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The generation of random numbers is a task of paramount importance in modern science. A central problem for both classical and quantum randomness generation is to estimate the entropy of the data generated by a given device. Here we present…

The certification of randomness is essential for both fundamental science and information technologies. Unlike traditional random number generators, randomness obtained from nonlocal correlations is fundamentally guaranteed to be…

Randomness is an invaluable resource in today's life with a broad use reaching from numerical simulations through randomized algorithms to cryptography. However, on the classical level no true randomness is available and even the use of…

Quantum Physics · Physics 2015-02-24 Mataj Pivoluska , Martin Plesch

The generation of certifiable randomness is one of the most promising applications of quantum technologies. Furthermore, the intrinsic non-locality of quantum correlations allow us to certify randomness in a device-independent way, i.e. one…

Quantum Physics · Physics 2020-08-04 Brian Coyle , Elham Kashefi , Matty Hoban

The field of device-independent quantum cryptography has seen enormous success in the past several years, including security proofs for key distribution and random number generation that account for arbitrary imperfections in the devices…

Quantum Physics · Physics 2018-05-11 Carl A. Miller

One of the distinguishing features of quantum theory is that its measurement outcomes are usually unpredictable or, equivalently, random. Moreover, this randomness is certifiable with minimal assumptions in the so-called device-independent…

The question of security of practical device-independent protocols against no-signalling adversaries, the ultimate form of cryptographic security, has remained open. A key ingredient is to identify how the entropy in the raw outputs of a…

Quantum Physics · Physics 2025-06-23 Ravishankar Ramanathan , Yuan Liu , Yutian Wu

Quantum technologies offer significant advancements in information processing and communication, notably in the domain of random number generation (RNG). The use of Bell inequalities enables users to certify the randomness of outputs…

Quantum Physics · Physics 2025-12-01 Robert Okuła , Piotr Mironowicz

Random numbers are used in a wide range of sciences. In many applications, generating unpredictable private random numbers is indispensable. Device-independent quantum random number generation is a framework that makes use of the intrinsic…

Quantum Physics · Physics 2026-03-02 Máté Farkas , Jurij Volčič , Sigurd A. L. Storgaard , Ranyiliu Chen , Laura Mančinska

How to generate genuine quantum randomness from untrusted devices is an important problem in quantum information processing. Inspired by previous work on a self-testing quantum random number generator [T. Lunghi et al., Phys. Rev. Lett.…

Quantum Physics · Physics 2016-04-08 Han Yun-Guang , Yin Zhen-Qiang , Li Hong-Wei , Chen Wei , Wang Shuang , Guo Guang-Can , Han Zheng-Fu

Randomness is an important resource for many applications, from gambling to secure communication. However, guaranteeing that the output from a candidate random source could not have been predicted by an outside party is a challenging task,…

Quantum Physics · Physics 2011-03-02 Roger Colbeck , Adrian Kent

Self-testing is a method to certify devices from the result of a Bell test. Although examples of noise tolerant self-testing are known, it is not clear how to deal efficiently with a finite number of experimental trials to certify the…

Quantum Physics · Physics 2021-03-03 Jean-Daniel Bancal , Kai Redeker , Pavel Sekatski , Wenjamin Rosenfeld , Nicolas Sangouard

Randomness is an essential resource in computer science. In most applications perfect, and sometimes private, randomness is needed, while it is not even clear that such a resource exists. It is well known that the tools of classical…

Quantum Physics · Physics 2025-06-09 Max Kessler , Rotem Arnon

The randomness expansion capabilities of semi-device-independent (SDI) prepare and measure protocols are analyzed under the sole assumption that the Hilbert state dimension is known. It's explicitly proved that the maximum certifiable…

Quantum Physics · Physics 2022-03-14 Vaisakh Mannalath , Anirban Pathak

Bell experiments can be used to generate private random numbers. An ideal Bell experiment would involve measuring a state of two maximally entangled qubits, but in practice any state produced is subject to noise. Here we consider how the…

Quantum Physics · Physics 2014-12-12 Jean-Daniel Bancal , Valerio Scarani

Random numbers are commonly used in many different fields, ranging from simulations in fundamental science to security applications. In some critical cases, as Bell's tests and cryptography, the random numbers are required to be both secure…

Quantum Physics · Physics 2019-01-14 Marco Avesani , Davide G. Marangon , Giuseppe Vallone , Paolo Villoresi

In recent years, several hacking attacks have broken the security of quantum cryptography implementations by exploiting the presence of losses and the ability of the eavesdropper to tune detection efficiencies. We present a simple attack of…

Quantum Physics · Physics 2016-01-28 Antonio Acín , Daniel Cavalcanti , Elsa Passaro , Stefano Pironio , Paul Skrzypczyk

We present a scheme for quantum random-number generation from an untrusted measurement device and a trusted source and demonstrate it experimentally. No assumptions about noise or imperfections in the measurement are required, and the…

Quantum Physics · Physics 2022-10-26 Kieran Neil Wilkinson , Casper Ahl Breum , Tobias Gehring , Jonatan Bohr Brask

Colbeck (Thesis, 2006) proposed using Bell inequality violations to generate certified random numbers. While full quantum-security proofs have been given, it remains a major open problem to identify the broadest class of Bell inequalities…

Quantum Physics · Physics 2017-08-18 Carl A. Miller , Yaoyun Shi

Randomness is a central feature of quantum mechanics and an invaluable resource for both classical and quantum technologies. Commonly, in Device-Independent and Semi-Device-Independent scenarios, randomness is certified using projective…

Quantum Physics · Physics 2022-11-08 Marco Avesani , Hamid Tebyanian , Paolo Villoresi , Giuseppe Vallone