Long-distance Quantum Communication with Neutral Atoms

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Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (154 download)

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Book Synopsis Long-distance Quantum Communication with Neutral Atoms by : Mohsen Razavi

Download or read book Long-distance Quantum Communication with Neutral Atoms written by Mohsen Razavi and published by . This book was released on 2006 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Cont.) We propose a non-adiabatic mechanism for driving off-resonant Raman transitions that can be used in loading trapped-atom quantum memories. Our method is more flexible than its adiabatic counterpart in that it allows use of larger cavities and a larger class of driving sources. We also describe two proposed implementations for long-distance quantum communication-one that uses trapped atoms as quantum memories and another that employs atomic ensembles for quantum storage. We provide, for the first time, a detailed quantitative performance analysis of the latter system, which enables us to compare these two systems in terms of the fidelity and the throughput that they achieve for entanglement distribution, repeater operation, and quantum teleportation. Finally, we study quantum computing systems that use the cross-Kerr nonlinearity between single-photon qubits and a coherent mode of light. The coherent beam serves a mediating role in coupling two weak single-photon beams. We analytically study this structure using a continuous-time formalism for the cross-Kerr effect in optical fibers. Our results establish stringent conditions that must be fulfilled for the system's proper operation.

Quantum Entanglement and Information Processing

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Publisher : Elsevier
ISBN 13 : 0080535429
Total Pages : 639 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Quantum Entanglement and Information Processing by :

Download or read book Quantum Entanglement and Information Processing written by and published by Elsevier. This book was released on 2004-11-05 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been recognised recently that the strange features of the quantum world could be used for new information transmission or processing functions such as quantum cryptography or, more ambitiously, quantum computing. These fascinating perspectives renewed the interest in fundamental quantum properties and lead to important theoretical advances, such as quantum algorithms and quantum error correction codes. On the experimental side, remarkable advances have been achieved in quantum optics, solid state physics or nuclear magnetic resonance. This book presents the lecture notes of the Les Houches Summer School on ‘Quantum entanglement and information processing’. Following the long tradition of the les Houches schools, it provides a comprehensive and pedagogical approach of the whole field, written by renowned specialists.One major goal of this book is to establish connections between the communities of quantum optics and of quantum electronic devices working in the area of quantum computing. When two communities share the same goals, the universality of physics unavoidably leads to similar developments. However, the communication barrier is often high, and few physicists are able to overcome it. This school has contributed to bridge the existing gap between communities, for the benefit of the future actors in the field of quantum computing. The book thus combines introductory chapters, providing the reader with a sufficiently wide theoretical framework in quantum information, quantum optics and quantum circuits physics, with more specialized presentations of recent theoretical and experimental advances in the field. This structure makes the book accessible to any graduate student having a good knowledge of basic quantum mechanics, and extremely useful to researchers. · Covers quantum optics, solid state physics and NMR implementations· Pedagogical approach combining introductory lectures and advanced chapters· Written by leading experts in the field· Accessible to all graduate students with a basic knowledge of quantum mechanics

A Fast and Robust Approach to Long-Distance Quantum Communication With Atomic Ensembles

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Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis A Fast and Robust Approach to Long-Distance Quantum Communication With Atomic Ensembles by :

Download or read book A Fast and Robust Approach to Long-Distance Quantum Communication With Atomic Ensembles written by and published by . This book was released on 2007 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum repeaters create long-distance entanglement between quantum systems while overcoming difficulties such as the attenuation of single photons in a fiber. Recently, an implementation of a repeater protocol based on single qubits in atomic ensembles and linear optics has been proposed [Duan et al., Nature (London) 414, 413 (2001)]. Motivated by rapid experimental progress towards implementing that protocol, here we develop a more efficient scheme compatible with active purification of arbitrary errors. Using similar resources as the earlier protocol, our approach intrinsically purifies leakage out of the logical subspace and all errors within the logical subspace, leading to greatly improved performance in the presence of experimental inefficiencies. Our analysis indicates that our scheme could generate approximately one pair per 3 min over 1280 km distance with fidelity (F> or = 78%) sufficient to violate Bell's inequality.

Long Distance Entanglement Between Quantum Memories

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Publisher : Springer Nature
ISBN 13 : 9811979391
Total Pages : 147 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Long Distance Entanglement Between Quantum Memories by : Yong Yu

Download or read book Long Distance Entanglement Between Quantum Memories written by Yong Yu and published by Springer Nature. This book was released on 2023-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights novel research work done on cold atom-based quantum networks. Given that one of the main challenges in building the quantum network is the limited entanglement distribution distance, this book presents some state-of-the-art experiments in tackling this challenge and, for the first time, establishes entanglement between quantum memories via metropolitan-scale fiber transmission. This achievement is accomplished by cooperating high-efficiency cold quantum memories, low-loss quantum frequency conversion modules, and long-fiber phase-locking techniques. In the book, the scheme design, experimental setup, data analyses, and numerous technical details are given. Therefore, it suits a broad readership that includes all students, researchers, and technicians who work in quantum information sciences.

Quantum Entanglement in Electron Optics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642240704
Total Pages : 301 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Quantum Entanglement in Electron Optics by : Naresh Chandra

Download or read book Quantum Entanglement in Electron Optics written by Naresh Chandra and published by Springer Science & Business Media. This book was released on 2013-05-30 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph forms an interdisciplinary study in atomic, molecular, and quantum information (QI) science. Here a reader will find that applications of the tools developed in QI provide new physical insights into electron optics as well as properties of atoms & molecules which, in turn, are useful in studying QI both at fundamental and applied levels. In particular, this book investigates entanglement properties of flying electronic qubits generated in some of the well known processes capable of taking place in an atom or a molecule following the absorption of a photon. Here, one can generate Coulombic or fine-structure entanglement of electronic qubits. The properties of these entanglements differ not only from each other, but also from those when spin of an inner-shell photoelectron is entangled with the polarization of the subsequent fluorescence. Spins of an outer-shell electron and of a residual photoion can have free or bound entanglement in a laboratory.

Expanding Frontier Of Atomic Physics, The - Proceedings Of The Xviii International Conference On Atomic Physics

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Publisher : World Scientific
ISBN 13 : 9814487031
Total Pages : 377 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Expanding Frontier Of Atomic Physics, The - Proceedings Of The Xviii International Conference On Atomic Physics by : Hossein R Sadeghpour

Download or read book Expanding Frontier Of Atomic Physics, The - Proceedings Of The Xviii International Conference On Atomic Physics written by Hossein R Sadeghpour and published by World Scientific. This book was released on 2003-04-29 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important proceedings volume highlights the major scientific achievement of the last decade in atomic physics, namely the creation of the gaseous Bose-Einstein condensate, which was featured prominently at the XVIII International Conference on Atomic Physics (ICAP2002). Two recipients of the 2001 Nobel Prize delivered lectures at the meeting. Among the topics discussed were novel processes leading to degenerate Fermi gases in atom traps, creation of cold molecules, condensates in optical lattices, atoms in intense fields, tests of fundamental symmetries, quantum control and information, time and frequency standards.

Current Trends in Atomic Physics

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Publisher : Oxford University Press, USA
ISBN 13 : 0198837194
Total Pages : 472 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Current Trends in Atomic Physics by : Antoine Browaeys

Download or read book Current Trends in Atomic Physics written by Antoine Browaeys and published by Oxford University Press, USA. This book was released on 2019-05-14 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the lecture notes of courses given at Session CVII of the summer school in physics, entitled "Current Trends in Atomic Physics" and held in July, 2016 in Les Houches, France. Atomic physics provides a paradigm for exploring few-body quantum systems with unparalleled control. In recent years, this ability has been applied in diverse areas including condensed matter physics, high energy physics, chemistry and ultra-fast phenomena as well as foundational aspects of quantum physics. This book addresses these topics by presenting developments and current trends via a series of tutorials and lectures presented by international leading investigators.

Development of a Quantum Repeater for Long-Distance Quantum Communication Using Photonic Information Storage

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Development of a Quantum Repeater for Long-Distance Quantum Communication Using Photonic Information Storage by :

Download or read book Development of a Quantum Repeater for Long-Distance Quantum Communication Using Photonic Information Storage written by and published by . This book was released on 2007 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this project, we have carried out the pioneering work for long-distance quantum communication using atomic ensembles for photon-state storage and for implementation of quantum repeaters. This work was followed by many groups and is now considered as one of the most promising approaches to overcoming photon losses in long-distance quantum communication. Specific highlights include theoretical proposals for quantum repeaters based on atomic ensembles (Nature, 414, 413, 2001), atom-atom correlations mediated by dark-state polaritons (Phys. Rev. Lett., 88, 243602, 2002), generation of stationary pulses of light (Phys. Rev. Lett, 89, 143602, 2002); experimental demonstrations of atomic memory for correlated photon states (Science, 301, 196, 2003), stationary pulses of light (Nature 426, 638, 2003), shaping quantum pulses via atomic memory (Phys. Rev. Lett. 93, 233602, 2004)), and finally realization of two-node quantum network involving generation and storage of single photon pulses in two remote ensembles (Nature, 438, 837, 2005). Finally, we proposed and analyzed a novel method that uses fixed, minimal physical resources to achieve generation and nested purification of quantum entanglement for quantum communication over arbitrarily long distances. In this method, solid-state single photon emitters with two internal degrees of freedom formed by an electron spin and a nuclear spin are used to build intermediate nodes in a quantum channel (Phys. Rev. Lett. 96,070504, 2006). Recently, we have experimentally demonstrated such a node using Nitrogen-Vacancy centers in room temperature diamond lattice (submitted to Science, 2007).

Photonic Quantum Technologies

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Publisher : John Wiley & Sons
ISBN 13 : 3527837434
Total Pages : 910 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Photonic Quantum Technologies by : Mohamed Benyoucef

Download or read book Photonic Quantum Technologies written by Mohamed Benyoucef and published by John Wiley & Sons. This book was released on 2023-05-04 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: Photonic Quantum Technologies Brings together top-level research results to enable the development of practical quantum devices In Photonic Quantum Technologies: Science and Applications, the editor Mohamed Benyoucef and a team of distinguished scientists from different disciplines deliver an authoritative, one-stop overview of up-to-date research on various quantum systems. This unique book reviews the state-of-the-art research in photonic quantum technologies and bridges the fundamentals of the field with applications to provide readers from academia and industry, in one-location resource, with cutting-edge knowledge they need to have to understand and develop practical quantum systems for application in e.g., secure quantum communication, quantum metrology, and quantum computing. The book also addresses fundamental and engineering challenges en route to workable quantum devices and ways to circumvent or overcome them. Readers will also find: A thorough introduction to the fundamentals of quantum technologies, including discussions of the second quantum revolution (by Nobel Laureate Alain Aspect), solid-state quantum optics, and non-classical light and quantum entanglement Comprehensive explorations of emerging quantum technologies and their practical applications, including quantum repeaters, satellite-based quantum communication, quantum networks, silicon quantum photonics, integrated quantum systems, and future vision Practical discussions of quantum technologies with artificial atoms, color centers, 2D materials, molecules, atoms, ions, and optical clocks Perfect for molecular and solid-state physicists, Photonic Quantum Technologies: Science and Applications will also benefit industrial and academic researchers in photonics and quantum optics, graduate students in the field; engineers, chemists, and computer and material scientists.

Manipulating Quantum Systems

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Publisher : National Academies Press
ISBN 13 : 0309499542
Total Pages : 315 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Manipulating Quantum Systems by : National Academies of Sciences, Engineering, and Medicine

Download or read book Manipulating Quantum Systems written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2020-09-14 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.

Advanced Quantum Communications

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Publisher : John Wiley & Sons
ISBN 13 : 111833745X
Total Pages : 437 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Advanced Quantum Communications by : Sandor Imre

Download or read book Advanced Quantum Communications written by Sandor Imre and published by John Wiley & Sons. This book was released on 2012-11-27 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an overview of the most advanced quantum informational geometric techniques, which can help quantum communication theorists analyze quantum channels, such as security or additivity properties. Each section addresses an area of major research of quantum information theory and quantum communication networks. The authors present the fundamental theoretical results of quantum information theory, while also presenting the details of advanced quantum ccommunication protocols with clear mathematical and information theoretical background. This book bridges the gap between quantum physics, quantum information theory, and practical engineering.

Quantum Memory with Atomic Ensembles of Rubidium and Single Photons for Long Distance Quantum Communication

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)

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Book Synopsis Quantum Memory with Atomic Ensembles of Rubidium and Single Photons for Long Distance Quantum Communication by : Thorsten Straßel

Download or read book Quantum Memory with Atomic Ensembles of Rubidium and Single Photons for Long Distance Quantum Communication written by Thorsten Straßel and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Experimental Quantum Computation and Information

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Publisher : IOS Press
ISBN 13 : 1614990042
Total Pages : 562 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Experimental Quantum Computation and Information by : F. de Martini

Download or read book Experimental Quantum Computation and Information written by F. de Martini and published by IOS Press. This book was released on 2003-02-12 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Fermi Summer School of Physics on "Experimental Quantum Information and Computing" represents a primer on one of the most intriguing and rapidly expanding new areas of physics. In this part, the interest in quantum information (QI) science is due to the discovery that a computer operating on quantum mechanical principles can solve certain important computational problems exponentially faster than any conceivable classical computer. But this interest is also due to the interdisciplinary nature of the field: the rapid growth is attributable, in part, to the stimulating confluence of researchers and ideas from physics, chemistry, mathematics, information theory, and computer science. Physics plays a paramount role in QI science, as we realize that computing is itself a physical process subject to physical laws. The incredible growth of classical computers and information processors in the 20th century stems from Turing's notion that a computer is independent of the physical device actually being used; be they relays, vacuum tubes, or semiconductor transistors. As we strive to build useful quantum information processors into the 21st century, we thus look for any physical system that obeys the laws of quantum mechanics, from single photons and atoms to quantum superconducting devices. These Fermi lectures take us on a journey through these and other promising current experimental candidates for QI processing, spanning quantum optics and laser physics, atomic and molecular physics, physical chemistry, and condensed-matter physics. While this broad coverage of experimental physics represents a challenge to the student, such an appreciation of these fields will be critical in the future success of quantum technology. Indeed, the most exciting feature of QI science is that the technology ultimately leading to a quantum processor is likely presently unknown.

Quantum Networking with Atomic Ensembles

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (713 download)

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Book Synopsis Quantum Networking with Atomic Ensembles by : Dzmitry Matsukevich

Download or read book Quantum Networking with Atomic Ensembles written by Dzmitry Matsukevich and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum communication networks enable secure transmission of information between remote sites. However, at present, photon losses in the optical fiber limit communication distances to less than 150 kilometers. The quantum repeater idea allows extension of these distances. In practice, it involves the ability to store quantum information for a long time in atomic systems and coherently transfer quantum states between matter and light. Previously known schemes involved atomic Raman transitions in the UV or near-infrared and suffered from severe loss in optical fiber that precluded long-distance quantum communication. In this thesis a practical quantum telecommunication scheme based on cascade atomic transitions is proposed, with particular reference to cold alkali metal ensembles. Within this proposal, essential building blocks for a quantum network architecture are demonstrated experimentally, including storage and retrieval of single photons transmitted between remote quantum memories, collapses and revivals of quantum memories, deterministic generation of single photons via conditional quantum evolution, quantum state transfer between atomic and photonic qubits, entanglement of atomic and photonic qubits, entanglement of remote atomic qubits, and entanglement of a pair of 1530 nm and 780 nm photons. These results pave the way for construction of a realistic quantum repeater for long distance quantum communication.

Explorations in Quantum Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 1846288878
Total Pages : 724 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Explorations in Quantum Computing by : Colin P. Williams

Download or read book Explorations in Quantum Computing written by Colin P. Williams and published by Springer Science & Business Media. This book was released on 2010-12-07 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: By the year 2020, the basic memory components of a computer will be the size of individual atoms. At such scales, the current theory of computation will become invalid. "Quantum computing" is reinventing the foundations of computer science and information theory in a way that is consistent with quantum physics - the most accurate model of reality currently known. Remarkably, this theory predicts that quantum computers can perform certain tasks breathtakingly faster than classical computers – and, better yet, can accomplish mind-boggling feats such as teleporting information, breaking supposedly "unbreakable" codes, generating true random numbers, and communicating with messages that betray the presence of eavesdropping. This widely anticipated second edition of Explorations in Quantum Computing explains these burgeoning developments in simple terms, and describes the key technological hurdles that must be overcome to make quantum computers a reality. This easy-to-read, time-tested, and comprehensive textbook provides a fresh perspective on the capabilities of quantum computers, and supplies readers with the tools necessary to make their own foray into this exciting field. Topics and features: concludes each chapter with exercises and a summary of the material covered; provides an introduction to the basic mathematical formalism of quantum computing, and the quantum effects that can be harnessed for non-classical computation; discusses the concepts of quantum gates, entangling power, quantum circuits, quantum Fourier, wavelet, and cosine transforms, and quantum universality, computability, and complexity; examines the potential applications of quantum computers in areas such as search, code-breaking, solving NP-Complete problems, quantum simulation, quantum chemistry, and mathematics; investigates the uses of quantum information, including quantum teleportation, superdense coding, quantum data compression, quantum cloning, quantum negation, and quantum cryptography; reviews the advancements made towards practical quantum computers, covering developments in quantum error correction and avoidance, and alternative models of quantum computation. This text/reference is ideal for anyone wishing to learn more about this incredible, perhaps "ultimate," computer revolution. Dr. Colin P. Williams is Program Manager for Advanced Computing Paradigms at the NASA Jet Propulsion Laboratory, California Institute of Technology, and CEO of Xtreme Energetics, Inc. an advanced solar energy company. Dr. Williams has taught quantum computing and quantum information theory as an acting Associate Professor of Computer Science at Stanford University. He has spent over a decade inspiring and leading high technology teams and building business relationships with and Silicon Valley companies. Today his interests include terrestrial and Space-based power generation, quantum computing, cognitive computing, computational material design, visualization, artificial intelligence, evolutionary computing, and remote olfaction. He was formerly a Research Scientist at Xerox PARC and a Research Assistant to Prof. Stephen W. Hawking, Cambridge University.

Engineering the Atom-Photon Interaction

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Publisher : Springer
ISBN 13 : 3319192310
Total Pages : 410 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Engineering the Atom-Photon Interaction by : Ana Predojević

Download or read book Engineering the Atom-Photon Interaction written by Ana Predojević and published by Springer. This book was released on 2015-07-16 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive view of the contemporary methods for quantum-light engineering. In particular, it addresses different technological branches and therefore allows the reader to quickly identify the best technology - application match. Non-classical light is a versatile tool, proven to be an intrinsic part of various quantum technologies. Its historical significance has made it the subject of many text books written both from theoretical and experimental point of view. This book takes another perspective by giving an insight to modern technologies used to generate and manipulate quantum light.

“The” Conceptual Completion and the Extensions of Quantum Mechanics 1932 - 1941 ; Epilogue: Aspects of the Further Development of Quantum Theory 1942 - 1999

Download “The” Conceptual Completion and the Extensions of Quantum Mechanics 1932 - 1941 ; Epilogue: Aspects of the Further Development of Quantum Theory 1942 - 1999 PDF Online Free

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387951829
Total Pages : 956 pages
Book Rating : 4.9/5 (518 download)

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Book Synopsis “The” Conceptual Completion and the Extensions of Quantum Mechanics 1932 - 1941 ; Epilogue: Aspects of the Further Development of Quantum Theory 1942 - 1999 by : Jagdish Mehra

Download or read book “The” Conceptual Completion and the Extensions of Quantum Mechanics 1932 - 1941 ; Epilogue: Aspects of the Further Development of Quantum Theory 1942 - 1999 written by Jagdish Mehra and published by Springer Science & Business Media. This book was released on 2001-06-29 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.||Comments by distinguished physicists on "The Historical Development of Quantum Theory":||"¿the most definitive work undertaken by anyone on this vast and most important development in the history of physics. Jagdish Mehra, trained in theoretical physics under Pauli, Heisenberg, and Dirac, pursued the vision of his youth to write about the historical and conceptual development of quantum theory in the 20th century¿This series of books on the HDQT has thus become the most authentic and permanent source of our knowledge of how quantum theory, its extensions and applications developed. My heartfelt congratulations."|-Hans A. Bethe, Nobel Laureate||"A thrilling and magnificent achievement!"|-Subrahmanyan Chandrasekhar, FRS, Nobel Laureate||"¿capture(s) precisely, accurately, and thoroughly the very essence and all the fundamental details of the theory, and that is a remarkable achievement¿I have greatly enjoyed reading these books and learned so many new things from them. This series of books will remain a permanent source of knowledge about the creation and development of quantum theory. Congratulations!"|-Paul A. Dirac, FRS, Nobel Laureate||"The wealth and accuracy of detail in 'The Historical Development of Quantum Theory' are breathtaking."|-Richard P. Feynman, Nobel Laureate