› › Entropy And The Quantum Ii

Entropy and the Quantum II

Author : Robert Sims

Publisher : American Mathematical Soc.

Page : 234 pages

File Size : 48,70 MB

Release : 2011-09-02

Category : Mathematics

ISBN : 0821868985

Get eBook

Book Description

The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition. In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdos, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Gunter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.



Entropy and the Quantum

Author : Daniel Ueltschi

Publisher : American Mathematical Soc.

Page : 216 pages

File Size : 44,65 MB

Release : 2010

Category : Quantum entropy

ISBN : 082185853X

Get eBook

Book Description



Maxwell's Demon 2 Entropy, Classical and Quantum Information, Computing

Author : Harvey Leff

Publisher : CRC Press

Page : 494 pages

File Size : 20,89 MB

Release : 2002-12-13

Category : Mathematics

ISBN : 1420033999

Get eBook

Book Description

Over 130 years ago, James Clerk Maxwell introduced his hypothetical "demon" as a challenge to the scope of the second law of thermodynamics. Fascination with the demon persisted throughout the development of statistical and quantum physics, information theory, and computer science, and links have been established between Maxwell's demon and each of



Quantum Information Theory

Author : Mark Wilde

Publisher : Cambridge University Press

Page : 673 pages

File Size : 31,19 MB

Release : 2013-04-18

Category : Computers

ISBN : 1107034256

Get eBook

Book Description

A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.



Maxwell's Demon

Author : Harvey S. Leff

Publisher : Princeton University Press

Page : 362 pages

File Size : 29,18 MB

Release : 2014-07-14

Category : Science

ISBN : 1400861527

Get eBook

Book Description

About 120 years ago, James Clerk Maxwell introduced his now legendary hypothetical "demon" as a challenge to the integrity of the second law of thermodynamics. Fascination with the demon persisted throughout the development of statistical and quantum physics, information theory, and computer science--and linkages have been established between Maxwell's demon and each of these disciplines. The demon's seductive quality makes it appealing to physical scientists, engineers, computer scientists, biologists, psychologists, and historians and philosophers of science. Until now its important source material has been scattered throughout diverse journals. This book brings under one cover twenty-five reprints, including seminal works by Maxwell and William Thomson; historical reviews by Martin Klein, Edward Daub, and Peter Heimann; information theoretic contributions by Leo Szilard, Leon Brillouin, Dennis Gabor, and Jerome Rothstein; and innovations by Rolf Landauer and Charles Bennett illustrating linkages with the limits of computation. An introductory chapter summarizes the demon's life, from Maxwell's illustration of the second law's statistical nature to the most recent "exorcism" of the demon based on a need periodically to erase its memory. An annotated chronological bibliography is included. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



3rd Dimension and Human (Volume II)

Author : Prof. Dr. Bilal Semih Bozdemir

Publisher : Prof. Dr. Bilal Semih Bozdemir

Page : 468 pages

File Size : 34,29 MB

Release :

Category : Fiction

ISBN :

Get eBook

Book Description

Humans and the Third Dimension; A Journey of Discovery The Limits of Our Perceptions Our Three-Dimensional World: A Familiar Reality Space and Time: Basic Concepts The Limits of Human Perception: Sight, Hearing, Touch Other Senses: Smell and Taste The Sixth Sense: Intuition and Insight The Subconscious and the Superconscious: Hidden Worlds Dreams and Reality: Is There a Difference? Parallel Universes: Possibilities and Scenarios Quantum Physics: On the Nature of Reality Quantum Entanglement: Separate But Connected Superposition: Being in More Than One State Quantum Examples: Reflections in Daily Life Time Travel: Is It Possible? The Theory of Relativity of Time: Einstein's Legacy Black Holes: The End of Time? Wormholes: Transitioning from One Dimension to Another The Theory of the Multiverse: Infinite Possibilities The Fourth Dimension and Beyond: Challenges of Conceptualization Human Consciousness and Dimensions: Is There a Connection? Aura and Energy Fields: Invisible Worlds Meditation and Consciousness Expansion: New Perspectives Astral Travel: Unconscious Experiences Telepathy and Remote Influence: Mind Power Dream Interpretation: Signs of the Subconscious Kabbalah and Dimensions: The View of the Ancient Sages Buddhism and Dimensions: Spiritual Development Hinduism and Dimensions: Karma and Reincarnation Shamanism and Dimensions: Spiritual Journeys Human Body and Energy Centers: Chakras Chakra Balancing and Healing: Holistic Approach Frequencies and Vibrations: The Language of Energy Crystals and Energy: Healing and Balance Reiki and Energy Healing: Modern Applications Spiritual Applications: Interdimensional Connections Traces of the Unseen World: Historical Examples Mysterious Events: The Unexplained Phenomenon UFOs and Aliens: Fact or Fiction? Exploration of the Unknown: A Continuous Process Man's Place in the Universe: Existential Questions



Quantum Systems, Channels, Information

Author : Alexander S. Holevo

Publisher : Walter de Gruyter

Page : 364 pages

File Size : 48,47 MB

Release : 2012-12-06

Category : Science

ISBN : 3110273403

Get eBook

Book Description

The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.



Quantum Thermodynamics

Author : Jochen Gemmer

Publisher : Springer Science & Business Media

Page : 338 pages

File Size : 43,71 MB

Release : 2009-10-21

Category : Science

ISBN : 3540705090

Get eBook

Book Description

Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?dence in the fruitfulness of this approach has waned. — Y. Ben-Menahem and I. Pitowsky [1] Abstract The basic motivation behind the present text is threefold: To give a new explanation for the emergence of thermodynamics, to investigate the interplay between quantum mechanics and thermodynamics, and to explore possible ext- sions of the common validity range of thermodynamics. Originally, thermodynamics has been a purely phenomenological science. Early s- entists (Galileo, Santorio, Celsius, Fahrenheit) tried to give de?nitions for quantities which were intuitively obvious to the observer, like pressure or temperature, and studied their interconnections. The idea that these phenomena might be linked to other ?elds of physics, like classical mechanics, e.g., was not common in those days. Such a connection was basically introduced when Joule calculated the heat equ- alent in 1840 showing that heat was a form of energy, just like kinetic or potential energy in the theory of mechanics. At the end of the 19th century, when the atomic theory became popular, researchers began to think of a gas as a huge amount of bouncing balls inside a box.



The Black Hole War

Author : Leonard Susskind

Publisher : Little, Brown

Page : 352 pages

File Size : 48,19 MB

Release : 2008-07-07

Category : Science

ISBN : 0316032697

Get eBook

Book Description

What happens when something is sucked into a black hole? Does it disappear? Three decades ago, a young physicist named Stephen Hawking claimed it did, and in doing so put at risk everything we know about physics and the fundamental laws of the universe. Most scientists didn't recognize the import of Hawking's claims, but Leonard Susskind and Gerard t'Hooft realized the threat, and responded with a counterattack that changed the course of physics. The Black Hole War is the thrilling story of their united effort to reconcile Hawking's revolutionary theories of black holes with their own sense of reality -- effort that would eventually result in Hawking admitting he was wrong, paying up, and Susskind and t'Hooft realizing that our world is a hologram projected from the outer boundaries of space. A brilliant book about modern physics, quantum mechanics, the fate of stars and the deep mysteries of black holes, Leonard Susskind's account of the Black Hole War is mind-bending and exhilarating reading.



Abstract Methods In Information Theory (Second Edition)

Author : Yuichiro Kakihara

Publisher : World Scientific

Page : 413 pages

File Size : 33,16 MB

Release : 2016-06-09

Category : Computers

ISBN : 9814759252

Get eBook

Book Description

Information Theory is studied from the following points of view: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources.The main purpose of this book is to present information channels in the environment of functional analysis and operator theory as well as probability theory. Ergodic, mixing, and AMS channels are also considered in detail with some illustrations. In this second edition, channel operators are studied in many aspects, which generalize ordinary channels. Also Gaussian channels are considered in detail together with Gaussian measures on a Hilbert space. The Special Topics chapter deals with features such as generalized capacity, channels with an intermediate noncommutative system, and von Neumann algebra method for channels. Finally, quantum (noncommutative) information channels are examined in an independent chapter, which may be regarded as an introduction to quantum information theory. Von Neumann entropy is introduced and its generalization to a C*-algebra setting is given. Basic results on quantum channels and entropy transmission are also considered.