics 2014-05-30 Martin Stefanak , Igor Jex

We present a continuous-variable quantum key distribution protocol combining a discrete modulation and reverse reconciliation. This protocol is proven unconditionally secure and allows the distribution of secret keys over long distances,…

Quantum Physics · Physics 2010-03-15 Anthony Leverrier , Philippe Grangier

An increasing number of communication and computational schemes with quantum advantages have recently been proposed, which implies that quantum technology has fertile application prospects. However, demonstrating these schemes…

Quantum Physics · Physics 2022-05-06 Min-Gang Zhou , Xiao-Yu Cao , Yu-Shuo Lu , Yang Wang , Yu Bao , Zhao-Ying Jia , Yao Fu , Hua-Lei Yin , Zeng-Bing Chen

We develop the concept of quantum carrier and show that messages can be uploaded and downloaded from this carrier and while in transit, these messages are hidden from external agents. We explain in detail the working of the quantum carrier…

Quantum Physics · Physics 2012-04-12 Vahid Karimipour , Milad Marvian

We propose a new cryptographic task, which we call verifiable quantum secure modulo summation. Secure modulo summation is a calculation of modulo summation $Y_1+\ldots+ Y_m$ when $m$ players have their individual variables $Y_1,\ldots, Y_m$…

Quantum Physics · Physics 2024-09-10 Masahito Hayashi , Takeshi Koshiba