Entanglement Measures and Their Properties in Quantum Field Theory


Book Description

This book gives a rigorous treatment of entanglement measures in the general context of quantum field theory. It covers a broad range of models and the use of fields allows us to properly take the localization of systems into account. The required mathematical techniques are introduced in a self-contained way.




The Biggest Ideas in the Universe


Book Description

INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.




The Entanglement Theory


Book Description

"Whether you feel a strong connection to Entanglement Theory or not, know that the phenomenon hits closer to home than you may think it does." The reason is love--the human thread that ties us all together. Similar to the mysterious connections that explain our romantic and sexual attractions, quantum entanglement theory explains those ties on a subatomic level. Changes to one particle can induce changes to a particle in a similar environment, millions of miles away, according to conditions that this book will clarify for you. The entanglement theory's first true experiment was conducted in China's Gobi Desert in 2016. Scientists fired a rocket containing a satellite with sensitive photon receivers into space. The satellite, called Micius, could detect the quantum levels of photons that these same scientists would fire from the ground soon thereafter. Making history, this satellite created the proper means for a quantum network that reaches from space to the ground, the farthest-reaching ever. Entanglement is an invisible art, the identical photons interacting within optical fibers, lost in space and time. This fact limits the distance over which scientists can test entanglement or merely detect it. The book discusses the following topics: The basic physical explanation of entanglement theory How it fits into the larger "Quantum Revolution" The causes for doubt in the quantum physicist community The proof of the theory's functionality Supporting and contradicting theories The innovative technologies which exist as a result of the theory How this theory explains the theory of consciousness The philosophical ideologies in play The difference between the classical physics world and the quantum physics world The mathematics involved in quantum entanglement How to detangle the entanglement theory While that may sound like a lot of obscure science, rest assured that this book will bring these scientific realities closer to you than they have ever been. Page up and order now.




Quantum Entanglement


Book Description

A concise, non-technical exploration of quantum entanglement—the enigma Albert Einstein called ‘spooky action at a distance’—and how it contradicts our assumptions about the ultimate nature of reality. Quantum physics is notable for its brazen defiance of common sense. (Think of Schrödinger's Cat, famously both dead and alive.) An especially rigorous form of quantum contradiction occurs in experiments with entangled particles. Our common assumption is that objects have properties whether or not anyone is observing them, and the measurement of one can’t affect the other. Quantum entanglement—called by Einstein “spooky action at a distance”—rejects this assumption, offering impeccable reasoning and irrefutable evidence of the opposite. Is quantum entanglement mystical, or just mystifying? In this volume in the MIT Press Essential Knowledge series, Jed Brody equips readers to decide for themselves. He explains how our commonsense assumptions impose constraints—from which entangled particles break free. Brody explores such concepts as local realism, Bell’s inequality, polarization, time dilation, and special relativity. He introduces readers to imaginary physicists Alice and Bob and their photon analyses; points out that it's easier to reject falsehood than establish the truth; and reports that some physicists explain entanglement by arguing that we live in a cross-section of a higher-dimensional reality. He examines a variety of viewpoints held by physicists, including quantum decoherence, Niels Bohr's Copenhagen interpretation, genuine fortuitousness, and QBism. This relatively recent interpretation, an abbreviation of “quantum Bayesianism,” holds that there's no such thing as an absolutely accurate, objective probability “out there,” that quantum mechanical probabilities are subjective judgments, and there's no “action at a distance,” spooky or otherwise.




Mind-Body Entanglement


Book Description

This book suggests a radical departure in approaching the mind-body problem. Instead of trying to causally relate subjective experience to the functioning of the body, it begins with the notion of the psychosomatic unity of the individual and looks for its conditions of possibility. This text shows that what makes this unity possible is the generalized entanglement relation that connects a person's subjective experience with its body functioning in a specific way.In addition to providing a significant contribution to the long-standing philosophical debate about the nature of the mind-body connection, this change of perspective based on the concept of generalized entanglement allows for exploring a holistic approach to health. It can for example explain the existence of body memory and leads to a better understanding of the genesis and evolution of internal diseases, allowing for the development of mind-body therapies. This volume also provides new insights into mental disorders and sets the theoretical basis of self-healing methods appealing to students, researchers and professionals in the fields.




The Age of Entanglement


Book Description

In The Age of Entanglement, Louisa Gilder brings to life one of the pivotal debates in twentieth century physics. In 1935, Albert Einstein famously showed that, according to the quantum theory, separated particles could act as if intimately connected–a phenomenon which he derisively described as “spooky action at a distance.” In that same year, Erwin Schrödinger christened this correlation “entanglement.” Yet its existence was mostly ignored until 1964, when the Irish physicist John Bell demonstrated just how strange this entanglement really was. Drawing on the papers, letters, and memoirs of the twentieth century’s greatest physicists, Gilder both humanizes and dramatizes the story by employing the scientists’ own words in imagined face-to-face dialogues. The result is a richly illuminating exploration of one of the most exciting concepts of quantum physics.




Helgoland


Book Description

Named a Best Book of 2021 by the Financial Times and a Best Science Book of 2021 by The Guardian “Rovelli is a genius and an amazing communicator… This is the place where science comes to life.” ―Neil Gaiman “One of the warmest, most elegant and most lucid interpreters to the laity of the dazzling enigmas of his discipline...[a] momentous book” ―John Banville, The Wall Street Journal A startling new look at quantum theory, from the New York Times bestselling author of Seven Brief Lessons on Physics, The Order of Time, and Anaximander. One of the world's most renowned theoretical physicists, Carlo Rovelli has entranced millions of readers with his singular perspective on the cosmos. In Helgoland, he examines the enduring enigma of quantum theory. The quantum world Rovelli describes is as beautiful as it is unnerving. Helgoland is a treeless island in the North Sea where the twenty-three-year-old Werner Heisenberg made the crucial breakthrough for the creation of quantum mechanics, setting off a century of scientific revolution. Full of alarming ideas (ghost waves, distant objects that seem to be magically connected, cats that appear both dead and alive), quantum physics has led to countless discoveries and technological advancements. Today our understanding of the world is based on this theory, yet it is still profoundly mysterious. As scientists and philosophers continue to fiercely debate the meaning of the theory, Rovelli argues that its most unsettling contradictions can be explained by seeing the world as fundamentally made of relationships rather than substances. We and everything around us exist only in our interactions with one another. This bold idea suggests new directions for thinking about the structure of reality and even the nature of consciousness. Rovelli makes learning about quantum mechanics an almost psychedelic experience. Shifting our perspective once again, he takes us on a riveting journey through the universe so we can better comprehend our place in it.




Entanglement, Information, and the Interpretation of Quantum Mechanics


Book Description

Entanglement was initially thought by some to be an oddity restricted to the realm of thought experiments. However, Bell’s inequality delimiting local - havior and the experimental demonstration of its violation more than 25 years ago made it entirely clear that non-local properties of pure quantum states are more than an intellectual curiosity. Entanglement and non-locality are now understood to ?gure prominently in the microphysical world, a realm into which technology is rapidly hurtling. Information theory is also increasingly recognized by physicists and philosophers as intimately related to the foun- tions of mechanics. The clearest indicator of this relationship is that between quantum information and entanglement. To some degree, a deep relationship between information and mechanics in the quantum context was already there to be seen upon the introduction by Max Born and Wolfgang Pauli of the idea that the essence of pure quantum states lies in their provision of probabilities regarding the behavior of quantum systems, via what has come to be known as the Born rule. The signi?cance of the relationship between mechanics and information became even clearer with Leo Szilard’s analysis of James Clerk Maxwell’s infamous demon thought experiment. Here, in addition to examining both entanglement and quantum infor- tion and their relationship, I endeavor to critically assess the in?uence of the study of these subjects on the interpretation of quantum theory.




The God Effect


Book Description

“A marvelously clear and engaging account of . . . the deepest mysteries of the quantum world and [converting] them into a useful technology.” —Gregory Chaitin, author of Meta Math! The Quest for Omega What is entanglement? It’s a connection between quantum particles, the building blocks of the universe. Once two particles are entangled, a change to one of them is reflected—instantly—in the other, be they in the same lab or light-years apart. So counterintuitive is this phenomenon and its implications that Einstein himself called it “spooky” and thought that it would lead to the downfall of quantum theory. Yet scientists have since discovered that quantum entanglement, the “God Effect,” was one of Einstein’s few mistakes. What does it mean? The possibilities offered by a fuller understanding of the nature of entanglement read like something out of science fiction: communications devices that could span the stars, codes that cannot be broken, computers that dwarf today’s machines in speed and power, teleportation, and more. In The God Effect, veteran science writer Brian Clegg has written an exceptionally readable (and equation-free) account of entanglement, its history, and its application. Those interested in the marvelous possibilities coming down the quantum road will find much to marvel, illuminate, and delight. “Clegg does an excellent job of explaining this complex situation in nontechnical terms . . . implications for future technological advances are huge, and Clegg is at his finest as he embeds potential advances in a broad historical context.” —Publishers Weekly “Well organized and succinct. . . . will fascinate [students].” —School Library Journal “Delightful. . . . The author does a superb job of presenting the story of a remarkable concept . . . in a relaxed and entertaining style.” —Professor Artur Ekert, Leigh Trapnell Professor of Quantum Physics, Cambridge University




Entangled


Book Description

A powerful and innovative argument that explores the complexity of the human relationship with material things, demonstrating how humans and societies are entrapped into the maintenance and sustaining of material worlds Argues that the interrelationship of humans and things is a defining characteristic of human history and culture Offers a nuanced argument that values the physical processes of things without succumbing to materialism Discusses historical and modern examples, using evolutionary theory to show how long-standing entanglements are irreversible and increase in scale and complexity over time Integrates aspects of a diverse array of contemporary theories in archaeology and related natural and biological sciences Provides a critical review of many of the key contemporary perspectives from materiality, material culture studies and phenomenology to evolutionary theory, behavioral archaeology, cognitive archaeology, human behavioral ecology, Actor Network Theory and complexity theory