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Shor's quantum factoring algorithm and a few other efficient quantum algorithms break many classical crypto-systems. In response, people proposed post-quantum cryptography based on computational problems that are believed hard even for…

Quantum Physics · Physics 2014-09-09 Fang Song

This review examines how quantum computing and artificial intelligence challenge current cryptographic systems. We analyze the literature to assess the resilience of algorithms against quantum attacks (Shor's and Grover's algorithms) and…

Cryptography and Security · Computer Science 2026-03-10 Viraaji Mothukuri , Reza M. Parizi

This paper considers the quantum query complexity of {\it $\eps$-biased oracles} that return the correct value with probability only $1/2 + \eps$. In particular, we show a quantum algorithm to compute $N$-bit OR functions with…

Quantum Physics · Physics 2007-05-23 Tomoya Suzuki , Shigeru Yamashita , Masaki Nakanishi , Katsumasa Watanabe

Quantitative Structure-Activity Relationship (QSAR) modeling is a cornerstone of computational drug discovery. This research demonstrates the successful application of a Quantum Multiple Kernel Learning (QMKL) framework to enhance QSAR…

Quantum Physics · Physics 2025-12-17 Alejandro Giraldo , Daniel Ruiz , Mariano Caruso , Javier Mancilla , Guido Bellomo

Quantum Key Recycling (QKR) is a quantum-cryptographic primitive that allows one to re-use keys in an unconditionally secure way. By removing the need to repeatedly generate new keys it improves communication efficiency. Skoric and de Vries…

Quantum Physics · Physics 2017-04-18 Daan Leermakers , Boris Skoric

The current paper improves the number of queries of the previous quantum multi-collision finding algorithms presented by Hosoyamada et al. at Asiacrypt 2017. Let an $l$-collision be a tuple of $l$ distinct inputs that result in the same…

Cryptography and Security · Computer Science 2019-01-29 Akinori Hosoyamada , Yu Sasaki , Seiichiro Tani , Keita Xagawa

Quantum-based cryptographic protocols are often said to enjoy security guaranteed by the fundamental laws of physics. However, even carefully designed quantum-based cryptographic schemes may be susceptible to subtle attacks that are outside…

Quantum Physics · Physics 2007-05-23 Hoi-Kwong Lo , Tsz-Mei Ko

Quantum computing leverages quantum mechanics to address computational problems in ways that differ fundamentally from classical approaches. While current quantum hardware remains error-prone and limited in scale, Variational Quantum…

Quantum Physics · Physics 2025-09-16 Michael Kölle , Simon Salfer , Tobias Rohe , Philipp Altmann , Claudia Linnhoff-Popien

The All-Pairs Shortest Path problem (APSP) is one of the most central problems in distributed computation. In the CONGEST-CLIQUE model, in which $n$ nodes communicate with each other over a fully connected network by exchanging messages of…

Quantum Physics · Physics 2021-10-05 Taisuke Izumi , François Le Gall

Quantum computers have the potential to break classical cryptographic systems by efficiently solving problems such as the elliptic curve discrete logarithm problem using Shor's algorithm. While resource estimates for factoring-based…

Quantum Physics · Physics 2025-10-28 Quan Gu , Han Ye , Junjie Chen , Xiongfeng Ma

Nonlinear boolean equation systems play an important role in a wide range of applications. Grover's algorithm is one of the best-known quantum search algorithms in solving the nonlinear boolean equation system on quantum computers. In this…

Quantum Physics · Physics 2024-10-16 Xiang Li , Hanxiang Shen , Weiguo Gao , Yingzhou Li

How can we use a quantum computer to detect the entanglement structure of a quantum state? Bouland et al. (2024) recently provided an algorithm that, given multiple input copies of the state, finds the "hidden cuts"-partitions into fully…

Quantum Physics · Physics 2026-03-18 Petar Simidzija , Eugene Koskin , Elton Yechao Zhu , Michael Dascal , Maria Schuld

In LFSR-based stream ciphers, the knowledge of the feedback equation of the LFSR plays a critical role in most attacks. In word-based stream ciphers such as those in the SNOW series, even if the feedback configuration is hidden, knowing the…

Cryptography and Security · Computer Science 2023-07-06 Subrata Nandi , Srinivasan Krishnaswamy , Pinaki Mitra

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

The Feistel scheme is an important structure in the block ciphers. The security of the Feistel scheme is related to distinguishability with a random permutation. In this paper, efficient quantum algorithms for distinguishing classical…

Quantum Physics · Physics 2017-02-28 Hong Wang , Zhi Ma

The development of large quantum computers will have dire consequences for cryptography. Most of the symmetric and asymmetric cryptographic algorithms are vulnerable to quantum algorithms. Grover's search algorithm gives a square root time…

Cryptography and Security · Computer Science 2022-02-08 Ritik Bavdekar , Eashan Jayant Chopde , Ashutosh Bhatia , Kamlesh Tiwari , Sandeep Joshua Daniel , Atul

Quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to Quadratic Unconstrained Binary Optimization (QUBO) problems. However, the…

Rank Decoding (RD) is the main underlying problem in rank-based cryptography. Based on this problem and quasi-cyclic versions of it, very efficient schemes have been proposed recently, such as those in the ROLLO and RQC submissions, which…

Cryptography and Security · Computer Science 2021-02-10 Magali Bardet , Maxime Bros , Daniel Cabarcas , Philippe Gaborit , Ray Perlner , Daniel Smith-Tone , Jean-Pierre Tillich , Javier Verbel

One of the main goals of coding theory is to construct codes with best possible parameters and properties. A special class of codes called quasi-twisted (QT) codes is well-known to produce codes with good parameters. Most of the work on QT…

Information Theory · Computer Science 2021-08-25 Dev Akre , Nuh Aydin , Matthew J. Harrington , Saurav R. Pandey

Due to the powerful computing capability of quantum computers, cryptographic researchers have applied quantum algorithms to cryptanalysis and obtained many interesting results in recent years. In this paper, we study related-key attack in…

Quantum Physics · Physics 2018-08-13 Huiqin Xie , Li Yang