Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


After completing this course, the student is able to

  • Model classical one-dimensional conductors using voltage and current fields
  • Apply the theoretical framework of quantum mechanics in electric
    circuits and devices, that is, circuit quantum electrodynamics
  • Design and model superconducting quantum circuits: from resonators to qubits
  • Identity electrical circuits of practical interest that behave quantum mechanically
  • Distinguish between linear and non linear electronic systems and utilize them for the desired functionalities, for example
  • Hypothesize on the behavior of quantum systems

Credits: 5

Schedule: 27.02.2023 - 20.04.2023

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Gheorghe-Sorin Paraoanu, Jan Goetz

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English


  • valid for whole curriculum period:

    The physical foundations and implementation of solid-state quantum electronics has attracted broad interest in the context of the realization of quantum information processing systems. In this course, we address the physics of superconducting quantum circuits and show how such circuits can be implemented based on superconducting thin films and nanostructures. We discuss the application of superconducting quantum circuits in quantum information processing systems and in quantum simulation. The following specific topics will be addressed:

    • Josephson effect and Jospehson junction as a circuit element
    • systematic quantization of a network of lumped-element electric components such as capacitors, inductors, and Josephson junctions
    • classical description of electromagnetics in one-dimension: voltage and current fields
    • quantum mechanics of one-dimensional transmission lines and resonators
    • cavity-qubit systems and the Jaynes Cummings model
    • operation of superconducting qubits: reset, quantum logic, and readout.

Assessment Methods and Criteria
  • valid for whole curriculum period:

    Teaching methods: lectures and exercises 

    Assessment methods: exercises and exam

  • valid for whole curriculum period:

    Lectures: 24 h, exercises: 12 h, exam: 3 h + independent work


Substitutes for Courses


Further Information
  • valid for whole curriculum period:

    Teaching Language : English

    Teaching Period : 2022-2023 Spring IV
    2023-2024 Spring IV

    Enrollment :

    Registration for Courses: Registration for courses will take place on Sisu (