Superconducting Quantum Devices SQUIDs, Qubits, and QuantumLimited Amplifiers
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Exam
Introduction
Superconducting quantum devices (SQDs) are electrical circuits utilizing the unique features of superconductivity such as dissipationless direct current flow, ideal diamagnetism, magnetic flux quantization and Cooper pair tunneling. SQDs can nowadays be reliablely fabricated using advanced thinfilm technologies and allow building macroscopic systems such as artificial atoms that show quantummechanical behaviour. The scalability, reproducibility and controllability of these systems facilitate to study complex quantummechanical systems while having the unique possibility to adjust key system parameters such as coupling strengths, operation frequencies or energy scales. SQDs are therefore an outstanding experimental playground for investigating new physics under welldefined experimental boundary conditions. Besides this, SQDs are used as most sensitive devices for measuring or amplifying different physical quantities and are hotly tipped as very promising candidates for the implementation of a quantum computer.
This lecture gives a comprehensive introduction into the physics and applications of superconducting quantum devices. In particular, we discuss the physics of Josephson tunneling junctions which are of similar importance for SQDs than transistors for modern semiconductor circuits. We cover superconducting quantum interference devices (SQUIDs) that are presently the most sensitive wideband devices for measuring various physical quantities such as voltage, current or magnetic field that can be naturally converted into magnetic flux. We discuss different kinds of superconducting quantum bits and give an introduction into quantum computing using SQDs. Finally, we deal with SQDbased quantumlimited amplifiers that are presently the only devices overcoming existing noise limits of conventional semiconductor electronics.
Content
 Introduction to superconductivity (perfect conductivity, ideal diagmagnetism, BCS theory, macroscopic wave function, magnetic flux quantization, Josephson effects)

Josephson tunnel junctions (realization of Josephson junctions, RCSJmodel, mechanical analogon, long and short Josephson junctions, behaviour in external magnetic fields, quantummechanical description of a Josephson junction)

Superconducting quantum interference devices (SQUIDs) (theoretical description of dc and rfSQUIDs, SQUID design, SQUID readout, SQUID applications)

SQUID based lowand highfrequency amplifiers

Microwave properties of superconductors, superconducting resonators

Superconducting Quantum Bits (Cooper pair box, flux qubit, phase qubit, transmon qubit, etc.)

Quantumlimited amplifiers, quantum measurements, quantummechanical description of amplifiers

Quantum computing, Deutsch and Shore algorithm, quantum error correction

Digital superconducting electronics
Prerequisite knowledge
Besides a general understanding of quantum mechanics and solidstate physics as gained by the module PEP5 , there is no prerequisite knowledge. All relevant aspects on superconductivity will be introduced within the lecture. Detailed knowledge about solidstate physics as gained by the advanced lecture on condensed matter physics (CMP) might be helpful.
Lecture organization
 6 credit points (6CPs) are available when passing the exam.
 Each week, a problem set with one to three problems will be published. Solving these problem sets is optional but might be the best way for getting ready for the exam.
 The problem sets are discussed within the plenary tutorial.
 Registration for the plenary tutorial via webpage (mandatory!)
Material
 Klausur_Information_2020_07_21.pdf
 Klausur_Leitsystemplan_2020_07_15.pdf
 Klausur_SQD2020_Datenerhebung_Veranstaltungsteilnehmer.pdf
 Klausur_SQD2020_Datenschutzinformation.pdf
 Klausur_SQD2020_ZutrittsundTeilnahmeregelungen.pdf
 Notes_Chapter_01.pdf
 Notes_Chapter_02.pdf
 Notes_Chapter_03.pdf
 Notes_Chapter_04.pdf
 Notes_Chapter_05.pdf
 Notes_Chapter_06.pdf
 Notes_Chapter_07.pdf
 Notes_Chapter_08.pdf
 Slides_Chapter_00.pdf
 Slides_Chapter_01.pdf
 Slides_Chapter_02.pdf
 Slides_Chapter_04.pdf
 Slides_Chapter_05.pdf
 Slides_Chapter_06.pdf
 Slides_Chapter_07.pdf
Exercise sheets
 01
 02
 03
 04
 05
 06
 07
 08
 09
 10
 11
 12
Practice groups
 Group 1 (Dr. Mathias Wegner)
30 participants
INF 227 (KIP), SR 3.403 / 3.404, Wed 16:15  18:00