Introduction to quantum technologies
Author(s)
Bibliographic Information
Introduction to quantum technologies
(Lecture notes in physics, v. 1004)
Springer, c2022
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Note
Includes bibliographical references (p. 291-293) and index
Description and Table of Contents
Description
This book is a concise primer of quantum technology aiming at providing a comprehensive material of fundamentals to help beginners understand the common concepts and background theories to technologies for individual quantum systems. Further, it also describes how the concepts and theories are applied to technologies in various systems.
This book consists of three parts. The first part looks back over basics of quantum mechanics necessary for the main content, including quantum state and operators, time evolution and perturbation theory. The second part explains in detail key components indispensable to follow quantum technologies: two-level systems, harmonic oscillator and cavity quantum electrodynamics and resonators. In the third part, the physical quantum systems are treated in a more abstract way by introducing quantum logic gates, quantum measurement and quantum error correction. Technical supplements are included in Appendices.
The well-compiled topics and concise presentation feature the book as a supplemental primer in the courses of quantum technologies including quantum computing, quantum communication, quantum sensing and quantum simulation.
Table of Contents
I. Quantum States and Quantum Mechanics
1. Introduction
2. Linear Algebra
3. Wavefunction and Notations in Quantum Mechanics
4. Time Evolution in Quantum System
5. Perturbation Theory
6. Harmonic oscillator
7. Two-level system and interaction with electromagnetic waves
II. Harmonic Oscillator, Qubit and Coupled Quantum Systems
8. Electromagnetic cavities and cavity quantum electrodynamics
9. Various couplings in quantum systems
III. Quantum Information Processing and Quantum Technologies
10. Basics of quantum information processing
11. Quantum technologies
A. Position and momentum representations
B. Unitary transformation to a rotating frame
C. Extraction of a two-level system from a three-level system
D. Quantum theory of hydrogen atom
E. Master equation
F. Schrieffer-Wolff transformation
G. Derivation of the SWAP gate from the Heisenberg Hamiltonian
H. Cavity cooling of a mechanical mode
I. Entangled states and quantum teleportation
J. Quantum No-Cloning Theorem
by "Nielsen BookData"