Génie Quantique

Physics for Quantum Engineering

Description: The Physics of Quantum Engineering course provides students with a deep understanding of open quantum systems and the effects of dissipation and noise on quantum architectures. Building on the density-matrix formalism, the course introduces the principles required to describe mixed quantum states and the realistic dynamics of quantum devices. Students study the physical mechanisms leading to decoherence and energy relaxation, which are central limitations in practical quantum technologies, and learn how these effects impact the operation of quantum circuits and communication systems.

A key component of the course is the Lindblad master equation, presented as a general framework for modeling dissipative and noisy quantum dynamics. Students gain experience applying this formalism to analyze quantum systems under realistic conditions, including multipartite setups and coupled qubit architectures. The course also situates these concepts within a broader scientific and technological context, emphasizing contemporary developments in quantum computation, quantum communication, and emerging quantum devices. By the end of the course, students acquire both theoretical insight and practical skills to model, analyze, and interpret the dynamics of quantum systems affected by noise and dissipation, preparing them for advanced studies or research in quantum engineering.

Bibliography:

  • Ref1 : C. Gardiner and P. Zoller, Quantum noise (Springer-Verlag) (2004)
  • Ref2 : M. Joffre, Physique Quantique Avancée. Cours de lEcole Polytechnique (2023)
  • Ref3 : M.A. Nielsen I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press (2010)

Learning outcomes: AA1: Manipulation and calculation using the density-matrix formalism for pure and mixed quantum states – AA2: Modeling and analysis of open quantum systems, including dissipative dynamics and the effects of noise on quantum architectures – AA3: Knowledge of current technologies used in quantum computers (NISQ devices) and understanding their limitations due to dissipation and noise – AA4: Application of the Lindblad master equation to simulate and analyze realistic quantum dynamics and elementary quantum circuits under dissipation – AA5: Ability to model, simulate, and interpret the performance of quantum systems, including entanglement and entropy in multipartite setups, taking into account dissipation and noise effects.

Evaluation methods: Written Exam and Continuous Evaluation

Evaluated skills:

  • Physical Modeling

Course supervisor:

  • Thomas Tuloup
  • Corentin Bertrand

Geode ID: SPM-PHY-016