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In this paper, we identify many important properties and develop criteria for the existence of subquasigroups in finite quasigroups. Based on these results, we propose an effective method that concludes the nonexistence of subquasigroup of…

Combinatorics · Mathematics 2021-12-13 V. A. Artamonov , Sucheta Chakrabarti , Sharwan K. Tiwari , V. T. Markov

In this paper, we present a simple bare-bones solution of a Zero-Knowledge authentication protocol which uses non-commutative algebra and a variation of the generalized symmetric decomposition problem (GSDP) as a one-way function. The…

Cryptography and Security · Computer Science 2017-03-28 Pedro Hecht

The Maximum Likelihood Decoding Problem (MLD) is known to be NP-hard and its complexity is strictly related to the security of some post-quantum cryptosystems, that is, the so-called code-based primitives. Analogously, the Multivariate…

Computational Complexity · Computer Science 2024-10-21 Alessio Meneghetti , Alex Pellegrini , Massimiliano Sala

The aim of this paper is to elucidate the implications of quantum computing in present cryptography and to introduce the reader to basic post-quantum algorithms. In particular the reader can delve into the following subjects: present…

Cryptography and Security · Computer Science 2018-04-03 Vasileios Mavroeidis , Kamer Vishi , Mateusz D. Zych , Audun Jøsang

We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryption protocols. Here we…

Quantum Physics · Physics 2013-02-28 Li Yang , Chong Xiang , Bao Li

Mayers, Lo and Chau argued that all quantum bit commitment protocols are insecure, because there is no way to prevent an Einstein-Podolsky-Rosen (EPR) cheating attack. However, Yuen presented some protocols which challenged the previous…

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano

We initiate a systematic study of pseudo-deterministic quantum algorithms. These are quantum algorithms that, for any input, output a canonical solution with high probability. Focusing on the query complexity model, our main contributions…

Quantum Physics · Physics 2026-02-20 Hugo Aaronson , Tom Gur , Jiawei Li

The emergence of quantum computing poses a fundamental threat to current public key cryptographic systems. This threat is necessitating a transition to quantum resistant cryptographic alternatives in all the applications. In this work, we…

Cryptography and Security · Computer Science 2026-01-22 Aditi Gandhi , Aakankshya Das , Aswani Kumar Cherukuri

Combined with one-time pad encryption scheme, quantum key distribution guarantees the unconditional security of communication in theory. However, error correction and privacy amplification in the post-processing phase of quantum key…

Quantum Physics · Physics 2021-12-21 Junbing Fang , Zhengzhong Yi , Jin Li , Zhipeng Liang , Yulin Wu , Wen Lei , Zoe Lin Jiang , Xuan Wang

Secure key leasing (SKL) is an advanced encryption functionality that allows a secret key holder to generate a quantum decryption key and securely lease it to a user. Once the user returns the quantum decryption key (or provides a classical…

Cryptography and Security · Computer Science 2025-02-25 Fuyuki Kitagawa , Ryo Nishimaki , Nikhil Pappu

Quantum computing is a significant risk to classical cryptographic, especially RSA, which depends on the difficulty of factoring large numbers. Classical factorization methods, such as Trial Division and Pollard's Rho, are inefficient for…

Other Computer Science · Computer Science 2026-02-20 Md. Ismiel Hossen Abir

Quantum Key Distribution(QKD) thrives to achieve perfect secrecy of One time Pad (OTP) through quantum processes. One of the crucial components of QKD are Quantum Random Number Generators(QRNG) for generation of keys. Unfortunately, these…

Cryptography and Security · Computer Science 2023-11-07 Arun Mishra , Kanaka Raju Pandiri , Anupama Arjun Pandit , Lucy Sharma

Quantum measurements are crucial for quantum technologies and give rise to some of the most classically counter-intuitive quantum phenomena. As such, the ability to certify the presence of genuinely non-classical joint measurements in a…

Quantum Physics · Physics 2019-05-13 Ciarán M. Lee

Blockchains have gained substantial attention from academia and industry for their ability to facilitate decentralized trust and communications. However, the rapid progress of quantum computing poses a significant threat to the security of…

Cryptography and Security · Computer Science 2024-09-04 Zebo Yang , Haneen Alfauri , Behrooz Farkiani , Raj Jain , Roberto Di Pietro , Aiman Erbad

By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme…

Mathematical Physics · Physics 2011-12-26 Annalisa Marzuoli , Giandomenico Palumbo

I study the class of problems efficiently solvable by a quantum computer, given the ability to "postselect" on the outcomes of measurements. I prove that this class coincides with a classical complexity class called PP, or Probabilistic…

Quantum Physics · Physics 2007-05-23 Scott Aaronson

Crypto-wallets or digital asset wallets are a crucial aspect of managing cryptocurrencies and other digital assets such as NFTs. However, these wallets are not immune to security threats, particularly from the growing risk of quantum…

Cryptography and Security · Computer Science 2023-08-30 Yathin Kethepalli , Rony Joseph , Sai Raja Vajrala , Jashwanth Vemula , Nenavath Srinivas Naik

Post-quantum cryptography is inevitable. National Institute of Standards and Technology (NIST) starts standardizing quantum-resistant public-key cryptography (aka post-quantum cryptography). The reason is that investment in quantum…

Quantum Physics · Physics 2022-08-02 Quan Thoi Minh Nguyen

In this paper, we present a new diverse class of post-quantum group-based Digital Signature Schemes (DSS). The approach is significantly different from previous examples of group-based digital signatures and adopts the framework of group…

Cryptography and Security · Computer Science 2023-06-28 Christopher Battarbee , Delaram Kahrobaei , Ludovic Perret , Siamak F. Shahandashti

Attempts to separate the power of classical and quantum models of computation have a long history. The ultimate goal is to find exponential separations for computational problems. However, such separations do not come a dime a dozen: while…

Quantum Physics · Physics 2013-12-05 Martin Roetteler