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Ideal quantum random number generators (QRNGs) can produce algorithmically random and thus incomputable sequences, in contrast to pseudo-random number generators. However, the verification of the presence of algorithmic randomness and…

Quantum Physics · Physics 2021-01-06 John T. Kavulich , Brennan P. Van Deren , Maximilian Schlosshauer

We explore the implementation of pseudo-random single-qubit rotations and multi-qubit pseudo-random circuits constructed only from Clifford gates and the T-gate, a phase rotation of pi/4. Such a gate set would be appropriate for…

Quantum Physics · Physics 2015-06-17 Yaakov S. Weinstein

We propose a novel system for optical encryption based on an optical XOR and optical Linear Feedback Shift Register (oLFSRs). Though we choose LFSR for its ability to process optical signals at line rate, we consider the fact that it offers…

Cryptography and Security · Computer Science 2016-10-06 Anna Engelmann , Admela Jukan

We provide formal definitions and efficient secure techniques for - turning noisy information into keys usable for any cryptographic application, and, in particular, - reliably and securely authenticating biometric data. Our techniques…

Cryptography and Security · Computer Science 2008-04-01 Yevgeniy Dodis , Rafail Ostrovsky , Leonid Reyzin , Adam Smith

In this paper we study von Neumann un-biasing normalisation for ideal and real quantum random number generators, operating on finite strings or infinite bit sequences. In the ideal cases one can obtain the desired un-biasing. This relies…

Information Theory · Computer Science 2020-01-27 Alastair A. Abbott , Cristian S. Calude

Random number generators that utilize arrays of entropy source elements suffer from bias variation (BV). Despite the availability of efficient debiasing algorithms, optimized implementations of hardware friendly options depend on the bit…

Instrumentation and Detectors · Physics 2025-06-23 Md Sakibur Sajal , Hunter Guthrie , Marc Dandin

Pulsars exhibit signals with precise inter-arrival times that are on the order of milliseconds to seconds, depending on the individual pulsar. There are subtle variations in the timing of pulsar signals. We show that these variations can…

Cryptography and Security · Computer Science 2025-04-24 Hayder Tirmazi

In this paper, we consider recovering $n$ dimensional signals from $m$ binary measurements corrupted by noises and sign flips under the assumption that the target signals have low generative intrinsic dimension, i.e., the target signals can…

Machine Learning · Computer Science 2021-11-30 Yuling Jiao , Dingwei Li , Min Liu , Xiangliang Lu , Yuanyuan Yang

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of x= cot2(x). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract…

Discrete Mathematics · Computer Science 2013-01-23 Nabarun Mondal , Partha P. Ghosh

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

We establish new correlation bounds and pseudorandom generators for a collection of computation models. These models are all natural generalizations of structured low-degree $F_2$-polynomials that we did not have correlation bounds for…

Computational Complexity · Computer Science 2025-01-07 Vinayak M. Kumar

Large language models frequently commit unrecoverable reasoning errors mid-generation: once a wrong step is taken, subsequent tokens compound the mistake rather than correct it. We introduce $\textbf{Latent Phase-Shift Rollback}$ (LPSR): at…

Machine Learning · Computer Science 2026-04-21 Manan Gupta , Dhruv Kumar

One of the most fundamental results in classical cryptography is that the existence of Pseudo-Random Generators (PRG) that expands $k$ bits of randomness to $k+1$ bits that are pseudo-random implies the existence of PRG that expand $k$ bits…

Quantum Physics · Physics 2024-11-06 Romi Levy , Thomas Vidick

In recent years, true random number generators (TRNGs) based on magnetic tunnelling junction (MTJ) have become increasingly attractive. This is because MTJ-based TRNGs offer some advantages over traditional CMOS-based TRNGs, such as smaller…

Quantum Physics · Physics 2023-03-28 Hong Jie Ng , Shuhan Yang , Zhaoyang Yao , Hyunsoo Yang , Charles C. -W. Lim

Traditional quantum random number generators can produce only one type of random number, while the optimal distribution of random numbers for different applications is usually distinct. The typical solution to this challenge is either using…

This paper considers Pseudo-Relevance Feedback (PRF) methods for dense retrievers in a resource constrained environment such as that of cheap cloud instances or embedded systems (e.g., smartphones and smartwatches), where memory and CPU are…

Information Retrieval · Computer Science 2024-12-09 Hang Li , Chuting Yu , Ahmed Mourad , Bevan Koopman , Guido Zuccon

Current prevailing designs of quantum random number generators (QRNGs) designs typically employ post-processing techniques to distill raw random data, followed by statistical verification with suites like NIST SP 800-22. This paper…

Quantum Physics · Physics 2025-09-03 Yi-Fan Chen , Dong Wang , Yi-Bo Zhao , Liang Cheng , Yi Zhang , Yang Zhang

We construct pseudorandom generators of seed length $\tilde{O}(\log(n)\cdot \log(1/\epsilon))$ that $\epsilon$-fool ordered read-once branching programs (ROBPs) of width $3$ and length $n$. For unordered ROBPs, we construct pseudorandom…

Computational Complexity · Computer Science 2018-06-13 Raghu Meka , Omer Reingold , Avishay Tal

We study a problem of constructing codes that transform a channel with high bit error rate (BER) into one with low BER (at the expense of rate). Our focus is on obtaining codes with smooth ("graceful") input-output BER curves (as opposed to…

Information Theory · Computer Science 2019-12-03 Hajir Roozbehani , Yury Polyanskiy

We demonstrate a quantum random number generator based on the random nature of the phase difference between two independent laser sources. The speed of random bit generation is determined by the photodetector bandwidth and the linewidth of…