| instructor | nicolas macris |
| office | inr 134 |
| phone | +4121 6938114 |
| nicolas.macris@epfl.ch | |
| lectures | monday 10h15-12h00, room BC 02 |
No prerequisites in quantum mechanics and/or information theory are needed.
A draft of course notes will be updated weekly here draftDec14.pdf.
This is a 4 credit course. Exam form is oral.
The support of information is material. Today one is able to manipulate matter at the nanoscale were quantum behavior becomes important. It is possible that
ultimately information processing will have to take into account the laws of quantum physics. This course introduces the theoretical concepts and methods that have been developed in the last 25 years to take advantage of guenuine quantum resources. We will see how the concepts of bit, entropy, and Shannon's theory are extended to the quantum domain. We will emphasize the role of entanglement which is a distinctly quantum feature. We will also see how useful quantum parallelism can be in the theory of quantum computation.
A subset of the following topics will be treated in class.
| Part 1: QM, Qbits, Cryptography | |
|---|---|
| Experiments with light, analyzers and polarizers | |
| Mathematical formalism of quantum mechanics | |
| Quantum key distribution protocols | |
| Quantum entanglement | |
| Part 2: Quantum Information Theory | |
| Density matrix formalism | |
| Quantum entropy | |
| Accessible information | |
| Source coding theorem | |
| Quantum channel models | |
| Channel capacity theorems | |
| Part 3: Computation and Error Correction | |
| Models of computation and Deutsch-Josza problem | |
| Hidden subgroup problem | |
| Period finding, Quantum Fourier Transform and Shor algorithm | |
| Search algorithm (Grover) | |
| Adiabatic quantum computation | |
| Quantum error correction | |