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9096 results in Communications, Signal Processing and Information Theory

Page 51 of 455

  • 2 - Quantum Mechanics

  • Juan José García Ripoll
  • Book:
    Quantum Information and Quantum Optics with Superconducting Circuits
    Published online:
    04 August 2022
    Print publication:
    18 August 2022, pp 7-18

  • Summary

    In this chapter, we review basic concepts from quantum mechanics that will be required for the study of superconducting quantum circuits. We review the fundamental idea of energy quantization and how this can be formalized, using Dirac's ideas, to develop a quantum mechanical description that is consistent with the classical theory for a comparable object. We review the notions of quantum state, observable and projective and generalized measurements, particularizing some of these ideas to the simple case of a two-dimensional object or qubit.

Quantum Information and Quantum Optics with Superconducting Circuits
  • Juan José García Ripoll
  • Published online:
    04 August 2022
    Print publication:
    18 August 2022
  • Superconducting quantum circuits are among the most promising solutions for the development of scalable quantum computers. Built with sizes that range from microns to tens of metres using superconducting fabrication techniques and microwave technology, superconducting circuits demonstrate distinctive quantum properties such as superposition and entanglement at cryogenic temperatures. This book provides a comprehensive and self-contained introduction to the world of superconducting quantum circuits, and how they are used in current quantum technology. Beginning with a description of their basic superconducting properties, the author then explores their use in quantum systems, showing how they can emulate individual photons and atoms, and ultimately behave as qubits within highly connected quantum systems. Particular attention is paid to cutting-edge applications of these superconducting circuits in quantum computing and quantum simulation. Written for graduate students and junior researchers, this accessible text includes numerous homework problems and worked examples.

Page 51 of 455