Phelma Formation 2022

Open Quantum Systems UGA - WPMNOQS2

  • Volumes horaires

    • CM 12.0
    • Projet 0
    • TD 12.0
    • Stage 0
    • TP 0
    • DS 0

    Crédits ECTS

    Crédits ECTS 3.0

Objectif(s)

These lectures will provide advanced theoretical tools to understand and model quantum open systems (quantum systems coupled to a dissipative environment), with constant opening on foundational questions of quantum mechanics, e.g. the famous “measurement problem”. The last series of lectures will focus on the entropic and energetic aspects of quantum information.

Contact Lionel BASTARD

Contenu(s)

Chapter 1: Quantum measurement

  • Reminders on quantum entanglement, the Von Neumann model for quantum measurement, Schrödinger cat states, decoherence.
  • Which path experiments, complementarity, weak and strong measurements, quantum non- demolition measurements, POVM (positive-operator valued measure).
  • Interpretations of quantum theory: where are we?
  • Beyond Heisenberg limit: elements of quantum metrology.

Chapter 2: Quantum open systems:

  • Quantum processes: Completely Positive Trace Preserving Maps, Kraus operators, Chi matrix.
  • Dynamic of open quantum systems: Lindblad equation, physical examples of quantum noises and decoherence processes.
  • Quantum trajectories measurements (photo-counting, homodyne vs heterodyne measurements).
  • Modeling noise: input-output theory, repeated interactions approaches.

Chapter 3: Advanced quantum information

  • Measuring (quantum) information and entanglement: Shannon entropy, von Neumann entropy and their operational meaning (data compression theorems). Entropy of entanglement, entanglement witnesses.
  • Quantum information thermodynamics: logical/thermodynamical irreversibility, Maxwell’s demon, Landauer’s erasure bound, work value of entanglement and coherence, energetic advantage of quantum computing.


Prérequis

Quantum Mechanics M1
Statistical physics M1

Contrôle des connaissances

Semestre 9 - L'examen existe uniquement en anglais 



Informations complémentaires

Semestre 9 - Le cours est donné uniquement en anglais EN

Cursus ingénieur->Double-Diplômes Ingénieur/Master->Semestre 9

Bibliographie

Exploring the quantum (Haroche & Raimond, Cambridge University Press)
Quantum measurement and control (Wiseman & Milburn, Cambridge University Press)
Quantum computation (Online lectures by John Preskill)