Probability And Randomness: Quantum Versus Classical
Probability And Randomness: Quantum Versus Classical

Author: Andrei Yu Khrennikov

Publisher: World Scientific

Published: 2016-03-04

Total Pages: 299

ISBN-13: 1783267984

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Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level.

Probability and Randomness
Probability and Randomness

Author: Andre? I?U?r?evich Khrennikov

Publisher: World Scientific

Published: 2016

Total Pages: 299

ISBN-13: 1783267976

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"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--

Quantum Probability and Randomness
Quantum Probability and Randomness

Author: Andrei Khrennikov

Publisher: MDPI

Published: 2019-04-18

Total Pages: 276

ISBN-13: 3038977144

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The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Social Laser
Social Laser

Author: Andrei Khrennikov

Publisher: CRC Press

Published: 2020-11-12

Total Pages: 230

ISBN-13: 100073045X

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The recent years have been characterized by stormy social protests throughout the world. These protests have some commonalities, but at the same time, their sociopolitical, psychological, and economic contexts differ essentially. An important class of such protests is known as color revolutions. The analysis of these events in social and political literature is characterized by huge diversity of opinions. We remark that the sociopolitical perturbations under consideration are characterized by the cascade dynamics leading to the exponential amplification of coherent social actions. In quantum physics, such exponential and coherent amplification is the basic feature of laser’s functioning. (“Laser” is acronym for light amplification by stimulated emission of radiation). In this book we explore the theory of laser to model aforementioned waves of social protests, from color revolutions to Brexit and Trump’s election. We call such social processes Stimulated Amplification of Social Actions (SASA), but to keep closer to the analogy with physics we merely operate with the term “social laser.”

Probability and Randomness
Probability and Randomness

Author: Andrei Khrennikov

Publisher:

Published: 2016

Total Pages: 282

ISBN-13: 9781783267965

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Foundations of probability -- Randomness -- Supplementary notes on measure-theoretic and frequency -- Approaches -- Introduction to quantum formalism -- Quantum and contextual probability -- Interpretations of quantum mechanics and probability -- Randomness: quantum versus classical -- Probabilistic structure of Bell's argument -- Quantum probability outside of physics: from molecular biology to cognition

Quantum Computing in the Arts and Humanities
Quantum Computing in the Arts and Humanities

Author: Eduardo Reck Miranda

Publisher: Springer Nature

Published: 2022-05-05

Total Pages: 371

ISBN-13: 3030955389

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Computers are essential for the functioning of our society. Despite the incredible power of existing computers, computing technology is progressing beyond today’s conventional models. Quantum Computing (QC) is surfacing as a promising disruptive technology. QC is built on the principles of quantum mechanics. QC can run algorithms that are not trivial to run on digital computers. QC systems are being developed for the discovery of new materials and drugs and improved methods for encoding information for secure communication over the Internet. Unprecedented new uses for this technology are bound to emerge from ongoing research. The development of conventional digital computing technology for the arts and humanities has been progressing in tandem with the evolution of computers since the 1950s. Today, computers are absolutely essential for the arts and humanities. Therefore, future developments in QC are most likely to impact on the way in which artists will create and perform, and how research in the humanities will be conducted. This book presents a comprehensive collection of chapters by pioneers of emerging interdisciplinary research at the crossroads of quantum computing, and the arts and humanities, from philosophy and social sciences to visual arts and music. Prof. Eduardo Reck Miranda is a composer and a professor in Computer Music at Plymouth University, UK, where he is a director of the Interdisciplinary Centre for Computer Music Research (ICCMR). His previous publications include the Springer titles Handbook of Artificial Intelligence for Music, Guide to Unconventional Computing for Music, Guide to Brain-Computer Music Interfacing and Guide to Computing for Expressive Music Performance.

Quantum-Like Models for Information Retrieval and Decision-Making
Quantum-Like Models for Information Retrieval and Decision-Making

Author: Diederik Aerts

Publisher: Springer Nature

Published: 2019-09-09

Total Pages: 178

ISBN-13: 3030259137

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Recent years have been characterized by tremendous advances in quantum information and communication, both theoretically and experimentally. In addition, mathematical methods of quantum information and quantum probability have begun spreading to other areas of research, beyond physics. One exciting new possibility involves applying these methods to information science and computer science (without direct relation to the problems of creation of quantum computers). The aim of this Special Volume is to encourage scientists, especially the new generation (master and PhD students), working in computer science and related mathematical fields to explore novel possibilities based on the mathematical formalisms of quantum information and probability. The contributing authors, who hail from various countries, combine extensive quantum methods expertise with real-world experience in application of these methods to computer science. The problems considered chiefly concern quantum information-probability based modeling in the following areas: information foraging; interactive quantum information access; deep convolutional neural networks; decision making; quantum dynamics; open quantum systems; and theory of contextual probability. The book offers young scientists (students, PhD, postdocs) an essential introduction to applying the mathematical apparatus of quantum theory to computer science, information retrieval, and information processes.

Quantum Computing: A Shift from Bits to Qubits
Quantum Computing: A Shift from Bits to Qubits

Author: Rajiv Pandey

Publisher: Springer Nature

Published: 2023-03-29

Total Pages: 487

ISBN-13: 9811995303

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The edited book is a consolidated handbook on quantum computing that covers quantum basic science and mathematics to advanced concepts and applications of quantum computing and quantum machine learning applied to diverse domains. The book includes dedicated chapters on introduction to quantum computing, its practical applications, the working behind quantum systems, quantum algorithms, quantum communications, and quantum cryptography. Each challenge that can be addressed with quantum technologies is further discussed from theoretical and practical perspectives. The book is divided into five parts: Part I: Scientific Theory for Quantum, Part II: Quantum Computing: Building Concepts, Part III: Quantum Algorithms- Theory & Applications, Part IV: Quantum Simulation Tools & Demonstrations, and Part V: Future Direction and Applications.

Weirdness!
Weirdness!

Author: Taner Edis

Publisher: Pitchstone Publishing (US&CA)

Published: 2021-11-09

Total Pages: 301

ISBN-13: 1634312120

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In a world where science faces challenges from creationists and climate change deniers, and where social media is awash with wild conspiracy theories, it is no longer enough for scientists, pundits, and activists to simply ask the public to trust science. Rather, all must better understand how science works, and why science is essential. By exploring many of the odd beliefs embraced by large sections of the public that are rejected by the scientific mainstream, Weirdness! makes a case for science that goes beyond popular slogans. It takes seriously claims that paranormal phenomena, such as psychic abilities and mythical creatures, might be real, but demonstrates how such phenomena would extend beyond the laws of nature. It rejects a sharp boundary between science and religion, while explaining how to negotiate their real differences. Denials of science cause no end of trouble, but so too does placing blind trust in science. As Weirdness! reminds readers, science should not be seen as a mechanism that takes in data and spits out truth—indeed, what we get wrong about how the world works is often as interesting as what we get right.