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Shor's factoring algorithm (SFA), by its ability to efficiently factor large numbers, has the potential to undermine contemporary encryption. At its heart is a process called order finding, which quantum mechanics lets us perform…

Quantum Physics · Physics 2017-03-03 Frédéric Grosshans , Thomas Lawson , François Morain , Benjamin Smith

With the development of Shor's algorithm, some nondeterministic polynomial (NP) time problems (e.g. prime factorization problems and discrete logarithm problems) may be solved in polynomial time. In recent years, although some homomorphic…

Cryptography and Security · Computer Science 2024-02-23 Abel C. H. Chen

Attacks on classical cryptographic protocols are usually modeled by allowing an adversary to ask queries from an oracle. Security is then defined by requiring that as long as the queries satisfy some constraint, there is some problem the…

Quantum Physics · Physics 2011-09-01 Ivan Damgaard , Jakob Funder , Jesper Buus Nielsen , Louis Salvail

We introduce the pseudorandom quantum authentication scheme (PQAS), an efficient method for encrypting quantum states that relies solely on the existence of pseudorandom unitaries (PRUs). The scheme guarantees that for any eavesdropper with…

Quantum Physics · Physics 2025-01-03 Tobias Haug , Nikhil Bansal , Wai-Keong Mok , Dax Enshan Koh , Kishor Bharti

Advances in quantum computing threaten digital communication security by undermining the foundations of current public-key cryptography through Shor's quantum algorithm. This has driven the development of Post-Quantum Cryptography (PQC), a…

Cryptography and Security · Computer Science 2026-03-09 Callum Turino , William J Buchanan , Owen Lo , Christoph Thuummler

We show how to construct pseudorandom permutations (PRPs) that remain secure even if the adversary can query the permutation, both in the forward and reverse directions, on a quantum superposition of inputs. Such quantum-secure PRPs have…

Cryptography and Security · Computer Science 2025-04-09 Mark Zhandry

In this paper, we propose a novel construction for a symmetric encryption scheme, referred as SEBQ which is based on the structure of quasigroup. We utilize concepts of chaining like mode of operation and present a block cipher with…

Cryptography and Security · Computer Science 2024-08-09 Satish Kumar , Harshdeep Singh , Indivar Gupta , Ashok Ji Gupta

Shor's and Grover's algorithms' efficiency and the advancement of quantum computers imply that the cryptography used until now to protect one's privacy is potentially vulnerable to retrospective decryption, also known as \emph{harvest now,…

Cryptography and Security · Computer Science 2025-03-14 Denis Berger , Mouad Lemoudden , William J Buchanan

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

Key-length extension (KLE) techniques provide a general approach to enhancing the security of block ciphers by using longer keys. There are mainly two classes of KLE techniques, cascade encryption and XOR-cascade encryption. This paper…

Cryptography and Security · Computer Science 2025-11-13 Min Liang , Ruihao Gao , Jiali Wu

The use of alternative operations in differential cryptanalysis, or alternative notions of differentials, are lately receiving increasing attention. Recently, Civino et al. managed to design a block cipher which is secure w.r.t. classical…

Cryptography and Security · Computer Science 2024-01-10 Marco Calderini , Roberto Civino , Riccardo Invernizzi

We study the (in)feasibility of quantum pseudorandom notions in a quantum analog of the random oracle model, where all the parties, including the adversary, have oracle access to the same Haar random unitary. In this model, we show the…

Quantum Physics · Physics 2024-10-28 Prabhanjan Ananth , John Bostanci , Aditya Gulati , Yao-Ting Lin

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

Quantum Physics · Physics 2024-11-12 Takashi Yamakawa , Mark Zhandry

Quantum query complexity is typically characterized in terms of XOR queries |x,y> to |x,y+f(x)> or phase queries, which ensure that even queries to non-invertible functions are unitary. When querying a permutation, another natural model is…

Quantum Physics · Physics 2025-09-18 Blake Holman , Ronak Ramachandran , Justin Yirka

Multitenancy increases throughput and reduces costs in cloud-based quantum computing, but concurrent job execution introduces security risks through inter-circuit crosstalk. We characterize the structural predictability of these…

Quantum Physics · Physics 2026-05-04 Andrew Woods , Chi-Ren Shyu

This paper presents a hardware-conscious analysis of the quantum acceleration of the classical 3-round Keccak-256 preimage attack using Grover's Algorithm. While the theoretical quantum speed-up from T_cl=2^{57.8} (classical) to T_qu =…

Quantum Physics · Physics 2025-12-18 Ramin Rezvani Gilkolae

We construct simulation-secure one-time memories (OTM) in the random oracle model, and present a plausible argument for their security against quantum adversaries with bounded and adaptive depth. Our contributions include: (1) A simple…

Quantum Physics · Physics 2026-03-17 Lev Stambler

Due to the superiority of quantum computing, traditional cryptography is facing severe threat. This makes the security evaluation of cryptographic systems in quantum attack models significant and urgent. For symmetric ciphers, the security…

Quantum Physics · Physics 2024-07-16 Huiqin Xie , Qiqing Xia , Ke Wang , Yanjun Li , Li Yang

Shor's algorithm efficiently solves factoring and discrete logarithm problems using quantum computers, compromising all public key schemes used today. These schemes rely on assumptions on their computational complexity, which quantum…

Quantum Physics · Physics 2025-02-25 Jaime S. Buruaga , Ruben B. Méndez , Juan P. Brito , Vicente Martin

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