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This is a brief review of the experimental and theoretical quantum computing. The hopes for eventually building a useful quantum computer rely entirely on the so-called "threshold theorem". In turn, this theorem is based on a number of…

Quantum Physics · Physics 2013-06-10 M. I. Dyakonov

This work uses a simple quantum computer model to discuss the randomness of bit strings originated from integer sequences. The considered quantum computer model has three elements: a processing unit responsible for a mathematical operation,…

Quantum Physics · Physics 2015-05-05 R. V. Ramos

One of the most counterintuitive aspects of quantum theory is its claim that there is 'intrinsic' randomness in the physical world. Quantum information science has greatly progressed in the study of intrinsic, or secret, quantum randomness…

Creativity, defined as the tendency to generate or recognize new ideas or alternatives and to make connections between seemingly unrelated phenomena, is too vast a horizon to be summed up in such a simple sentence. The extreme abstractness…

Neurons and Cognition · Quantitative Biology 2017-02-28 Souparno Roy , Archi Banerjee , Ranjan Sengupta , Dipak Ghosh

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

Quantum random number generators (QRNGs) output genuine random numbers based upon the uncertainty principle. A QRNG contains two parts in general --- a randomness source and a readout detector. How to remove detector imperfections has been…

Quantum Physics · Physics 2016-01-14 Zhu Cao , Hongyi Zhou , Xiongfeng Ma

Quantum state discrimination depicts the general progress of extracting classical information from quantum systems. We show that quantum state discrimination can be realized in a device-independent scenario using tools of self-testing…

Quantum Physics · Physics 2024-01-25 Xinyu Qiu , Lin Chen

Does there exist a limit for the applicability of quantum theory for objects of large mass or size, or objects whose states are of large complexity or dimension of the Hilbert space? The possible answers range from practical limitations due…

Quantum Physics · Physics 2010-09-15 Johannes Kofler , Caslav Brukner

As a fundamental phenomenon in nature, randomness has a wide range of applications in the fields of science and engineering. Among different types of random number generators (RNG), quantum random number generator (QRNG) is a kind of…

Quantum Physics · Physics 2019-04-19 Bingjie Xu , Ziyang Chen , Zhengyu Li , Jie Yang , Qi Su , Wei Huang , Yichen Zhang , Hong Guo

The intrinsic non-locality of correlations in Quantum Mechanics allow us to certify the behaviour of a quantum mechanism in a device independent way. In particular, we present a new protocol that allows an unbounded amount of randomness to…

Quantum Physics · Physics 2018-08-01 Brian Coyle , Matty J. Hoban , Elham Kashefi

Novel bound states are obtained for manifolds with singular potentials. These singular potentials require proper boundary conditions across boundaries. The number of bound states match nicely with what we would expect for black holes. Also…

High Energy Physics - Theory · Physics 2016-12-21 T. R. Govindarajan , J. M. Munõz-Castañeda

The nonlocal behavior of quantum mechanics can be used to generate guaranteed fresh randomness from an untrusted device that consists of two nonsignalling components; since the generation process requires some initial fresh randomness to…

Quantum Physics · Physics 2013-02-26 Serge Fehr , Ran Gelles , Christian Schaffner

Random testing approaches work by generating inputs at random, or by selecting inputs randomly from some pre-defined operational profile. One long-standing question that arises in this and other testing contexts is as follows: When can we…

Software Engineering · Computer Science 2024-06-25 Neil Walkinshaw , Michael Foster , Jose Miguel Rojas , Robert M Hierons

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

Random numbers are a valuable commodity in gaming and gambling, simulation, conventional and quantum cryptography, and in non-conventional computing schemes such as stochastic computing. We propose to generate a random bit using a position…

Quantum Physics · Physics 2020-06-24 Heath McCabe , Scott M. Koziol , Gregory L. Snider , Enrique P. Blair

Quantum technology has led to increasingly sophisticated and complex quantum devices. Assessing their reliability (quantum reliability) is an important issue. Although reliability theory for classical devices has been well developed in…

Quantum Physics · Physics 2023-10-24 L. X. Cui , Y-M. Du , C. P. Sun

Quantum many-body systems provide a unique platform for exploring the rich interplay between chaos, randomness, and complexity. In a recently proposed paradigm known as deep thermalization, random quantum states of system A are generated by…

Quantum Physics · Physics 2025-06-17 Wai-Keong Mok , Tobias Haug , Adam L. Shaw , Manuel Endres , John Preskill

Randomness is an essential resource and plays important roles in various applications ranging from cryptography to simulation of complex systems. Certified randomness from quantum process is ensured to have the element of privacy but…

Quantum Physics · Physics 2024-11-14 Jinfang Zhang , Yi Li , Mengyu Zhao , Dongmei Han , Jun Liu , Meihong Wang , Qihuang Gong , Yu Xiang , Qiongyi He , Xiaolong Su

A rigorous general definition of quantum probability is given, which is valid for elementary events and for composite events, for operationally testable measurements as well as for inconclusive measurements, and also for non-commuting…

Quantum Physics · Physics 2016-01-12 V. I. Yukalov , D. Sornette

We study the optimization of any quantum process by minimizing the "randomness" in the measurement result at the output of that quantum process. We conceptualize and propose a measure of such randomness and inquire whether an optimization…

Quantum Physics · Physics 2021-03-30 Sreetama Das , Asutosh Kumar , Aditi Sen De , Ujjwal Sen