Group Representation for Quantum Theory


Book Description

This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.




Quantum Key Distribution Networks


Book Description

This book focuses on practical implementation details, telecommunication techniques, security and technology challenges and approaches to implementing quantum technology in modern telecommunication systems. The authors use their extensive practical academic and industrial experience in network technologies and provide details from international projects in quantum cryptography in which they actively participate. Using a variety of examples, analogies, illustrations, tables, and features from practical quantum network realizations, the authors provide a unique view of quantum technology from an engineering telecommunication standpoint, allowing the reader to identify the advantages and challenges of quantum technology. This book also addresses challenges posed by quantum technology such as network organization, passive and active eavesdropping, and future trends in QKD such as Software Defined Networking (SDN) with QKD and application QKD in 5G networks. It is conceived through eight chapters by treating the following thematic units separately: Fundamentals of Quantum Key Distribution, QoS architecture/mode, QoS MAC layer, QoS signaling techniques for key management and session negotiation purpose and QoS routing protocols that minimize the consumption of key material through the equitable utilization of network resources when finding an optimal path. Through numerous information on practical solutions, simulation examples, illustrations, and analysis, readers can easily distinguish the specificity of quantum technology and understand the challenges and methods of practical implementation of quantum cryptography in common telecommunications standards. Researchers working in quantum technology and applied networking security as well as advanced-level students studying computer science and electrical engineering will benefit from this book. Professionals working within these related fields will also benefit from this book.




Surgical Robotics


Book Description

Surgical robotics is a rapidly evolving field. With roots in academic research, surgical robotic systems are now clinically used across a wide spectrum of surgical procedures. Surgical Robotics: Systems Applications and Visions provides a comprehensive view of the field both from the research and clinical perspectives. This volume takes a look at surgical robotics from four different perspectives, addressing vision, systems, engineering development and clinical applications of these technologies. The book also: -Discusses specific surgical applications of robotics that have already been deployed in operating rooms -Covers specific engineering breakthroughs that have occurred in surgical robotics -Details surgical robotic applications in specific disciplines of surgery including orthopedics, urology, cardiac surgery, neurosurgery, ophthalmology, pediatric surgery and general surgery Surgical Robotics: Systems Applications and Visions is an ideal volume for researchers and engineers working in biomedical engineering.




Nanotechnology for Smart Concrete


Book Description

Nanomaterials can markedly improve the mechanical properties of concrete, as well as reduce the porosity and enhance the durability of concrete. The application of nanotechnology in concrete is still in its infancy. However, an ever-growing demand for ultra-high-performance concrete and recurring environmental pollution caused by ordinary Portland cement has encouraged engineers to exploit nanotechnology in the construction industry. Nanotechnology for Smart Concrete discusses the advantages and applications of nanomaterials in the concrete industry, including high-strength performance, microstructural improvement, self-healing, energy storage, and coatings. The book Analyses the linkage of concrete materials with nanomaterials and nanostructures Discusses the applications of nanomaterials in the concrete industry, including energy storage in green buildings, anti-corrosive coatings, and inhibiting pathogens and viruses Covers self-healing concrete Explores safety considerations, sustainability, and environmental impact of nanoconcrete Includes an appendix of solved questions This comprehensive and innovative text serves as a useful reference for upper-level undergraduate students, graduate students, and professionals in the fields of Civil and Construction Engineering, Materials Science and Engineering, and Nanomaterials. Dr. Ghasan Fahim Huseien is a research fellow at the Department of Building, School of Design and Environment, National University of Singapore, Singapore. He received his PhD degree from the University of Technology Malaysia in 2017. Dr. Huseien has over 5 years of Applied R&D and 10 years of experience in manufacturing smart materials for sustainable building and smart cities. He has expertise in Advanced Sustainable Construction Materials covering Civil Engineering, Environmental Sciences and Engineering. He has authored and co-authored 50+ publications and technical reports, 3 books, and 15 book chapters, and participated in 25 national and international conferences/workshops. He is a peer reviewer for several international journals as well as Master’s and PhD students. He is a member of the Concrete Society of Malaysia and the American Concrete Institute. Dr. Nur Hafizah Abd Khalid is a Senior Lecturer at the School of Civil Engineering, Universiti Teknologi, Malaysia (UTM), and is a research member of the Construction Material Research Group (CMRG). She is currently a Council Member of the Concrete Society Malaysia (CSM). She earned her Master’s degree on structure and materials in 2011 from the Universiti Teknologi Malaysia. She received a Young Women Scientist Award (representing Malaysia) in 2014 in South Korea by KWSE/APNN. She is currently appointed as an Inviting Researcher at Hunan University, China, funded under the Talented Young Scientist Program (TYSP). Her research interests focus on concrete structural systems, advanced concrete technology (green concrete technology and fibre reinforced concrete), civil engineering materials, polymer composites, and bio-composites. Professor Dr. Jahangir Mirza has over 35 years of Applied Research and Development (R&D) as well as teaching experience. He has expertise in Advanced Sustainable Construction Materials covering Civil Engineering, Environmental Sciences and Engineering, Chemistry, Earth Sciences, Geology, and Architecture departments. He has been a Senior Scientist at the Research Institute of Hydro-Quebec (IREQ), Montreal, Canada since 1985. He has been a Visiting Research Professor for the Environmental Engineering program at the University of Guelph in Ontario, Canada since 2018.




Micro/Nano Science and Engineering


Book Description

Selected, peer reviewed papers from the Joint International Conference on Nanoscience, Engineering and Management (BOND21), August 19-21, 2013, Penang, Malaysia




Quantum Interaction


Book Description

This book constitutes the refereed proceedings of the Third International Symposium on Quantum Interaction, QI 2009, held in Saarbrücken, Germany, in March 2009. The 21 revised full papers presented together with the 3 position papers were carefully reviewed and selected from numerous submissions. The papers show the cross-disciplinary nature of quantum interaction covering topics such as computation, cognition, decision theory, information retrieval, information systems, social interaction, computational linguistics and finance.




Quantum Computing Environments


Book Description

This book explains the evolution of techniques and strategies in quantum computing, discussing the digital transition towards the quantum computing application in various sectors. The book provides a comprehensive insight into the quantum mechanics and quantum computing techniques and tools and how they have evolved and the impacted in supporting and flourishing business during the quantum computing era. This book includes chapters that discuss the most primitive quantum schemes to the most recent use of Internet, finance and radar technology, thus leveraging greater use of new technologies like security and Internet and others. The content is relevant for an audience that is involved in the research and development of advanced quantum systems. It gives the industry, researchers, and students interested in learning the various quantum computing sectors with the necessary information and tools that can be used to research, design and develop advanced quantum computing systems and techniques.




Mathematical Foundations of Computer Science 2015


Book Description

This two volume set LNCS 9234 and 9235 constitutes the refereed conference proceedings of the 40th International Symposium on Mathematical Foundations of Computer Science, MFCS 2015, held in Milan, Italy, in August 2015. The 82 revised full papers presented together with 5 invited talks were carefully selected from 201 submissions. The papers feature high-quality research in all branches of theoretical computer science. They have been organized in the following topical main sections: logic, semantics, automata, and theory of programming (volume 1) and algorithms, complexity, and games (volume 2).




Theory of Quantum Computation, Communication, and Cryptography


Book Description

This book constitutes revised selected papers from the 7th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2012, held in Tokyo, Japan, in May 2012. The 12 papers presented were carefully reviewed and selected for inclusion in this book. They contain original research on the rapidly growing, interdisciplinary field of quantum computation, communication and cryptography. Topics addressed are such as quantum algorithms, quantum computation models, quantum complexity theory, simulation of quantum systems, quantum programming languages, quantum cryptography, quantum communication, quantum estimation, quantum measurement, quantum tomography, completely positive maps, decoherence, quantum noise, quantum coding theory, fault-tolerant quantum computing, entanglement theory, and quantum teleportation.




Applied Quantum Cryptography


Book Description

Using the quantum properties of single photons to exchange binary keys between two partners for subsequent encryption of secret data is an absolutely novel te- nology. Only a few years ago quantum cryptography – or better Quantum Key Distribution – was the domain of basic research laboratories at universities. But during the last few years things changed. Quantum Key Distribution or QKD left the laboratories and was picked up by more practical-oriented teams that worked hard to develop a practically applicable technology out of the astonishing results of basic research. One major milestone toward a QKD technology was a large research and dev- opment project funded by the European Commission that aimed at combining qu- tum physics with complementary technologies that are necessary to create a tech- cal solution: electronics, software, and network components were added within the project SECOQC (Development of a Global Network for Secure Communication based on Quantum Cryptography) that teamed up all expertise on European level to get a technology for future cryptography.