Welcome to the master of Nanoscale Engineering of lyon Retour à l'université de Lyon

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Quantum Engineering

Quantum Engineering (UE S1-4)

This course deals with the aspects of quantum mechanics that have implications for nanotechnology. the first part of the course discusses the formalism of quantum mechanics with attention to practical nanotechnology. The rest of the course is dedicated to engineering applications of quantum mechanics: nanodevices and quantum information processing.

Outline of the course

  • Fundamentals of quantum mechanics and their applications
    • Quantum states and their superposition
    • Measurements, observables and operators
    • Collapse of wave packets
    • Heisenberg uncertainty relations
    • The Schrödinger equation
    • Application to tunneling microscopy
    • The one-dimensional well and confinement effects in semiconductors
    • Perturbation theory
    • Confined Stark effect
    • Emission and absorption of light

  • Quantum nanodevices
    • Quantum confinement and microelectronics
    • Schrödinger-Poisson coupling (small MOS, HEMT)
    • Transport phenomena in low-dimensional systems
    • Transport phenomena in planar systems (e.g. HEMT)
    • Tunnel effects (MOS, RTD)
    • Nanoelectronic with single electrons
    • Coulomb blockade
    • Single-electron transistors
    • Confinement and optoelectronics
    • Confinement and charge carriers
    • Combined confinement of charge carriers and photons
    • Single-photon sources

  • Quantum information and communication
    • The quantum bit exemplified by the photon
    • Quantum cryptography
    • Entanglement, Bell inequalities and the Aspect experiment
    • Quantum teleportation
    • Examples of simple quantum-computing algorithms
    • Classical information versus quantum information
    • The problem of decoherence


  • three written exams on the three parts of the course

course volume

  • lectures/tutorials:  30 hours
  • practicals: 8 hours
  • ECTS: 5