Lecture & Exercise
Quantum computing is among the most exciting applications of quantum mechanics. Quantum algorithms can solve computational problems efficiently that have a prohibitive runtime on traditional computers. Such problems include, for instance, factoring of integer numbers or energy estimation problems from quantum chemistry and material science.
This course provides an introduction to the topic. An emphasize will be put on conceptual and mathematical aspects.
Outline:
Information theoretic introduction to quantum mechanics
The quantum teleportation protocol
Basic algorithms
The quantum Fourier transform and Shor’s algorithm for integer factoring
The unitary circuit model of quantum computation (qubits, quantum gates and readout) and the complexity class BQP
Goal:
- Rigorous understanding of how quantum algorithms work and the ability to analyze them
- Connection of concepts in quantum mechanics and computer science
- Basic knowledge required to start programming a quantum computerAbility to solve exercises related to quantum algorithms and to present the solutions
Pre-requisites:
Desirable: basic knowledge in computability and complexity theory
Required: very good knowledge in linear algebra (incl. complex numbers), good mathematical understanding
Learning organisation:
Active participtation in the problem sheets.
Performance accreditation:
Graded written or oral exam at the end of the lecture. The details of the examination and the admission requirements are announced by the lecturer at the beginning of the module.
Miscellaneous:
- Course specific lecture notes will be provided
- Nielsen and Chuang, Quantum Computation and Quantum Information
- Sevag Gharibian’s lecture notes
Rücker, J. (2024). Optimal Scheduling of Flexible Components in Residential Neighborhoods Using Detailed Linear Programming.
2023
Nitz, A. (2023). Die Wärmepumpen im virtuellen Kraftwerk - Untersuchung von Wärmepumpen unter Berücksichtigung unterschiedlicher Funktionsprotokolle innerhalb eines virtuellen Kraftwerks.
2022
Kaya, E. (2022). Simulation des Lebenszyklus‘ einer Lithium Ion Zelle in den stationären EP and instationären EV Anwendungsfällen.
Pauelsen, F.-T. (2022). Implementierung eines Maximum-Power-Point-Tracker für Photovoltaikanlagen in Modelica.
Rücker, J. (2022). Dynamische Untersuchung des Verhaltens elektrischer Komponenten auf Quartiersebene hinsichtlich der Spannungshaltung.
Rüffert, J. (2022). Charakterisierung von Zellen in Verteilnetzen anhand von Bewertungskriterien und die Auswirkungen von punktuell und zeitlich begrenzt auftretenden Lasten.
2021
Helmrich von Elgott, L. (2021). Optimierter Einsatz dezentraler Flexibilität zur Betriebsführung intelligenter sektorgekoppelter Verteilnetze.
Zwinzscher, S. (2021). Entwicklung einer Methodik zur dynamischen Berechnung der Flexibilität eines auf Power-to-Heat basierenden Nahwärmenetzes.