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Many modern asymmetric encryption methods rely on prime numbers, as they have distinctive properties. For instance, the security of RSA cryptosystem relies on the computational difficulty of factoring a large composite number in its prime…

Cryptography and Security · Computer Science 2026-05-19 Anas A. Abudaqa , Nujud Alyami , Mostefa Kara , Farid Binbeshr , Muhammad Imam , Amjad Abuhassan

Formulating and designing authentication of classical messages in the presence of adversaries with quantum query access has been a longstanding challenge, as the familiar classical notions of unforgeability do not directly translate into…

Quantum Physics · Physics 2023-04-21 Gorjan Alagic , Christian Majenz , Alexander Russell , Fang Song

There had been well known claims of unconditionally secure quantum protocols for bit commitment. However, we, and independently Mayers, showed that all proposed quantum bit commitment schemes are, in principle, insecure because the sender,…

Quantum Physics · Physics 2009-10-30 H. -K. Lo , H. F. Chau

Bit commitment protocols whose security is based on the laws of quantum mechanics alone are generally held to be impossible. In this paper we give a strengthened and explicit proof of this result. We extend its scope to a much larger…

In this work we initiate the question of whether quantum devices can provide us with an almost perfect source of classical randomness, and more generally, suffice for classical cryptographic tasks, such as encryption. Indeed, it is well…

Quantum Physics · Physics 2007-05-23 Yevgeniy Dodis , Renato Renner

Bit commitment protocols, whose security is based on the laws of quantum mechanics alone, are generally held to be impossible on the basis of a concealment-bindingness tradeoff. A strengthened and explicit impossibility proof has been given…

Quantum Physics · Physics 2013-12-03 G. Chiribella , G. M. D'Ariano , P. Perinotti , D. M. Schlingemann , R. F. Werner

We give a tighter lifting theorem for security games in the quantum random oracle model. At the core of our main result lies a novel measure-and-reprogram framework that we call coherent reprogramming. This framework gives a tighter lifting…

Quantum Physics · Physics 2025-09-15 Alexandru Cojocaru , Juan Garay , Qipeng Liu , Fang Song

Quantum data access and quantum processing can make certain classically intractable learning tasks feasible. However, quantum capabilities will only be available to a select few in the near future. Thus, reliable schemes that allow…

Quantum Physics · Physics 2024-02-07 Matthias C. Caro , Marcel Hinsche , Marios Ioannou , Alexander Nietner , Ryan Sweke

A proof of work (PoW) is an important cryptographic construct enabling a party to convince others that they invested some effort in solving a computational task. Arguably, its main impact has been in the setting of cryptocurrencies such as…

Quantum Physics · Physics 2023-03-15 Alexandru Cojocaru , Juan Garay , Aggelos Kiayias , Fang Song , Petros Wallden

Quantum cryptography leverages many unique features of quantum information in order to construct cryptographic primitives that are oftentimes impossible classically. In this work, we build on the no-cloning principle of quantum mechanics…

Quantum Physics · Physics 2023-10-13 Prabhanjan Ananth , Alexander Poremba , Vinod Vaikuntanathan

In this paper, we show that the zero-knowledge construction for Hamiltonian cycle remains secure against quantum adversaries in the relativistic setting. Our main technical contribution is a tool for studying the action of consecutive…

Quantum Physics · Physics 2022-07-13 André Chailloux , Anthony Leverrier

The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both classical cryptography and information theory. Here, we…

Quantum Physics · Physics 2017-10-11 Marco Tomamichel , Jesus Martinez-Mateo , Christoph Pacher , David Elkouss

In the task cryptographers call bit commitment, one party encrypts a prediction in a way that cannot be decrypted until they supply a key, but has only one valid key. Bit commitment has many applications, and has been much studied, but…

Quantum Physics · Physics 2015-05-27 Adrian Kent

We explore the cryptographic power of arbitrary shared physical resources. The most general such resource is access to a fresh entangled quantum state at the outset of each protocol execution. We call this the Common Reference Quantum State…

Quantum Physics · Physics 2024-12-18 Frédéric Dupuis , Philippe Lamontagne , Louis Salvail

With today's quantum processors venturing into regimes beyond the capabilities of classical devices [1-3], we face the challenge to verify that these devices perform as intended, even when we cannot check their results on classical…

The nature and scope of various impossibility proofs as they relate to real-world situations are discussed. In particular, it is shown in words without technical symbols how secure quantum bit commitment protocols may be obtained with…

Quantum Physics · Physics 2008-08-15 Horace P. Yuen

We propose an efficient scheme for verifying quantum computations in the `high complexity' regime i.e. beyond the remit of classical computers. Previously proposed schemes remarkably provide confidence against arbitrarily malicious…

Quantum Physics · Physics 2017-05-24 Richard Jozsa , Sergii Strelchuk

A central tenet of theoretical cryptography is the study of the minimal assumptions required to implement a given cryptographic primitive. One such primitive is the one-time memory (OTM), introduced by Goldwasser, Kalai, and Rothblum…

Quantum Physics · Physics 2020-06-15 Anne Broadbent , Sevag Gharibian , Hong-Sheng Zhou

We consider a new model for the testing of untrusted quantum devices, consisting of a single polynomial-time bounded quantum device interacting with a classical polynomial-time verifier. In this model we propose solutions to two tasks - a…

Quantum Physics · Physics 2021-05-06 Zvika Brakerski , Paul Christiano , Urmila Mahadev , Umesh Vazirani , Thomas Vidick

Quantum computing had a profound impact on cryptography. Shor's discovery of an efficient quantum algorithm for factoring large integers implies that many existing classical systems based on computational assumptions can be broken, once a…

Quantum Physics · Physics 2008-06-24 Stephanie Wehner
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