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Tensor Network Contractions : Methods and Applications to Quantum Many-Body Systems
This book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.
Principles and Applications of NanoMEMS Physics
Presents the first unified exposition of the physical principles at the heart of NanoMEMS-based devices and applications. In particular, after beginning with a comprehensive presentation of the fundamentals and limitations of nanotechnology and MEMS fabrication techniques, the book addresses the physics germane to this dimensional regime, namely, quantum wave-particle phenomena, including, the manifestation of charge discreteness, quantized electrostatic actuation, and the Casimir effect, and quantum wave phenomena, including, quantized electrical conductance, quantum interference, Luttinger liquids, quantum entanglement, superconductivity and cavity quantum electrodynamics. Potential building blocks are also addressed for NanoMEMS applications, including, nanoelectromechanical quantum circuits and systems such as charge detectors, the which-path electron interferometer, and the Casimir oscillator, as well as a number of quantum computing implementation paradigms. Finally, NanoMEMS applications in photonics are addressed, including nanophotonic light sources and plasmonic devices.
Concise Guide to Quantum Computing : Algorithms, Exercises, and Implementations
This textbook is intended for practical, laboratory sessions associated with the course of quantum computing and quantum algorithms, as well as for self-study. It contains basic theoretical concepts and methods for solving basic types of problems and gives an overview of basic qubit operations, entangled states, quantum circuits, implementing functions, quantum Fourier transform, phase estimation, etc. The book serves as a basis for the application of new information technologies in education and corporate technical training: theoretical material and examples of practical problems, as well as exercises with, in most cases, detailed solutions, have relation to information technologies. A large number of detailed examples serve to better develop professional competencies in computer science.
