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3 results

  • 14 - Transition Rules

  • from Part III - A Short Course in Quantum Field Theory
  • David W. Snoke, University of Pittsburgh
  • Book:
    Interpreting Quantum Mechanics
    Published online:
    09 May 2024
    Print publication:
    16 May 2024, pp 201-218

  • Summary

    This chapter surveys several different mathematical methods for time-dependent change of quantum states using quantum field theory. The Bloch sphere method is introduced, which can be used to show the physics discussed in Chapter 3, that electronic transitions, or “jumps,” are not instantaneous.

  • 1 - Background Material

  • Thomas Vidick, California Institute of Technology, USA, Stephanie Wehner, Delft University of Technology, The Netherlands
  • Book:
    Introduction to Quantum Cryptography
    Published online:
    10 October 2023
    Print publication:
    14 September 2023, pp 1-39

  • Summary

    This chapter introduces the basic mathematical formalism for working with quantum information. We discover qubits, or quantum bits, how to combine them using the tensor product, and how to measure them by choosing a basis. We discuss unitary operations, which are elementary transformations on qubits. The chapter ends with a convenient representation of qubits as vectors on the 3-dimensional Bloch sphere, and a useful “cheat sheet,” which summarizes useful definitions and identities.

  • D - Qubits

  • Claude Fabre, Sorbonne Université, Paris
  • With contributions by Rodrigo G. Cortiñas
  • Book:
    Quantum Processes and Measurement
    Published online:
    27 July 2023
    Print publication:
    10 August 2023, pp 222-226

  • Summary

    Appendix D: two-level quantum mechanical systems, or qubits. Description in terms of Bloch vector. Poincaré sphere. Expression of purity. Projection noise in an energy measurement. Description of a set of N coherently driven qubits by a collective Bloch vector.