Quantum information theory
Summary
After recapping the basics of quantum theory from an information theoretic perspective, we will cover more advanced topics in quantum information theory. This includes introducing measures of quantum information, and developing a more advanced understanding quantum states, channels and measurements.
Content
Introduction
- Qubits and the block sphere
- Unitary quantum dynamics
- Quantum measurements
Mixed states and quantum channels
- Schmidt decomposition and purifying quantum states
- Definition and examples of quantum channels
- Stinespring Dilation Theorem
- State and channel tomography
Quantum Measurements
- POVM Measurements
- Naimark's Dilation Theorem
- The measurement problem
- Distinguishing quantum states
- Shot noise
Measures of information
- Shannon entropy
- Shannon's noiseless coding theorem
- Von Neumann entropy
- Schumacher's quantum noiseless channel coding theorem
Entanglement Theory
- Resource theory of entanglement
- Entanglement entropy
- Witnessing entanglement
- The problem of mixed state entanglement
Learning Outcomes
By the end of the course, the student must be able to:
- Demonstrate an advanced understanding of quantum information theory.
Teaching methods
Lectures and weekly exercises.
Assessment methods
60% Written exam, 40% assessed homework tasks.
Dans les plans d'études
- Semestre: Printemps
- Forme de l'examen: Ecrit (session d'été)
- Matière examinée: Quantum information theory
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Semestre: Printemps
- Forme de l'examen: Ecrit (session d'été)
- Matière examinée: Quantum information theory
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Semestre: Printemps
- Forme de l'examen: Ecrit (session d'été)
- Matière examinée: Quantum information theory
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Semestre: Printemps
- Forme de l'examen: Ecrit (session d'été)
- Matière examinée: Quantum information theory
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Semestre: Printemps
- Forme de l'examen: Ecrit (session d'été)
- Matière examinée: Quantum information theory
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
Semaine de référence
| Lu | Ma | Me | Je | Ve | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Cours
Exercice, TP
Projet, autre