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We propose a novel hybrid universal network-coding cryptosystem (HUNCC) to obtain secure post-quantum cryptography at high communication rates. The secure network-coding scheme we offer is hybrid in the sense that it combines…

Information Theory · Computer Science 2020-09-07 Alejandro Cohen , Rafael G. L. D'Oliveira , Salman Salamatian , Muriel Medard

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

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

Quantum-mechanical devices have the potential to transform cryptography. Most research in this area has focused either on the information-theoretic advantages of quantum protocols or on the security of classical cryptographic schemes…

Cryptography plays a pivotal role in safeguarding sensitive information and facilitating secure communication. Classical cryptography relies on mathematical computations, whereas quantum cryptography operates on the principles of quantum…

Cryptography and Security · Computer Science 2024-03-31 Tanmay Tripathi , Abhinav Awasthi , Shaurya Pratap Singh , Atul Chaturvedi

Cryptographic group actions are a leading contender for post-quantum cryptography, and have also been used in the development of quantum cryptographic protocols. In this work, we explore quantum state group actions, which consist of a group…

Quantum Physics · Physics 2024-10-14 Saachi Mutreja , Mark Zhandry

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences…

Quantum Physics · Physics 2009-04-17 Daniel Gottesman

Is it possible to convert classical cryptographic reductions into post-quantum ones? It is customary to argue that while this is problematic in the interactive setting, non-interactive reductions do carry over. However, when considering…

Quantum Physics · Physics 2022-03-07 Nir Bitansky , Zvika Brakerski , Yael Tauman Kalai

The meteoric rise in power and popularity of machine learning models dependent on valuable training data has reignited a basic tension between the power of running a program locally and the risk of exposing details of that program to the…

Quantum Physics · Physics 2025-01-03 Sam Gunn , Ramis Movassagh

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman

Quantum cryptographic definitions are often sensitive to the number of copies of the cryptographic states revealed to an adversary. Making definitional changes to the number of copies accessible to an adversary can drastically affect…

Quantum Physics · Physics 2026-03-10 Prabhanjan Ananth , Eli Goldin

This work revisits the security of classical signatures and ring signatures in a quantum world. For (ordinary) signatures, we focus on the arguably preferable security notion of blind-unforgeability recently proposed by Alagic et al.…

Quantum Physics · Physics 2021-12-14 Rohit Chatterjee , Kai-Min Chung , Xiao Liang , Giulio Malavolta

This paper introduces a novel lower bound on communication complexity using quantum relative entropy and mutual information, refining previous classical entropy-based results. By leveraging Uhlmann's lemma and quantum Pinsker inequalities,…

Quantum Physics · Physics 2025-07-29 Fengxia Liu , Zhiyong Zheng , Kun Tian , Yi Zhang , Heng Guo , Zhe Hu , Oleksiy Zhedanov , Zixian Gong

The Learning Parity with Noise (LPN) problem underlines several classic cryptographic primitives. Researchers have attempted to demonstrate the algorithmic hardness of this problem by finding reductions from the decoding problem of linear…

Information Theory · Computer Science 2025-03-19 Madhura Pathegama , Alexander Barg

Quantum cryptography exploits principles of quantum physics for the secure processing of information. A prominent example is secure communication, i.e., the task of transmitting confidential messages from one location to another. The…

Quantum Physics · Physics 2022-07-13 Christopher Portmann , Renato Renner

The security of code-based cryptography relies primarily on the hardness of generic decoding with linear codes. The best generic decoding algorithms are all improvements of an old algorithm due to Prange: they are known under the name of…

Cryptography and Security · Computer Science 2017-02-09 Thomas Debris-Alazard , Jean-Pierre Tillich

An overview on current developments in post quantum cryptography

Cryptography and Security · Computer Science 2018-09-13 Xenia Bogomolec , Jochen Gerhard

In this work, we study the hardness required to achieve proofs of quantumness (PoQ), which in turn capture (potentially interactive) quantum advantage. A ``trivial'' PoQ is to simply assume an average-case hard problem for classical…

Quantum Physics · Physics 2025-10-10 Kabir Tomer , Mark Zhandry

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

Quantum error correction is an essential technique for constructing a scalable quantum computer. In order to implement quantum error correction with near-term quantum devices, a fast and near-optimal decoding method is demanded. A decoder…

Quantum Physics · Physics 2020-09-16 Amarsanaa Davaasuren , Yasunari Suzuki , Keisuke Fujii , Masato Koashi