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Cryptographic primitives are fundamental for information security: they are used as basic components for cryptographic protocols or public-key cryptosystems. In many cases, their security proofs consist in showing that they are reducible to…

Cryptography and Security · Computer Science 2009-04-08 David Nowak

Regarding minimal assumptions, most of classical cryptography is known to depend on the existence of One-Way Functions (OWFs). However, recent evidence has shown that this is not the case when considering quantum resources. Besides the well…

Quantum Physics · Physics 2024-10-11 Manuel Goulão , David Elkouss

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 2021-04-14 Anne Broadbent , Sevag Gharibian , Hong-Sheng Zhou

We give a meta-complexity characterization of EFI pairs, which are considered the "minimal" primitive in quantum cryptography (and are equivalent to quantum commitments). More precisely, we show that the existence of EFI pairs is equivalent…

Quantum Physics · Physics 2025-10-10 Bruno Cavalar , Boyang Chen , Andrea Coladangelo , Matthew Gray , Zihan Hu , Zhengfeng Ji , Xingjian Li

Recent work by Pijnenburg and Poettering (ESORICS'20) explores the novel cryptographic Encrypt-to-Self primitive that is dedicated to use cases of symmetric encryption where encryptor and decryptor coincide. The primitive is envisioned to…

Cryptography and Security · Computer Science 2020-09-08 Jeroen Pijnenburg , Bertram Poettering

Post-quantum cryptography currently rests on a small number of hardness assumptions, posing significant risks should any one of them be compromised. This vulnerability motivates the search for new and cryptographically versatile assumptions…

Quantum Physics · Physics 2026-03-20 Jonathan Z. Lu , Alexander Poremba , Yihui Quek , Akshar Ramkumar

We prove that it is impossible to construct perfect-complete quantum public-key encryption (QPKE) with classical keys from quantumly secure one-way functions (OWFs) in a black-box manner, resolving a long-standing open question in quantum…

Quantum Physics · Physics 2025-04-09 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu

Performing complex cryptographic tasks will be an essential element in future quantum communication networks. These tasks are based on a handful of fundamental primitives, such as coin flipping, where two distrustful parties wish to agree…

At Crypto 2011, some of us had proposed a family of cryptographic protocols for key establishment capable of protecting quantum and classical legitimate parties unconditionally against a quantum eavesdropper in the query complexity model.…

Quantum Physics · Physics 2021-03-23 Aleksandrs Belovs , Gilles Brassard , Peter Hoyer , Marc Kaplan , Sophie Laplante , Louis Salvail

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme…

Mathematical Physics · Physics 2011-12-26 Annalisa Marzuoli , Giandomenico Palumbo

We put forth Oblivious State Preparation (OSP) as a cryptographic primitive that unifies techniques developed in the context of a quantum server interacting with a classical client. OSP allows a classical polynomial-time sender to input a…

Quantum Physics · Physics 2024-11-08 James Bartusek , Dakshita Khurana

Although one-way functions are well-established as the minimal primitive for classical cryptography, a minimal primitive for quantum cryptography is still unclear. Universal extrapolation, first considered by Impagliazzo and Levin (1990),…

Quantum Physics · Physics 2025-04-15 Luowen Qian , Justin Raizes , Mark Zhandry

There has been a recent interest in proposing quantum protocols whose security relies on weaker computational assumptions than their classical counterparts. Importantly to our work, it has been recently shown that public-key encryption…

Quantum Physics · Physics 2023-11-08 Samuel Bouaziz--Ermann , Alex B. Grilo , Damien Vergnaud , Quoc-Huy Vu

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

Weak coin flipping is an important cryptographic primitive$\unicode{x2013}$it is the strongest known secure two-party computation primitive that classically becomes secure only under certain assumptions (e.g. computational hardness), while…

Quantum Physics · Physics 2025-12-03 Atul Singh Arora , Jérémie Roland , Chrysoula Vlachou , Stephan Weis

Quantum cryptography harnesses quantum light, in particular single photons, to provide security guarantees that cannot be reached by classical means. For each cryptographic task, the security feature of interest is directly related to the…

We investigate quantum analogues of collision resistance and obtain separations between quantum ``one-way'' and ``collision-resistant'' primitives. 1. Our first result studies one-wayness versus collision-resistance defined over quantum…

The bounded quantum storage model aims to achieve security against computationally unbounded adversaries that are restricted only with respect to their quantum memories. In this work, we provide information-theoretic secure constructions in…

Cryptography and Security · Computer Science 2025-06-05 Mohammed Barhoush , Louis Salvail

The seminal work by Impagliazzo and Rudich (STOC'89) demonstrated the impossibility of constructing classical public key encryption (PKE) from one-way functions (OWF) in a black-box manner. However, the question remains: can quantum PKE…

Quantum Physics · Physics 2024-05-31 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu