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2 results

  • 4 - Evolution

  • 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 44-65

  • Summary

    This chapter presents the theoretical framework that allows us to describe evolutions in the general case using Kraus operators as the main tool. It considers in detail the phenomenon of decoherence and gives examples of such maps. It shows that any evolution can be considered as unitary by going in a larger Hilbert space. The Lindblad equation for the evolution of the density matrix appears as a particular case of evolution in the short memory or Markov approximation. Up-jumps and down-jumps are also described within this framework using cavity damping, spontaneous emission, and the shelving technique as examples.