Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
Facts101 is your complete guide to Geometry of Quantum States, An Introduction to Quantum Entanglement. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
Die Welt der feinstofflichen Energien entdecken Die unsichtbaren Energieströme im Körper sind Grundlage und Ansatzpunkt für alle Methoden ganzheitlichen Heilens. Dieses Werk macht die energetische Anatomie des Menschen erstmals umfassend und lückenlos sichtbar. Es verbindet auf einzigartige Weise die Erfahrungen uralten Heilwissens mit den Erkenntnissen moderner Medizin. • Die feinstoffliche Anatomie auf einen Blick: alles über Aura, Chakras, Meridiane, Reflexzonen, Akupunkturpunkte, Magnetfelder etc. • Energetische Heilmethoden – Konzepte und Anwendungsmöglichkeiten: Akupunktur, Geistheilung, Reiki, Quantenheilung, Shiatsu, Ayurveda u. v. m. • Mit 158 farbigen Illustrationen, zahlreichen Übersichten und Tabellen, Register und umfassender Bibliografie
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.
Aus dem Geleitwort von R. Haag: "Es bleibt die Faszination eines großen Wurfs und großen Ideenreichtums."
Welcome to the first comprehensive encyclopedia of the human energetic anatomy. Here is a reference that no personal or professional health-care library should be without—an in-depth, illustrated guide to the invisible energies of the spirit, psyche, and consciousness that influence every aspect of our well-being. Whether you are looking for the right complementary medicine to enhance your own healing practice, seeking perennial wisdom about your body’s energetic nature from world traditions, or exploring the quantum edge of intention-based care, The Subtle Body is an indispensible companion for exploring virtually any facet of holistic healing. Created for healing professionals and patients alike, this volume provides a lexicon of terms, illustrations, and detailed entries about our energetic biology and how it relates to our physical being. This invaluable information will help you enhance any form of health care and give you the knowledge you need to develop an integrated approach for your clients’ well-being—or your own. All healers are "energetic" healers, whether they know it or not. Because every health issue has a physical and an energetic component, even a simple physical treatment like bandaging a cut also impacts the body's spiritual, mental, and emotional welfare. The Subtle Body is a comprehensive encyclopedia devoted to the critical world of our invisible anatomy, where so much of healing actually occurs. Compiled by intuitive healer and scholar Cyndi Dale, this 500-page full color illustrated reference book covers: What is the "subtle body"? New scientific understanding of our quantum-state existence and the unseen fields that determine our physical condition True integrative care: how combining Eastern energetic modalities with Western scientific rigor yields optimum results The meridians, fields, and chakras: detailed information and diagrams about the role of these energetic structures in our overall health Energy-based therapy principles from the world's healing traditions--including Ayurveda, Qigong, Reiki, Quabalah, and many more For professionals who want to make the leap from being good healers to great ones, one thing is clear: we need to care for every facet of our well-being. With The Subtle Body, practitioners and patients alike now have an unprecedented resource for understanding the physical, energetic, and spiritual elements of human health--for an informed, complete approach to healing.
Dieses Lehrbuch behandelt zunächst den klassischen Stoff wie Riesz- und Fredholmtheorie in funktionalanalytischer Darstellung. Ein Schwerpunkt ist die Anwendung von Methoden und Ergebnissen aus der Theorie der Integralgleichungen auf gewöhnliche und partielle Differentialgleichungen. Neben der Behandlung der analytischen Aspekte wird auch auf die numerische Lösung von Integralgleichungen eingegangen. Spezifisch für das Buch sind eine ausführliche Behandlung von Integralgleichungen 1. Art, wie sie bei der Modellierung inverser Probleme auftreten, und ein Kapitel über nichtlineare Integralgleichungen, das bis zu den Grundlagen der Verzweigungstheorie vordringt. Auch stark singuläre Gleichungen werden behandelt. Das Lehrbuch wendet sich an Studenten, die die grundlegende Analysis-Ausbildung, inklusive der Grundlagen der linearen Funktionalanalysis, absolviert haben.
This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, Gazeau-Klauder coherent states, coherent states for the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantum-classical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is self-contained. With its extensive references to the research literature, the first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable.
This textbook provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.
Der Weg zur Wirklichkeit ist eine Kurzübersetzung des Penrose-Klassikers "The Road to Reality", die aus dem Monumentalwerk für Physik- und Mathematikexperten die allgemeinverständlichen Kapitel für interessierte Laien lesbar macht. Wer ein Faible für die Grundfragen der Wissenschaft, einen Blick für Geometrie, einen Sinn für Zahlen und Neugier für kosmologische Theorien hat, findet in diesem klar und kompetent geschriebenen Buch überraschende und provozierende Ideen. Schulmathematik wie die Bruchrechnung oder der berühmte Pythagorassatz lassen sich auf dem Weg zur Wirklichkeit völlig neu entdecken - im Spannungsfeld zwischen platonischer Mathematik, physikalischer Welt und menschlichem Bewusstsein.
Das Buch bietet eine Einführung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschäftigt sich mit der Theorie der Distributionen und vermittelt daneben einige Grundbegriffe der linearen Funktionalanalysis. Der zweite Teil baut darauf auf und gibt eine auf das Wesentliche beschränkte Einführung in die Theorie der linearen Operatoren in Hilbert-Räumen. Beide Teile werden von je einer Übersicht begleitet, die die zentralen Ideen und Begriffe knapp erläutert und den Inhalt kurz beschreibt. In den Anhängen werden einige grundlegende Konstruktionen und Konzepte der Funktionalanalysis dargestellt und wichtige Konsequenzen entwickelt.
This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantummechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to thestudy of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the lasercooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examplesfrom a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help ofnumerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.
This graduate-level textbook provides a unified viewpoint of quantum information theory that merges key topics from both the information-theoretic and quantum- mechanical viewpoints. The text provides a unified viewpoint of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and challenges. This unified approach makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption.
Die Quantenphysik, auch Quantenmechanik, ist ein zentrales, wenn auch von vielen Sch?lern und Studenten ungeliebtes Thema der Physik. Aber keine Panik! Steven Holzner erkl?rt Ihnen freundlich, verst?ndlich, kompetent, was Sie ?ber Quantenphysik wissen m?ssen. Er erl?utert die Grundlagen von Drehimpuls und Spin, gibt Ihnen Tipps, wie Sie komplexe Gleichungen l?sen und nimmt den klassischen Problemen der Quantenphysik den Schrecken. Dabei arbeitet er mit Beispielen, die er ausf?hrlich erkl?rt und gibt Ihnen so zus?tzliche Sicherheit auf einem vor Unsch?rfen wimmelnden Feld.
Was ist Wirklichkeit? Existieren Raum und Zeit tatsächlich, wenn wir uns anschicken, die elementarsten Grundlagen unserer Existenz zu erforschen? Wie viel davon können wir überhaupt verstehen? Carlo Rovelli beschäftigt sich seit vielen Jahren damit, die Grenzen unseres Verstehens zu erweitern. In diesem Buch nimmt er uns mit auf eine Reise, die von dem Realitätsverständnis der griechischen Klassik bis zur Schleifenquantengravitation führt. Ein großer Physiker unserer Zeit macht sich auf, uns ein neues Welt-Bild zu zeichnen: mit einem physikalischen Universum ohne Zeit, einer Raumzeit, die aus Schleifen und Körnchen besteht und in der Unendlichkeit nicht existiert. Einer Kosmologie, die ohne Urknall und Paralleluniversen auskommt und hier zum ersten Mal von einem ihrer «Erfinder» für ein breites Publikum einfach und ausführlich erklärt wird. Ein Buch über «die großen Herausforderungen der gegenwärtigen Naturwissenschaften, die all unser Wissen über die Natur in Frage stellen» (Rovelli).
Entanglement and (de-)coherence arguably define the central issues of concern in present day quantum information theory. Entanglement being a consequence of the quantum mechanical superposition principle for composite systems, a better understanding of the environment-induced destruction of coherent superposition states is required to devise novel strategies for harvesting quantum interference phenomena. The present book collects a series of advanced lectures on the theoretical foundations of this active research field, from mathematical aspects underlying quantum topology to mesoscopic transport theory. All lectures start out from an elementary level and proceed along a steep learning curve. This makes the material particularly suitable for student seminars on the more fundamental theoretical aspects of quantum information, and equally useful as supplementary reading for advanced lectures on this topic.

Best Books