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We study community detection in the \emph{symmetric $k$-stochastic block model}, where $n$ nodes are evenly partitioned into $k$ clusters with intra- and inter-cluster connection probabilities $p$ and $q$, respectively. Our main result is a…

Machine Learning · Statistics 2025-11-21 Jingqiu Ding , Yiding Hua , Kasper Lindberg , David Steurer , Aleksandr Storozhenko

The steady advancement in quantum computer error correction technology has pushed the current record to 48 stable logical qubits, bringing us closer to machines capable of running Shor's algorithm at scales that threaten RSA and ECC…

Cryptography and Security · Computer Science 2025-09-03 Nicolas Rodriguez-Alvarez , Fernando Rodriguez-Merino

Quantum secret sharing (QSS) is a typical multipartite cryptographic primitive, which is an important part of quantum communication network. Existing QSS protocols generally require basis selection and matching, which would increase the…

Quantum Physics · Physics 2025-03-27 Cheng Zhang , Fu-Le Hao , Shi-Pu Gu , Xing-Fu Wang , Lan Zhou , Yu-Bo Sheng

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

Cryptography and Security · Computer Science 2015-01-20 M. Andrecut

Cognitive radio that supports a secondary and opportunistic access to licensed spectrum shows great potential to dramatically improve spectrum utilization. Spectrum sensing performed by secondary users to detect unoccupied spectrum bands,…

Information Theory · Computer Science 2009-05-29 Yan Xin , Honghai Zhang

Quantum random numbers are essential for security against quantum algorithms. Randomness as a beacon is a service being provided for companies and governments to upgrade their security standards from RSA to PQC-QKD or PQC-RSA protocols.…

Quantum Physics · Physics 2025-04-30 Vardaan Mongia , Abhishek Kumar , Shashi Prabhakar , R. P. Singh

Shor algorithm led to the discovery of multiple vulnerabilities in a number of cryptosystems. As a result, post-quantum cryptography attempts to provide cryptographic solutions that can face these attacks, ensuring the security of sensitive…

Quantum Physics · Physics 2025-04-01 I. Cherkaoui , S. Belabssir , J. Horgan , I. Dey

Quantum secret sharing is a cryptographic scheme that enables a secure storage and reconstruction of quantum information. While the theory of secret sharing is mature in its development, relatively few studies have explored the performance…

Quantum Physics · Physics 2025-11-04 Jay Graves , Mike Nelson , Eric Chitambar

Stochastic block partitioning (SBP) is a community detection algorithm that is highly accurate even on graphs with a complex community structure, but its inherently serial nature hinders its widespread adoption by the wider scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-31 Frank Wanye , Vitaliy Gleyzer , Edward Kao , Wu-chun Feng

Quantum key distribution (QKD) gradually has become a crucial element of practical secure communication. In different scenarios, the security analysis of genuine QKD systems is complicated. A universal secret key rate calculation method,…

Quantum Physics · Physics 2021-09-13 Zehong Chang , Fumin Wang , Xiaoli Wang , Xiaofei Liu , Rongqian Wu , Yi lv , Pei Zhang

It is well known that n bits of entropy are necessary and sufficient to perfectly encrypt n bits (one-time pad). Even if we allow the encryption to be approximate, the amount of entropy needed doesn't asymptotically change. However, this is…

Quantum Physics · Physics 2015-06-26 Iordanis Kerenidis , Daniel Nagaj

Randomness extraction is an essential post-processing step in practical quantum cryptography systems. When statistical fluctuations are taken into consideration, the requirement of large input data size could heavily penalise the speed and…

Quantum Physics · Physics 2024-04-09 Hong Jie Ng , Wen Yu Kon , Ignatius William Primaatmaja , Chao Wang , Charles Lim

We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups. In particular we describe a scheme that would appear…

Group Theory · Mathematics 2019-02-18 James Renshaw

Security of information transmitted through the Internet, against passive or active attacks is an international concern. The use of a chaos-based pseudo-random bit sequence to make it unrecognizable by an intruder, is a field of research in…

Cryptography and Security · Computer Science 2010-04-15 Qianxue Wang , Christophe Guyeux , Jacques M. Bahi

Nowadays random number generation plays an essential role in technology with important applications in areas ranging from cryptography, which lies at the core of current communication protocols, to Monte Carlo methods, and other…

Based on Restricted Boltzmann Machines (RBMs), an improved pseudo-stochastic sequential cipher generator is proposed. It is effective and efficient because of the two advantages: this generator includes a stochastic neural network that can…

Cryptography and Security · Computer Science 2016-08-18 Fei Hu , Xiaofei Xu , Tao Peng , Changjiu Pu , Li Li

We revisit the 3-pass code-based identification scheme proposed by Stern at Crypto'93, and give a new 5-pass protocol for which the probability of the cheater is 1/2 (instead of 2/3 in the original Stern's proposal). Furthermore, we propose…

Cryptography and Security · Computer Science 2010-01-19 Pierre-Louis Cayrel , Pascal Veron

Quantum secure signature schemes have a lot of attention recently, in particular because of the NIST call to standardize quantum safe cryptography. However, only few signature schemes can have concrete quantum security because of technical…

Quantum Physics · Physics 2017-09-21 André Chailloux , Thomas Debris-Alazard

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

Quantum secret sharing (QSS) enables a dealer to securely distribute keys to multiple players. Device-independent (DI) QSS can resist all possible attacks from practical imperfect devices and provide QSS the highest level of security in…