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Due to Shor's algorithm, quantum computers are a severe threat for public key cryptography. This motivated the cryptographic community to search for quantum-safe solutions. On the other hand, the impact of quantum computing on secret key…

Quantum Physics · Physics 2022-07-13 Marc Kaplan , Gaëtan Leurent , Anthony Leverrier , María Naya-Plasencia

We present new connections between quantum information and the field of classical cryptography. In particular, we provide examples where Simon's algorithm can be used to show insecurity of commonly used cryptographic symmetric-key…

Quantum Physics · Physics 2017-02-01 Thomas Santoli , Christian Schaffner

It has been established that quantum algorithms can solve several key cryptographic problems more efficiently than classical computers. As progress continues in the field of quantum computing it is important to understand the risks they…

Cryptography and Security · Computer Science 2020-05-13 Benjamin Harsha , Jeremiah Blocki

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

Simon's algorithm is a polynomial period-finding algorithm that has been used to exploit the algebraic structure of specific symmetric ciphers, showing that exponential speedups in their cryptanalysis are theoretically possible. While the…

Quantum Physics · Physics 2026-04-29 Anina Köhler , Jakob Murauer , Tim Heine , Stefan Rosemann , Tobias Hemmert

In symmetric cryptanalysis, the model of superposition queries has led to surprising results, with many constructions being broken in polynomial time thanks to Simon's period-finding algorithm. But the practical implications of these…

The quantum security of lightweight block ciphers is receiving more and more attention. However, the existing quantum attacks on lightweight block ciphers mainly focused on the quantum exhaustive search, while the quantum dedicated attacks…

Quantum Physics · Physics 2021-06-03 Hui Liu , Li Yang

The advent of quantum computing has profound implications for current technologies, offering advancements in optimization while posing significant threats to cryptographic algorithms. Public-key cryptosystems relying on prime factorization…

Quantum Physics · Physics 2026-04-17 Hasan Ozgur Cildiroglu , Oguz Yayla

We study quantum period finding algorithms such as Simon and Shor (and its variants Eker{\aa}-H{\aa}stad and Mosca-Ekert). For a periodic function $f$ these algorithms produce -- via some quantum embedding of $f$ -- a quantum superposition…

Cryptography and Security · Computer Science 2021-02-16 Alexander May , Lars Schlieper

Quantum computers, that may become available one day, would impact many scientific fields, most notably cryptography since many asymmetric primitives are insecure against an adversary with quantum capabilities. Cryptographers are already…

Quantum Physics · Physics 2017-03-08 Marc Kaplan , Gaëtan Leurent , Anthony Leverrier , María Naya-Plasencia

Dating to 1994, Simon's period-finding algorithm is among the earliest and most fragile of quantum algorithms. The algorithm's fragility arises from the requirement that, to solve an n qubit problem, one must fault-tolerantly sample O(n)…

Quantum computers offer the potential to simulate nuclear processes that are classically intractable. With the goal of understanding the necessary quantum resources to realize this potential, we employ state-of-the-art…

Algorithms for triangle-finding, the smallest nontrivial instance of the k-clique problem, have been proposed for quantum computers. Still, those algorithms assume the use of fixed access time quantum RAM (QRAM). We present a practical…

Quantum Physics · Physics 2021-02-23 Sara Ayman Metwalli , Francois Le Gall , Rodney Van Meter

Advanced Encryption Standard is one of the most widely used and important symmetric ciphers for today. It well known, that it can be subjected to the quantum Grover's attack that twice reduces its key strength. But full AES attack requires…

Quantum Physics · Physics 2023-04-12 Alexey Moiseevskiy

We consider both the classical and quantum variations of $X$-secure, $E$-eavesdropped and $T$-colluding symmetric private information retrieval (SPIR). This is the first work to study SPIR with $X$-security in classical or quantum…

Information Theory · Computer Science 2023-08-22 Alptug Aytekin , Mohamed Nomeir , Sajani Vithana , Sennur Ulukus

Recently, a new type of attack, which exploits the efficiency mismatch of two single photon detectors (SPD) in a quantum key distribution (QKD) system, has been proposed. In this paper, we propose another "time-shift" attack that exploits…

Quantum Physics · Physics 2007-05-23 Bing Qi , Chi-Hang Fred Fung , Hoi-Kwong Lo , Xiongfeng Ma

Performance of cryptanalytic quantum search algorithms is mainly inferred from query complexity which hides overhead induced by an implementation. To shed light on quantitative complexity analysis removing hidden factors, we provide a…

Cryptography and Security · Computer Science 2018-11-02 Panjin Kim , Kyung Chul Jeong , Daewan Han

Grover's search algorithm gives a quantum attack against block ciphers by searching for a key that matches a small number of plaintext-ciphertext pairs. This attack uses $O(\sqrt{N})$ calls to the cipher to search a key space of size $N$.…

Quantum Physics · Physics 2019-10-07 Samuel Jaques , Michael Naehrig , Martin Roetteler , Fernando Virdia

Quantum computers can break the RSA and El Gamal public-key cryptosystems, since they can factor integers and extract discrete logarithms. If we believe that quantum computers will someday become a reality, we would like to have…

Cryptography and Security · Computer Science 2010-10-19 Hang Dinh , Cristopher Moore , Alexander Russell

Exploring the symmetries underlying a previously proposed encryption scheme which relies on single-qubit rotations, we derive an improved upper bound on the maximum information that an eavesdropper might extract from all the available…

Quantum Physics · Physics 2012-03-02 U. Seyfarth , G. M. Nikolopoulos , G. Alber
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