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Bell's theorem is reformulated and proved in the pure mathematical terms of automata theory, avoiding any physical or ontological notions. It is stated that no pair of finite probabilistic sequential machines can reproduce in its output the…

Quantum Physics · Physics 2017-12-13 Michael Zirpel

The assumption of measurement independence is required for a local deterministic model to conduct a Bell test. The violation of a Bell inequality by such a model implies that this assumption must be relaxed. The degree to which the…

Are there fundamentally random processes in nature? Theoretical predictions, confirmed experimentally, such as the violation of Bell inequalities, point to an affirmative answer. However, these results are based on the assumption that…

Quantum Physics · Physics 2013-06-19 Roger Colbeck , Renato Renner

In quantum theory, a quantum state on a composite system of two parties realizes a non-negative probability with any measurement element with a tensor product form. However, there also exist non-quantum states which satisfy the above…

Quantum Physics · Physics 2024-01-02 Baichu Yu , Masahito Hayashi

We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on observed data only but…

Quantum Physics · Physics 2013-07-29 Tobias Moroder , Jean-Daniel Bancal , Yeong-Cherng Liang , Martin Hofmann , Otfried Gühne

We present a method to certify the entanglement of all bipartite entangled quantum states in a device-independent way. This is achieved by placing the state in a quantum network and constructing a correlation inequality based on an…

Quantum Physics · Physics 2018-12-04 Joseph Bowles , Ivan Šupić , Daniel Cavalcanti , Antonio Acín

By performing local projective measurements on a two-qubit entangled state one can certify in a device-independent way up to one bit of randomness. We show here that general measurements, defined by positive-operator-valued measures, can…

Quantum Physics · Physics 2016-04-20 Antonio Acín , Stefano Pironio , Tamás Vértesi , Peter Wittek

A device-independent randomness expansion protocol aims to take an initial random seed and generate a longer one without relying on details of how the devices operate for security. A large amount of work to date has focussed on a particular…

Quantum Physics · Physics 2020-06-08 Peter J. Brown , Sammy Ragy , Roger Colbeck

The violation of a Bell inequality is the paradigmatic example of device-independent quantum information: the nonclassicality of the data is certified without the knowledge of the functioning of devices. In practice, however, all Bell…

To generate genuine random numbers, random number generators based on quantum theory are essential. However, ensuring that the process used to produce randomness meets desired security standards can pose challenges for traditional quantum…

Quantum Physics · Physics 2023-11-23 Rutvij Bhavsar

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

Randomness is an indispensable resource in modern science and information technology. Fortunately, an experimentally simple procedure exists to generate randomness with well-characterized devices: measuring a quantum system in a basis…

Quantum Physics · Physics 2016-08-24 Le Phuc Thinh , Jean-Daniel Bancal , Eduardo Martin-Martinez

The device-independent approach to physics is one where conclusions are drawn directly from the observed correlations between measurement outcomes. In quantum information, this approach allows one to make strong statements about the…

Quantum Physics · Physics 2018-03-28 Pei-Sheng Lin , Denis Rosset , Yanbao Zhang , Jean-Daniel Bancal , Yeong-Cherng Liang

Self-testing constitutes one of the most powerful forms of device certification, enabling a complete and device-independent characterization of a quantum apparatus solely from the observed correlations. In recent work by the authors [23], a…

Quantum Physics · Physics 2025-12-03 Arturo Konderak , Patryk Michalski

We introduce a protocol through which a pair of quantum mechanical devices may be used to generate n bits of true randomness from a seed of O(log n) uniform bits. The bits generated are certifiably random based only on a simple statistical…

Quantum Physics · Physics 2011-11-28 Umesh V. Vazirani , Thomas Vidick

Bell inequality can provide a useful witness for device-independent applications with quantum (or post-quantum) eavesdroppers. This feature holds only for single entangled systems. Our goal is to explore device-independent model for quantum…

Quantum Physics · Physics 2022-04-18 Ming-Xing Luo

The ultimate random number generators are those certified to be unpredictable -- including to an adversary. The use of simple quantum processes promises to provide numbers that no physical observer could predict but, in practice, unwanted…

Many applications require or benefit from being able to securely localize remote parties. In classical physics, adversaries can in principle have complete knowledge of such a party's devices, and secure localization is fundamentally…

Understanding the connections between different quantum information protocols has been proven fruitful for both theoretical insights and experimental applications. In this work, we explore the relationship between non-local and…

Quantum Physics · Physics 2025-12-22 Matilde Baroni , Eleni Diamanti , Damian Markham , Ivan Šupić

Entanglement in bipartite systems has been applied for the generation of secure random numbers, which are playing an important role in cryptography or scientific numerical simulations. Here, we propose to use multipartite entanglement…

Quantum Physics · Physics 2024-02-23 Yi Li , Yu Xiang , Xiao-Dong Yu , H. Chau Nguyen , Otfried Gühne , Qiongyi He