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The security of messages encoded via the widely used RSA public key encryption system rests on the enormous computational effort required to find the prime factors of a large number N using classical (i.e., conventional) computers. In 1994,…

Quantum Physics · Physics 2009-11-10 Edward Gerjuoy

Nowadays, predominant asymmetric cryptographic schemes are considered to be secure because discrete logarithms are believed to be hard to be computed. The algorithm of Shor can effectively compute discrete logarithms, i.e. it can brake such…

Cryptography and Security · Computer Science 2025-04-01 Johanna Barzen , Frank Leymann

In this paper, we report the first quantum key-recovery attack on a symmetric block cipher design, using classical queries only, with a more than quadratic time speedup compared to the best classical attack. We study the 2XOR-Cascade…

Quantum Physics · Physics 2021-10-07 Xavier Bonnetain , André Schrottenloher , Ferdinand Sibleyras

Another threat is the development of large quantum computers, which have a high likelihood of breaking the high popular security protocols because it can use both Shor and Grover algorithms. In order to fix this looming threat,…

Cryptography and Security · Computer Science 2025-12-23 Navin Chhibber , Amber Rastogi , Ankur Mahida , Vatsal Gupta , Piyush Ranjan

Quantum computers can execute algorithms that sometimes dramatically outperform classical computation. Undoubtedly the best-known example of this is Shor's discovery of an efficient quantum algorithm for factoring integers, whereas the same…

Quantum Physics · Physics 2017-08-23 Wim van Dam , Yoshitaka Sasaki

Quantum algorithm is a key tool for cryptanalysis. At present, people are committed to building powerful quantum algorithms and tapping the potential of quantum algorithms, so as to further analyze the security of cryptographic algorithms…

Quantum Physics · Physics 2023-01-18 Qianru Zhu , Huiqin Xie , Qiqing Xia , Li Yang

We report an experimental demonstration of a one-way implementation of a quantum algorithm solving Simon's Problem - a black box period-finding problem which has an exponential gap between the classical and quantum runtime. Using an…

Quantum Physics · Physics 2014-11-14 M. S. Tame , B. A. Bell , C. Di Franco , W. J. Wadsworth , J. G. Rarity

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

The rise of quantum computing threatens traditional cryptographic algorithms that secure Transportation Cyber-Physical Systems (TCPS). Shor's algorithm poses a significant threat to RSA and ECC, while Grover's algorithm reduces the security…

Cryptography and Security · Computer Science 2024-11-21 Abdullah Al Mamun , Akid Abrar , Mizanur Rahman , M Sabbir Salek , Mashrur Chowdhury

We describe an efficient quantum algorithm for computing discrete logarithms in semigroups using Shor's algorithms for period finding and discrete log as subroutines. Thus proposed cryptosystems based on the presumed hardness of discrete…

Quantum Physics · Physics 2015-01-23 Andrew M. Childs , Gábor Ivanyos

Shor's shockingly fast quantum algorithm for solving the period-finding problem is a threat for the most common public-key primitives, as it can be efficiently applied to solve both the Integer Factorisation Problem and the Discrete…

Cryptography and Security · Computer Science 2021-07-26 Nicola Di Chiano , Riccardo Longo , Alessio Meneghetti , Giordano Santilli

Modern cyberattacks are increasingly complex, posing significant challenges to classical machine learning methods, particularly when labeled data is limited and feature interactions are highly non-linear. In this study we investigates the…

Cryptography and Security · Computer Science 2026-01-06 Jessica A. Sciammarelli , Waqas Ahmed

As quantum computing advances toward practical deployment, it threatens a wide range of classical cryptographic mechanisms, including digital signatures, key exchange protocols, public-key encryption, and certain hash-based constructions…

Cryptography and Security · Computer Science 2025-12-16 Tushin Mallick , Maya Zeldin , Murat Cenk , Cristina Nita-Rotaru

Quantum computing offers significant acceleration capabilities over its classical counterpart in various application domains. Consequently, there has been substantial focus on improving quantum computing capabilities. However, to date, the…

Emerging Technologies · Computer Science 2024-01-04 Chao Lu , Esha Telang , Aydin Aysu , Kanad Basu

A cryptographic algorithm is proposed based on fully quantum mechanical keys and ciphers. Encryption and decryption are carried out via an appropriate measurement process on entangled states as governed by a quantum mechanical, asymmetrical…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Carlos Saavedra , Christoph H. Keitel

Collision-resistant hashing, a fundamental primitive in modern cryptography, ensures that there is no efficient way to find distinct inputs that produce the same hash value. This property underpins the security of various cryptographic…

Quantum Physics · Physics 2024-02-29 Yassine Hamoudi , Qipeng Liu , Makrand Sinha

We experimentally demonstrate quantum data compression exploiting hidden subgroup symmetries using a photonic quantum processor. Classical databases containing generalized periodicities-symmetries that are in the worst cases inefficient for…

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

Cryptography in the modern era is very important to prevent a cyber attack, as the world tends to be more and more digitalized. Classical cryptographic protocols mainly depend on the mathematical complicacy of encoding functions and the…

Quantum Physics · Physics 2021-10-04 Sinchan Ghosh , Harsh Mishra , Bikash K. Behera , Prasanta K. Panigrahi

This book arises from the need to provide a clear and up-to-date overview of the impacts of quantum computing on cryptography. The goal is to provide a reference in Portuguese for undergraduate, master's, and doctoral students in the field…

Cryptography and Security · Computer Science 2026-01-27 Darlan Noetzold , Valderi Reis Quietinho Leithardt