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Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

2011-01-15 Science
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Release : 2011-01-15
Genre : Science
Kind : eBook
Book Rating : 713/5 ( reviews)

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Book Synopsis Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems by : Masanori Ohya

Download or read book Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems written by Masanori Ohya. This book was released on 2011-01-15. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

Quantum Adaptivity in Biology: From Genetics to Cognition

2015-04-14 Science
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Release : 2015-04-14
Genre : Science
Kind : eBook
Book Rating : 192/5 ( reviews)

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Book Synopsis Quantum Adaptivity in Biology: From Genetics to Cognition by : Masanari Asano

Download or read book Quantum Adaptivity in Biology: From Genetics to Cognition written by Masanari Asano. This book was released on 2015-04-14. Available in PDF, EPUB and Kindle. Book excerpt: This book examines information processing performed by bio-systems at all scales: from genomes, cells and proteins to cognitive and even social systems. It introduces a theoretical/conceptual principle based on quantum information and non-Kolmogorov probability theory to explain information processing phenomena in biology as a whole. The book begins with an introduction followed by two chapters devoted to fundamentals, one covering classical and quantum probability, which also contains a brief introduction to quantum formalism, and another on an information approach to molecular biology, genetics and epigenetics. It then goes on to examine adaptive dynamics, including applications to biology, and non-Kolmogorov probability theory. Next, the book discusses the possibility to apply the quantum formalism to model biological evolution, especially at the cellular level: genetic and epigenetic evolutions. It also presents a model of the epigenetic cellular evolution based on the mathematical formalism of open quantum systems. The last two chapters of the book explore foundational problems of quantum mechanics and demonstrate the power of usage of positive operator valued measures (POVMs) in biological science. This book will appeal to a diverse group of readers including experts in biology, cognitive science, decision making, sociology, psychology, and physics; mathematicians working on problems of quantum probability and information and researchers in quantum foundations.

Quantum Foundations, Probability and Information

2018-06-13 Science
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Release : 2018-06-13
Genre : Science
Kind : eBook
Book Rating : 714/5 ( reviews)

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Book Synopsis Quantum Foundations, Probability and Information by : Andrei Khrennikov

Download or read book Quantum Foundations, Probability and Information written by Andrei Khrennikov. This book was released on 2018-06-13. Available in PDF, EPUB and Kindle. Book excerpt: Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory. Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource.

Quantum Bio-informatics Vi: From Quantum Information To Bio-informatics - Proceedings Of Quantum Bio-informatics 2014

2020-05-19 Science
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Release : 2020-05-19
Genre : Science
Kind : eBook
Book Rating : 84X/5 ( reviews)

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Book Synopsis Quantum Bio-informatics Vi: From Quantum Information To Bio-informatics - Proceedings Of Quantum Bio-informatics 2014 by : Luigi Accardi

Download or read book Quantum Bio-informatics Vi: From Quantum Information To Bio-informatics - Proceedings Of Quantum Bio-informatics 2014 written by Luigi Accardi. This book was released on 2020-05-19. Available in PDF, EPUB and Kindle. Book excerpt: This volume seeks to return to the starting point of bio-informatics and quantum information, where these fields are constantly engaged in explosive advancements, and to seriously attempt mutual interaction between the two fields, with a view to enumerating and solving the many encountered fundamental problems. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, the research for a new paradigm for information science and life science on the basis of quantum theory.

Infinite Dimensional Analysis, Quantum Probability and Applications

2022-10-04 Mathematics
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Release : 2022-10-04
Genre : Mathematics
Kind : eBook
Book Rating : 705/5 ( reviews)

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Book Synopsis Infinite Dimensional Analysis, Quantum Probability and Applications by : Luigi Accardi

Download or read book Infinite Dimensional Analysis, Quantum Probability and Applications written by Luigi Accardi. This book was released on 2022-10-04. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite dimensional analysis, with a special focus on applications to mathematical physics and quantum information theory. Covered topics include white noise theory, quantum field theory, quantum Markov processes, free probability, interacting Fock spaces, and more. By emphasizing the interconnection and interdependence of such research topics and their real-life applications, this reputed conference has set itself as a distinguished forum to communicate and discuss new findings in truly relevant aspects of theoretical and applied mathematics, notably in the field of mathematical physics, as well as an event of choice for the promotion of mathematical applications that address the most relevant problems found in industry. That makes this volume a suitable reading not only for researchers and graduate students with an interest in the field but for practitioners as well.

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