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. “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
Qubits and superconductivity
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
Basics of quantum information and quantum algorithms
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
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)