Geometry of Quantum States

An Introduction to Quantum Entanglement

Author: Ingemar Bengtsson,Karol Zyczkowski

Publisher: Cambridge University Press

ISBN: 1139453467

Category: Science

Page: N.A

View: 6879

Quantum information theory is at the frontiers of physics, mathematics and information science, offering a variety of solutions that are impossible using classical theory. This book provides an introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. After a gentle introduction to the necessary mathematics the authors describe the geometry of quantum state spaces. Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory. The final part of the book is devoted to quantum entanglement - a non-intuitive phenomenon discovered by Schrödinger, which has become a key resource for quantum computation. This richly-illustrated book is useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
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Geometry of Quantum States, An Introduction to Quantum Entanglement

Physics, Quantum mechanics

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467204412

Category: Education

Page: 17

View: 4278

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.
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Mathematische Physik: Klassische Mechanik

Author: Andreas Knauf

Publisher: Springer-Verlag

ISBN: 3662557762

Category: Science

Page: 652

View: 4219

Als Grenztheorie der Quantenmechanik besitzt die klassische Dynamik einen großen Formenreichtum – vom gut berechenbaren bis zum chaotischen Verhalten. Ausgehend von interessanten Beispielen wird in dem Band nicht nur eine gelungene Auswahl grundlegender Themen vermittelt, sondern auch der Einstieg in viele aktuelle Forschungsgebiete im Bereich der klassischen Mechanik. Didaktisch geschickt aufgebaut und mit hilfreichen Anhängen versehen, werden lediglich Kenntnisse der Grundvorlesungen in Mathematik vorausgesetzt. Mit über 100 Aufgaben und Lösungen.
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The Entangled God

Divine Relationality and Quantum Physics

Author: Kirk Wegter-McNelly

Publisher: Routledge

ISBN: 1136651705

Category: Religion

Page: 208

View: 1732

In The Entangled God, Kirk Wegter-McNelly addresses the age-old theological question of how God is present to the world by constructing a novel, scientifically informed account of the God–world relation. Drawing on recent scientific and philosophical work in "quantum entanglement," Wegter-McNelly develops the metaphor of "divine entanglement" to ground the relationality and freedom of physical process in the power of God’s relational being. The Entangled God makes a three-fold contribution to contemporary theological and religious discourse. First, it calls attention to the convergence of recent theology around the idea of "relationality." Second, it introduces theological and religious readers to the fascinating story of quantum entanglement. Third, it offers a robust "plerotic" alternative to kenotic accounts of God’s suffering presence in the world. Above all, this book takes us beyond the view of theology and science as adversaries and demonstrates the value of constructively relating these two important areas of intellectual investigation.
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Distributionen Und Hilbertraumoperatoren

Mathematische Methoden Der Physik

Author: Philippe Blanchard,Erwin Brüning

Publisher: Springer

ISBN: 9783211825075

Category: Science

Page: 375

View: 3136

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.
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Geometric Phases in Classical and Quantum Mechanics

Author: Dariusz Chruscinski,Andrzej Jamiolkowski

Publisher: Springer Science & Business Media

ISBN: 9780817642822

Category: Mathematics

Page: 337

View: 1039

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.
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Quantenrealität

Jenseits der Neuen Physik

Author: HERBERT

Publisher: Springer-Verlag

ISBN: 303486681X

Category: Juvenile Nonfiction

Page: 342

View: 7563

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The Subtle Body

An Encyclopedia of Your Energetic Anatomy

Author: Cyndi Dale

Publisher: Sounds True

ISBN: 1591798272

Category: Body, Mind & Spirit

Page: 516

View: 8334

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.
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Der Weg zur Wirklichkeit

Die Teilübersetzung für Seiteneinsteiger

Author: Roger Penrose

Publisher: Spektrum Akademischer Verlag

ISBN: 9783827423412

Category: Science

Page: 357

View: 8502

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.
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Coherent States, Wavelets, and Their Generalizations

Author: Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre Gazeau

Publisher: Springer Science & Business Media

ISBN: 1461485355

Category: Science

Page: 577

View: 7970

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.
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Theoretische Physik

Ein Kurzlehrbuch und Repetitorium

Author: Dietrich Stauffer

Publisher: Springer-Verlag

ISBN: 3642971520

Category: Science

Page: 159

View: 788

In der Reihenfolge Mechanik, Elektrodynamik, Quantenmechanik und Statistische Physik behandelt dieses Lehrbuch in konzentrierter Form den Stoff eines zweisemestrigen Theoriekurses. Dabei verfolgt es das Ziel, die wichtigsten Prüfungsfragen aus der theoretischen Physik zu beantworten und die Zusammenhänge zwischen den Teilgebieten zu verdeutlichen. Trotz der knappen Behandlung fließen neue Forschungsergebnisse immer wieder mit ein und machen zusammen mit zahlreichen, einfachen Computerprogrammen das Buch zu einem höchst anregenden Text für Studenten der Physik in Haupt- oder Nebenfach.
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Quantenphysik für Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 3527668004

Category: Science

Page: 316

View: 4831

Von den Grundlagen bis zur Streutheorie – das Wichtigste zur Quantenmechanik Die Quantenphysik ist ein zentrales und spannendes, wenn auch von vielen Schülern und Studenten ungeliebtes Thema der Physik. Aber keine Sorge! Steven Holzner erklärt Ihnen verständlich und lebendig, was Sie über Quantenphysik wissen müssen. Er erläutert die Grundlagen von Drehimpuls und Spin, gibt Ihnen Tipps, wie Sie komplexe Gleichungen lösen und nimmt den klassischen Problemen der Quantenphysik den Schrecken. Dabei arbeitet er mit Beispielen, die er ausführlich erklärt und gibt Ihnen so zusätzliche Sicherheit auf einem vor Unschärfen wimmelnden Feld.
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Quantum Signatures of Chaos

Author: Fritz Haake

Publisher: Springer Science & Business Media

ISBN: 9783540677239

Category: Science

Page: 479

View: 2041

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.
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Entanglement and Decoherence

Foundations and Modern Trends

Author: Andreas Buchleitner,Carlos Viviescas,Markus Tiersch

Publisher: Springer Science & Business Media

ISBN: 3540881689

Category: Computers

Page: 320

View: 7029

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.
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Die Grundlagen der Quantenmechanik

Author: Günther Ludwig

Publisher: Springer-Verlag

ISBN: 366211920X

Category: Mathematics

Page: 460

View: 9257

Mehrere Gründe bewogen mich, den Plan zu einem Buch über Quantenmechanik zu entwerfen, obwohl es in der Literatur schon manche Darstellung dieses Gebietes gibt. Einmal traf man bei den Lernenden immer wieder auf die Auf fassung, daß die Quantentheorie nur ein Provisorium der theoretischen Physik sei, aber zumindest noch einer genaueren Begründung bedürfe, da sowohl der mathematische Formalismus nicht exakt fundiert sei als auch die physikalische Interpretion sehr "nach Gefühl" in jedem Einzelfall durchgeführt würde. Nachdem das Buch von J. v. NEu MANN, Mathematische Grundlagen der Quantenmechanik, vergriffen war, konnte man kaum ein entsprechendes Werk empfehlen, das im physikalischen Zusammenhang die mathematischen Grundlagen klar legt. In dem vorliegenden Buche ist die eigentiiche Quantenmechamk (also ohne Feldtheorie) in der Weise dargestellt, daß man sie als em mathematisch wohlbegründetes und in sich genauso widerspruchs freies und abgeschlossenes System erkennt, wie die klassische Punkt mechanik. So wie die Kräfte, d. h. so wie die HAMILTON-Funktwn, in der klassischen Mechanik gegeben sein müssen, so m der Quanten mechanik der HAMILTON-Üperator. Die Herleitung eines Ansatzes für den HAMILTON-Operator eines Problems aus anderen Gebieten der Physik wird deshalb hier nicht näher begründet. Neben dem Wunsch, die Quantenmechamk als ein in sich geschlos senes Gebiet darzustellen, bestand ein zweiter Grund für die Abfassung des Buches in der inneren Harmonie zwischen mathematischer und physikalischer Struktur. Je größer die abstrakte Schönheit einer Theo rie, desto größer auch ihr Wahrheitsgehalt. Die innere Harmonie m der Struktur der Materie zu erkennen, d. h.
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The Theory of Open Quantum Systems

Author: Heinz-Peter Breuer,Physikalisches Institut Heinz-Peter Breuer,Francesco Petruccione,School of Pure and Applied Physics Francesco Petruccione

Publisher: Oxford University Press on Demand

ISBN: 9780198520634

Category: Science

Page: 625

View: 4412

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.
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