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Randomness is both a useful way to model natural systems and a useful tool for engineered systems, e.g. in computation, communication and control. Fully random transformations require exponential time for either classical or quantum…

Quantum Physics · Physics 2016-05-04 Fernando G. S. L. Brandao , Aram W. Harrow , Michal Horodecki

The emergence of quantum theory at the beginning of 20$-th$ century has changed our view of the microscopic world and has led to applications such as quantum teleportation, quantum random number generation and quantum computation to name a…

Quantum Physics · Physics 2023-02-03 Shubhayan Sarkar

Successful realization of Bell tests has settled an 80-year-long debate, proving the existence of correlations which cannot be explained by a local realistic model. Recent experimental progress allowed to rule out any possible loopholes in…

By proposing device-independent protocols, S. Pironio et al. [Nature 464, 1021-1024 (2010)] and R. Colbeck et al. [Nature Physics 8, 450-453 (2012)] proved that new randomness can be generated by using perfectly free random sources or…

Quantum Physics · Physics 2015-08-19 Yu-Qian Zhou , Hong-Wei Li , Yu-Kun Wang , Dan-Dan Li , Fei Gao , Qiao-Yan Wen

This work analyzes correlations arising from quantum systems subject to sequential projective measurements to certify that the system in question has a quantum dimension greater than some $d$. We refine previous known methods and show that…

Quantum Physics · Physics 2021-06-16 Adel Sohbi , Damian Markham , Jaewan Kim , Marco Túlio Quintino

Ultrafast physical random bit generation at hundreds of Gb/s rates, with verified randomness, is a crucial ingredient in secure communication and have recently emerged using optics based physical systems. Here we examine the inverse problem…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Shira Sardi , Herut Uzan , Shiri Otmazgin , Yaara Aviad , Michael Rosenbluh , Ido Kanter

The onset of the era of fully-programmable error-corrected quantum computers will be marked by major breakthroughs in all areas of science and engineering. These devices promise to have significant technological and societal impact, notable…

Quantum Physics · Physics 2019-11-22 Kishor Bharti , Maharshi Ray , Antonios Varvitsiotis , Adán Cabello , Leong-Chuan Kwek

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

Bell nonlocality as a resource for device independent certification schemes has been studied extensively in recent years. The strongest form of device independent certification is referred to as self-testing, which given a device certifies…

Quantum Physics · Physics 2021-12-15 Shubhayan Sarkar , Debashis Saha , Jędrzej Kaniewski , Remigiusz Augusiak

We propose an application for near-term quantum devices: namely, generating cryptographically certified random bits, to use (for example) in proof-of-stake cryptocurrencies. Our protocol repurposes the existing "quantum supremacy"…

Quantum Physics · Physics 2023-03-06 Scott Aaronson , Shih-Han Hung

In recent decades, quantum technologies have made significant strides toward achieving quantum utility. However, practical applications are hindered by challenges related to scaling the number of qubits and the depth of circuits. In this…

Quantum Physics · Physics 2025-10-01 Pingal Pratyush Nath , Aninda Sinha , Urbasi Sinha

We study random number expansion protocols based on the $n \to 1$ quantum random access codes (QRACs). We consider them in the semi-device independent scenario where the inner workings of the devices are unknown to us but we can certify the…

Quantum Physics · Physics 2015-05-30 Hong-Wei Li , Marcin Pawłowski , Zhen-Qiang Yin , Guang-Can Guo , Zheng-Fu Han

Quantum speed limits are usually regarded as fundamental restrictions, constraining the amount of computation that can be achieved within some given time and energy. Complementary to this intuition, here we show that these limitations are…

Quantum Physics · Physics 2026-03-12 Caroline L. Jones , Albert Aloy , Gerard Higgins , Markus P. Mueller

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

The certification of quantum resources is a critical tool in the development of quantum information processing. In particular, quantum state verification is a fundamental building block for communication and computation applications,…

Randomness is intrinsic to quantum mechanics; the outcome of a measurement on a quantum state is a random variable. This feature has been applied to randomness certification, where one party must decide whether the data they receive is…

Quantum Physics · Physics 2026-04-07 Liam P. McGuinness

A fundamental resource in any communication and computation task is the amount of information that can be transmitted and processed. Information encoded in a classical system is limited by the dimension d_c of the system, i.e., the number…

Quantum Physics · Physics 2013-01-16 Johan Ahrens , Piotr Badziag , Adan Cabello , Mohamed Bourennane

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

Nonlocal correlations are useful for device independent (DI) randomness certification [Nature (London) {\bf 464}, 1021 (2010)]. The advantage of this DI protocol over the conventional quantum protocol is that randomness can be certified…

Quantum Physics · Physics 2016-09-23 Anubhav Chaturvedi , Manik Banik

Randomness is a vital resource for modern day information processing, especially for cryptography. A wide range of applications critically rely on abundant, high quality random numbers generated securely. Here we show how to expand a random…

Quantum Physics · Physics 2016-11-02 Carl A. Miller , Yaoyun Shi