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In this work, a long-cavity semiconductor laser subject to optical feedback is exploited to generate repetitive temporal patterns with enhanced intra-pattern sample diversity. Stable limit cycle dynamics characterized by multiple frequency…

Optics · Physics 2025-10-14 Apostolos Argyris

The performance of ``typical set (pairs) decoding'' for ensembles of Gallager's linear code is investigated using statistical physics. In this decoding, error happens when the information transmission is corrupted by an untypical noise or…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yoshiyuki Kabashima , Kazutaka Nakamura , Jort van Mourik

The statistical distribution, when determined from an incomplete set of constraints, is shown to be suitable as host for encrypted information. We design an encoding/decoding scheme to embed such a distribution with hidden information. The…

Statistical Mechanics · Physics 2015-06-25 L. Rebollo-Neira , A Plastino

The notion of replicable algorithms was introduced in Impagliazzo et al. [STOC '22] to describe randomized algorithms that are stable under the resampling of their inputs. More precisely, a replicable algorithm gives the same output with…

Machine Learning · Computer Science 2023-03-28 Mark Bun , Marco Gaboardi , Max Hopkins , Russell Impagliazzo , Rex Lei , Toniann Pitassi , Satchit Sivakumar , Jessica Sorrell

Filtered diode array spectrometers are routinely employed to infer the temporal evolution of spectral power from x-ray sources, but uniquely extracting spectral content from a finite set of broad, spectrally overlapping channel spectral…

Computational Physics · Physics 2020-08-03 G. E. Kemp , M. S. Rubery , C. D. Harris , M. J. May , K. Widmann , R. F. Heeter , S. B. Libby , M. B. Schneider , B. E. Blue

We investigate how to measure and define the entropy of a simple chaotic system, three hard spheres on a ring. A novel approach is presented, which does not assume the ergodic hypothesis. It consists of transforming the particles collision…

Computational Physics · Physics 2023-05-08 Matej Vedak , Graeme J Ackland

Tensors are a fundamental operation in distributed computing, \emph{e.g.,} machine learning, that are commonly distributed into multiple parallel tasks for large datasets. Stragglers and other failures can severely impact the overall…

Information Theory · Computer Science 2024-10-30 Pedro Soto

Because of their capacity-approaching performance, graph-based codes have a wide range of applications, including communications and storage. In these codes, unequal error protection (UEP) can offer performance gains with limited rate loss.…

Information Theory · Computer Science 2021-01-25 Beyza Dabak , Ahmed Hareedy , Alexei Ashikhmin , Robert Calderbank

As an example of the recently-introduced concept of rate of innovation, signals that are linear combinations of a finite number of Diracs per unit time can be acquired by linear filtering followed by uniform sampling. However, in reality,…

Applications · Statistics 2009-03-09 Vincent Y. F. Tan , Vivek K. Goyal

The idea of post-measurement coincidence pairing simplifies substantially long-distance, repeater-like quantum key distribution (QKD) by eliminating the need for tracking the differential phase of the users' lasers. However, optical…

Quantum Physics · Physics 2024-07-23 Chengfang Ge , Lai Zhou , Jinping Lin , Hua-Lei Yin , Qiang Zeng , Zhiliang Yuan

Secure sketch produces public information of its input $w$ without revealing it, yet, allows the exact recovery of $w$ given another value $w'$ that is close to $w$. Therefore, it can be used to reliably reproduce any error-prone secret…

Information Theory · Computer Science 2020-01-22 Yen-Lung Lai

Fraud detection models in payment networks train on chargeback labels that are systematically biased. Every label must survive three sequential gates: authorization (declined transactions generate no labels), issuer reporting (unreported…

Machine Learning · Computer Science 2026-05-29 Gaurav Dhama

We study the fundamental limits to secret key generation from an excited distributed source (EDS). In an EDS a pair of terminals observe dependent sources of randomness excited by a pre-arranged signal. We first determine the secret key…

Information Theory · Computer Science 2016-11-17 Tzu-Han Chou , Stark C. Draper , Akbar M. Sayeed

We consider in this paper the information-theoretic secure key distribution problem over main and wire-tap noise channels with a public discussion in presence of an active adversary. In contrast to the solution proposed by ourselves for a…

Information Theory · Computer Science 2010-05-19 Viktor Yakovlev , Valery Korzhik , Guillermo Morales-Luna , Mihail Bakaev

We present a simple approach to realize truly random number generation based on measurement of the phase noise of a single mode vertical cavity surface emitting laser (VCSEL). The true randomness of the quantum phase noise originates from…

Quantum Physics · Physics 2013-05-29 Hong Guo , Wenzhuo Tang , Yu Liu , Wei Wei

Quantum Random Number Generators provide true physical randomness based on quantum processes, essential for cryptographic and scientific applications. However, practical implementations face challenges in robustness and verifiability:…

Quantum Physics · Physics 2025-10-31 Rodrigo Piera , Gianluca De Santis , Agustin Sanchez , Yury Kurochkin , James A. Grieve

The speed of a quantum random number generator is essential for practical applications, such as high-speed quantum key distribution systems. Here, we push the speed of a quantum random number generator to 68 Gbps by operating a laser around…

Quantum Physics · Physics 2015-06-17 You-Qi Nie , Leilei Huang , Yang Liu , Frank Payne , Jun Zhang , Jian-Wei Pan

Quantum key distribution over probabilistic quantum repeaters is addressed. We compare, under practical assumptions, two such schemes in terms of their secure key generation rates per quantum memory. The two schemes under investigation are…

Quantum Physics · Physics 2016-11-26 Nicoló Lo Piparo , Mohsen Razavi

We propose a new Quantum Key Recycling (QKR) protocol, which can tolerate the noise in the quantum channel. Our QKR protocol recycles the used keys according to the error rate. The key recycling rate of the pre-shared keys in our QKR…

Quantum Physics · Physics 2020-06-15 Yu-Chin Lu , Chia-Wei Tsai , Tzonelih Hwang

We study the algorithmic thresholds for principal component analysis of Gaussian $k$-tensors with a planted rank-one spike, via Langevin dynamics and gradient descent. In order to efficiently recover the spike from natural initializations,…

Probability · Mathematics 2023-06-23 Gerard Ben Arous , Reza Gheissari , Aukosh Jagannath