Past lectures
Theoretical Physics 1b: Classical Mechanics (SoSe 24)
Event Number: 148951
The lecture is an introduction to analytical mechanics and covers the following topics: Newton's laws, special relativity, Lagrange formalism, Hamilton's principle, symmetries and conserved quantities, central force movements, rigid bodies, linear oscillations, Hamilton formalism, Hamilton-Jacobi theory, complex systems
Recommended textbooks include:
- John R. Taylor, “Klassische Mechanik”
- Friedhelm Kuypers, “Klassische Mechanik”
- T.M. Helliwell, V. V. Sahakian, “Modern Classical Mechanics”
Recommended textbook for the required mathematics:
- R. Shankar, “Basic Training in Mathematics”
"Applied Quantum Information Science: Quantum algorithms and error correction" (SoSe 2023)
This lecture introduces students to quantum computing algorithms, with a focus on those that can be implemented on current quantum hardware. The lecture also covers quantum error mitigation and quantum error correction. Students acquire a practical knowledge of quantum computer programming using Qiskit.
Brief Syllabus
- Introduction to quantum information with focus on description of noisy quantum hardware
- Density operator, quantum entanglement, Schmidt decomposition, purification, distance measures
- Quantum channels, gate fidelity
- Quantum noise tomography: state tomography and gate tomography
- Algorithms for optimization and Hamiltonian simulation (Trotterization)
- NISQ quantum algorithms: hybrid quantum-classical algorithms, variational quantum algorithms
- Quantum error mitigation
- Quantum error correction: general conditions for QEC, Shor code, CSS codes, stabilizer formalism, fault-tolerancy
- Practical implementation of quantum computing algorithms, tomography, error mitigation and correction using open source software packages and toolkits
Lecture Notes
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6 and 7
- Lecture 8
- Lecture 9
- Lecture 10
- Lecture 11
- Lecture 12
- Lecture 13
- Lecture 14
- Lecture 15
Script (in progress) prepared by N. Jung
Problem Sets
- Problem set 1 (due Mo, 12 June), Solutions PS 1, MMA solutions PS 1
- Problem set 2 (due Wed, 28 June), Solutions PS 2
- Problem set 3 (due Wed, July 12), Solutions PS 3
- Problem set 4 (due Wed, July 19)