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With the constantly advancing capabilities of quantum computers, conventional cryptographic systems relying on complex math problems may encounter unforeseen vulnerabilities. Unlike regular computers, which are often deemed cost-ineffective…

Cryptography and Security · Computer Science 2024-09-18 Emils Bagirovs , Grigory Provodin , Tuomo Sipola , Jari Hautamäki

Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central problem solved by Shor's factoring algorithm. We suggest an…

Quantum Physics · Physics 2008-07-10 Andrew M. Childs , Leonard J. Schulman , Umesh V. Vazirani

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

Quantum computers promise to revolutionize our ability to simulate molecules, and cloud-based hardware is becoming increasingly accessible to a wide body of researchers. Algorithms such as Quantum Phase Estimation and the Variational…

Quantum Physics · Physics 2021-12-21 Kyle Sherbert , Frank Cerasoli , Marco Buongiorno Nardelli

It is of folkloric belief that the security of classical cryptographic protocols is automatically broken if the Adversary is allowed to perform superposition queries and the honest players forced to perform actions coherently on quantum…

Quantum Physics · Physics 2020-07-03 Luka Music , Céline Chevalier , Elham Kashefi

The rapid advancement of quantum computing poses a significant threat to many current security algorithms used for secure communication, digital authentication, and information encryption. A sufficiently powerful quantum computer could…

Cryptography and Security · Computer Science 2024-07-19 Basel Halak , Cristian Sebastian Csete , Edward Joyce , Jack Papaioannou , Alexandre Pires , Jin Soma , Betul Gokkaya , Michael Murphy

Currently there is an active Post-Quantum Cryptography (PQC) solutions search, which attempts to find cryptographic protocols resistant to attacks by means of for instance Shor polynomial time algorithm for numerical field problems like…

Cryptography and Security · Computer Science 2017-04-25 Pedro Hecht

We have taken significant steps towards the realization of a practical quantum computer: using nuclear spins and magnetic resonance techniques at room temperature, we provided proof of principle of quantum computing in a series of…

Quantum Physics · Physics 2009-09-29 Lieven M. K. Vandersypen

This paper shows several connections between data structure problems and cryptography against preprocessing attacks. Our results span data structure upper bounds, cryptographic applications, and data structure lower bounds, as summarized…

Data Structures and Algorithms · Computer Science 2024-11-14 Alexander Golovnev , Siyao Guo , Thibaut Horel , Sunoo Park , Vinod Vaikuntanathan

The rapid advancement of quantum computing poses a critical threat to classical cryptographic algorithms such as RSA and ECC, particularly in Internet of Things (IoT) devices, where secure communication is essential but often constrained by…

Cryptography and Security · Computer Science 2025-07-14 Jesus Lopez , Viviana Cadena , Mohammad Saidur Rahman

The realm of this thesis is cryptographic protocol theory in the quantum world. We study the security of quantum and classical protocols against adversaries that are assumed to exploit quantum effects to their advantage. Security in the…

Quantum Physics · Physics 2011-02-10 Carolin Lunemann

Shor's quantum factoring algorithm finds the prime factors of a large number exponentially faster than any other known method a task that lies at the heart of modern information security, particularly on the internet. This algorithm…

Quantum Physics · Physics 2009-11-09 Alberto Politi , Jonathan C. F. Matthews , Jeremy L. O'Brien

The long-term security of public blockchains strictly depends on the hardness assumptions of the underlying digital signature schemes. In the current scenario, most deployed cryptocurrencies and blockchain platforms rely on elliptic-curve…

Cryptography and Security · Computer Science 2026-01-27 Tushar Jain

A classical computer works with ones and zeros, whereas a quantum computer uses ones, zeros, and superpositions of ones and zeros, which enables quantum computers to perform a vast number of calculations simultaneously compared to classical…

Machine Learning · Computer Science 2021-10-15 Mhafuzul Islam , Mashrur Chowdhury , Zadid Khan , Sakib Mahmud Khan

One of the most promising and versatile approaches to creating new quantum algorithms is based on the quantum hidden subgroup (QHS) paradigm, originally suggested by Alexei Kitaev. This class of quantum algorithms encompasses the…

Quantum Physics · Physics 2007-05-23 Samuel J. Lomonaco , Louis H. Kauffman

We introduce a computational problem of distinguishing between two specific quantum states as a new cryptographic problem to design a quantum cryptographic scheme that is "secure" against any polynomial-time quantum adversary. Our problem,…

Quantum Physics · Physics 2016-05-25 Akinori Kawachi , Takeshi Koshiba , Harumichi Nishimura , Tomoyuki Yamakami

A quantum computer encodes information in quantum states and runs quantum algorithms to surpass the classical counterparts by exploiting quantum superposition and quantum correlation. Grover's quantum search algorithm is a typical quantum…

Quantum Physics · Physics 2023-08-23 Yutong Huang , Shengshi Pang

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao

Post-Quantum Cryptography PQC attempts to find cryptographic protocols resistant to attacks using Shors polynomial time algorithm for numerical field problems or Grovers algorithm to find the unique input to a black-box function that…

Cryptography and Security · Computer Science 2020-08-04 Pedro Hecht

The emergence of quantum computing poses a formidable security challenge to network protocols traditionally safeguarded by classical cryptographic algorithms. This paper provides an exhaustive analysis of vulnerabilities introduced by…

Cryptography and Security · Computer Science 2024-05-08 Yaser Baseri , Vikas Chouhan , Abdelhakim Hafid