# FI:IA082 Quantum information processing - Course Information

## IA082 Physical concepts of quantum information processing

**Faculty of Informatics**

Spring 2024

**Extent and Intensity**- 2/0/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Taught in person. **Teacher(s)**- RNDr. Daniel Reitzner, PhD. (lecturer)

doc. Mgr. Mário Ziman, Ph.D. (lecturer) **Guaranteed by**- doc. Mgr. Mário Ziman, Ph.D.

Department of Computer Systems and Communications – Faculty of Informatics

Supplier department: Department of Computer Systems and Communications – Faculty of Informatics **Timetable**- Wed 18:00–19:50 B411
**Prerequisites**(in Czech)-
**PV275**Intro to Quantum Programming || SOUHLAS **Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- there are 54 fields of study the course is directly associated with, display
**Course objectives**- Introduction to quantum physics and quantum information theory.
**Learning outcomes**- After this course students should:

understand basic principles of quantum physics;

apply the learned concepts in the subsequent study of quantum information theory;

self-study quantum theory books. **Syllabus**- 1. Security and computation with photons - photon's polarization and polarizers, Vernam cipher, quantum key "distribution" protocol B92, polarizing beam-splitter, √NOT logic gate,
- 2. Quantum interference and superposition - Mach-Zender interferometer, concept of quantum state, quantum probabilities and amplitudes, Hilbert space and operators,
- 3. Measuring quantum properties - description of quantum measurement devices (POVM), tomography of polarization, uncertainty relations, no information without disturbance
- 4. Hydrogen atom - emission spectrum, Bohr's model, position and momentum, quantum solution, Zeeman effects, spin of electron,
- 5. Schrodinger equation - time and evolution, unitary operators, energy conservation and system's Hamiltonian,
- 6. Quantum bit - two-level quantum system (polarization and spin-1/2), Stern-Gerlach experiments, Bloch sphere, orthogonality and information, no-cloning theorem, quantum NOT gate, qubit implementations
- 7. Quantum sources and randomness - mixed states, quantum commpression, von Neumann entropy, capacity of noiseless quantum channel, randomness sources, min-entropy
- 8. Einstein-Podolski-Rosen paradox - composite quantum systems, tensor product, quantum steering, EPR paradox, local hidden variable model, CHSH inequalities, experiments and loopholes
- 9. Quantum one-time pad protocols - one-time pad, super-dense coding and teleportation
- 10. Quantum entanglement - correlated and separable states, definition of entanglement, entanglement distilation,
- 11. Quantum cryptography - QKD protocols BB84, E91, no-quantum bit commitment theorem, quantum secret sharing protocols,
- 12. Elementary particles - fermions and bosons and tensor products, standard model, Higg's boson

**Literature**- ZIMAN, Mário.
*Vybrané kapitoly z kvantové mechaniky (Selected topics from quantum mechanics)*. 2004. URL info

- ZIMAN, Mário.
**Teaching methods**- Lectures
**Assessment methods**- Homeworks and written exam, usage of materials and notes is allowed, optional oral exam
**Language of instruction**- Czech
**Further Comments**- Study Materials

The course is taught annually. **Teacher's information**- http://quantum.physics.sk/rcqi/index.php?x=fimu_qm

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/fi/spring2024/IA082