Advanced Quantum Mechanics
Advanced course in Quantum Mechanics, based on recent theoretical and experimental advances. Evolution in Hilbert space and quantum bits; conditional quantum dynamics; quantum simulations; quantum Fourier transform and quantum search algorithms; ion-trap and NMR experiments; quantum noise and master equations; Hilbert space distances; Von Neumann entropy; Holevo bound; entanglement as a physical resource; quantum cryptography; lab: quantum eraser, interaction free measurement.
To introduce students to advanced and recent concepts and techniques in quantum mechanics
- Quantum Mechanics: Mathematical Framework
- Quantum Mechanical Postulates
- Quantum Measurements
- Quantum Algorithms
- Quantum Computing: Physical Realisations
- Quantum Noise
- Entropy and Information
- Quantum Statistical Mechanics
- Quantum Information Theory
Homework: 20%, Midterm Exams: 2 x 20%, Journal Club: 30%, Lab: 10%
Quantum Computation and Quantum Information, by M.A. Nielsen and I.L. Chuang (2010). Cambridge University Press
Quantum Information and Coherence, by E. Andersson and P. Ohberg (2014) Springer
Modern Quantum Mechanics, by J.J. Sakurai and J.J. Napolitano (2010) Addison-Wesley
Quantum Information Theory, by M.M. Wilde (2013) Cambridge University Press
Solid undergraduate Quantum Mechanics preparation.
Students may wish to take this with A273 Ultracold Quantum Gasses and A218 Condensed Matter Physics.