Topological Quantum Computation

Topological Quantum Computation

Author: Zhenghan Wang

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 134

ISBN-13: 0821849301

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Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators. This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.


Regional Competitiveness

Regional Competitiveness

Author: Ron Martin

Publisher: Routledge

Published: 2012-11-12

Total Pages: 178

ISBN-13: 1136012540

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There is now a wide spread interest in regions as a key focus in the organization and governance of economic growth and wealth creation. This important book considers the factors that influence and shape the competitive performance of regions. This is not just an issue of academic interest and debate, but also of increasing policy deliberation and action. However, as the readings in this book make clear, the very idea of regional competitiveness is itself complex and contentious. Many academics and policy makers have used the concept without fully considering what is meant by the term and how it can be measured. Policy formulation has tended to rush ahead of understanding and analysis, and the purpose of this book is to close this important gap in understanding. This book was previously published as a special issue of Regional Studies.


Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Author: Boyan Sirakov

Publisher: World Scientific

Published: 2019-02-27

Total Pages: 5393

ISBN-13: 9813272899

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The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.


Handbook of Corrosion Engineering

Handbook of Corrosion Engineering

Author: Pierre Roberge

Publisher: McGraw-Hill Prof Med/Tech

Published: 1999-09-30

Total Pages: 1154

ISBN-13: 0070765162

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Reduce the enormous economic and environmental impact of corrosion Emphasizing quantitative techniques, this guide provides you with: *Theory essential for understanding aqueous, atmospheric, and high temperature corrosion processes Corrosion resistance data for various materials Management techniques for dealing with corrosion control, including life prediction and cost analysis, information systems, and knowledge re-use Techniques for the detection, analysis, and prevention of corrosion damage, including protective coatings and cathodic protection More


Scientific Basis for Ayurvedic Therapies

Scientific Basis for Ayurvedic Therapies

Author: Lakshmi C. Mishra

Publisher: CRC Press

Published: 2003-09-29

Total Pages: 502

ISBN-13: 9780849313660

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Arguably the oldest form of health care, Ayurveda is often referred to as the "Mother of All Healing." Although there has been considerable scientific research done in this area during the last 50 years, the results of that research have not been adequately disseminated. Meeting the need for an authoritative, evidence-based reference, Scientific Basis for Ayurvedic Therapies is the first book to analyze and synthesize current research supporting Ayurvedic medicine. This book reviews the latest scientific information, evaluates the research data, and presents it in an easy to use format. The editor has carefully selected topics based on the availability of scientific studies and the prevalence of a disease. With contributions from experts in their respective fields, topics include Ayurvedic disease management, panchkarma, Ayurvedic bhasmas, the current status of Ayurveda in India, clinical research design, and evaluation of typical clinical trials of certain diseases, to name just a few. While there are many books devoted to Ayurveda, very few have any in-depth basis in scientific studies. This book provides a critical evaluation of literature, clinical trials, and biochemical and pharmacological studies on major Ayurvedic therapies that demonstrates how they are supported by scientific data. Providing a natural bridge from Ayurveda to Western medicine, Scientific Basis for Ayurvedic Therapies facilitates the integration of these therapies by health care providers.


Quantum Logic in Algebraic Approach

Quantum Logic in Algebraic Approach

Author: Miklós Rédei

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 244

ISBN-13: 9401590265

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This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.


Logistics Transportation Systems

Logistics Transportation Systems

Author: MD Sarder

Publisher: Elsevier

Published: 2020-10-17

Total Pages: 455

ISBN-13: 0128162872

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Logistics Transportation Systems compiles multiple topics on transportation logistics systems from both qualitative and quantitative perspectives, providing detailed examples of real-world logistics workflows. It explores the key concepts and problem-solving techniques required by researchers and logistics professionals to effectively manage the continued expansion of logistics transportation systems, which is expected to reach an estimated 25 billion tons in the United States alone by 2045. This book provides an ample understanding of logistics transportation systems, including basic concepts, in-depth modeling analysis, and network analysis for researchers and practitioners. In addition, it covers policy issues related to transportation logistics, such as security, rules and regulations, and emerging issues including reshoring. This book is an ideal guide for academic researchers and both undergraduate and graduate students in transportation modeling, supply chains, planning, and systems. It is also useful to transportation practitioners involved in planning, feasibility studies, consultation and policy for transportation systems, logistics, and infrastructure. - Provides real-world examples of logistics systems solutions for multiple transportation modes, including seaports, rail, barge, road, pipelines, and airports - Covers a wide range of business aspects, including customer service, cost, and decision analysis - Features key-term definitions, concept overviews, discussions, and analytical problem-solving


The Uses and Misuses of Data and Models

The Uses and Misuses of Data and Models

Author: James Bradley

Publisher: SAGE

Published: 1998-06-10

Total Pages: 225

ISBN-13: 0761909222

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Undeniably, the amount of "information" in our culture has increased by leaps and bounds. At the same time, discussion of values, norms and purpose is often missing from the discourse of social research - especially by those who work within the positivist framework. The authors of this book develop principles to guide the use of data and models in the human sciences. Writing as scholars who are at home with empirical and mathematical social science, yet taking seriously the critiques of this heritage, they propose ways of developing norms without becoming subjective.


Self-Similar Groups

Self-Similar Groups

Author: Volodymyr Nekrashevych

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 248

ISBN-13: 0821838318

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Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics of the book, which are the notions of the iterated monodromy group and limit space. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. In particular, it is shown that Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties can appear not just as isolated examples, but as naturally defined iterated monodromy groups of rational functions. The book offers important, new mathematics that will open new avenues of research in group theory and dynamical systems. It is intended to be accessible to a wide readership of professional mathematicians.