Quantum information for condensed matter physicists

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


Lecture 1.  “Quantum mechanics of the pure system”: Postulates of the quantum mechanics (pure system). Projective measurements. Bloch sphere representation

Lecture 2. “Quantum mechanics of Ensembles”: . Density matrix formalism. Schmidt decomposition . Purification 

Lecture 3. “Quantum channels I”: Trace-preserving completely positive map (TPCP). Chanel-state duality . Kraus representation

Lecture 4. “Quantum channels II”: Stinespring dilation, Reversibility of the channel, Lindbladian

Lecture 5. “Example: Spin-boson model”: Noise spectral function, Spin Echo experiment 

Lecture 6. “Quantum entanglement” : Bell inequality, Quantum teleportation, No cloning theorem  

Lecture 7. “Introduction to the circuits”: Hamiltonian approach to the circuits, Transmition-lines

Lecture 8. “Transmon”: Hamiltonian, Noise susceptibility , Jaynes–Cummings model and rotating-wave approximation

Lecture 11. “How to distinguish two states?”: Trace distance , Fidelity 

Lecture 12. “Entropy and information”: Von Neumann entropy , Measurements and entropy, Subadditivity and Strong subadditivity, Holevo bound

Lecture 13.  “Quantum algorithms I”: Quantum Fourier transform , Phase Estimation

Lecture 14. “Quantum algorithms II”: Factoring as period finding, Quantum Searching



Textbooks