Lecturer: Aleksey Lunkin
Physics seminar room in the main building of Jozef Stefan Institute, on Friday at 14:00, starting from March 21.
The course aims to provide an introduction to the physics behind quantum computations. Prerequisites: Quantum mechanics, linear algebra.
Preliminary program
Origin of the quantum information
Lecture 1 (March 21). “Quantum mechanics of the pure system”: Postulates of the quantum mechanics (pure system). Projective measurements. Bloch sphere representation.
Lecture 2 (March 28). “Quantum mechanics of Ensembles” . Density matrix formalism. Schmidt decomposition . Purification.
Lecture 3 (April 4). “Quantum channels I”: Trace-preserving completely positive map (TPCP). Chanel-state duality . Kraus representation
Lecture 4 (April 11). “Quantum channels II”: Stinespring dilation, Reversibility of the channel, Lindbladian
Lecture 5 (April 18). “Example: Spin-boson model”: Noise spectral function, Spin Echo experiment
Lecture 6 (May 16). “Quantum entanglement” : Bell inequality, Quantum teleportation, No cloning theorem
Qubits and superconductivity
Lecture 7 (May 30). “Introduction to the circuits”: Hamiltonian approach to the circuits, Transmition-lines
Lecture 8 (June 13). “Transmon”: Hamiltonian, Noise susceptibility , Jaynes–Cummings model and rotating-wave approximation
Textbooks
M.A. Nielsen and I.L. Chuang, Quantum computation and quantum information. Cambridge university press, 2010
John's Preskill lecture note. (see also video of lectures)