Quantum computing
Summary
This course introduces quantum computing, starting with quantum mechanics and information theory. It covers the quantum circuit model, universal gates, foundational quantum algorithms, noise, quantum error correction, NISQ quantum algorithms, and an overview of recent progress.
Content
Introduction
- Crash course on quantum mechanics
- Quantum measurement and interaction with the environment
- Foundations of classical and quantum information theory
Quantum computing
- The quantum circuit model
- Universal quantum gates
- Quantum advantage and the Deutsch-Jozsa algorithm
Overview of quantum algorithms
- The quantum Fourier transform and Shor's factoring algorithm
- The quantum state amplification and Grover's database search algorithm
- The quantum phase estimation and linear system solving
- Digital quantum simulation and unitary time evolution
Noise in quantum hardware and the digital noise model
Quantum error correction
- The Shor quantum error correction code
- Stabilizer codes
- Fault-tolerant quantum computing and the threshold theorems
Hybrid quantum-classical algorithms for NISQ hardware
- The variational quantum eigensolver
- The quantum approximate optimization algorithm
- The variational quantum dynamics algorithms
Overview of recent progress in quantum computing and quantum algorithms.
Keywords
1. Quantum Mechanics
2. Quantum Computing
3. Quantum Information Theory
4. Quantum Circuit Model
5. Universal Quantum Gates
6. Quantum Algorithms
7. Quantum Error Correction
8. NISQ Hardware
9. Hybrid Algorithms
10. Recent Advancements
Learning Prerequisites
Required courses
Quantum Physics, Linear Algebra
Learning Outcomes
By the end of the course, the student must be able to:
- Apply the quantum circuit model
- Design simple quantum algorithms
- Formalize the quantum computing paradigm
- Assess / Evaluate the computational complexity of quantum algorithms
- Analyze the origin and extent of quantum advantage
- Discuss quantum error correction codes
- Explore the recent progress in the field
- Classify quantum algorithms
Teaching methods
Ex cathedra. Lecture notes available. Exercises and hands-on problems using the Qiskit platform
Assessment methods
Oral exam including the presentation of a project selected and carried out during the last weeks of the term
Resources
Bibliography
M. A. Nielsen & I. L. Chuang, Quantum Computation and Quantum Information (Cambridge, 2011)
John Preskill, Lecture Notes on Quantum Information and Computation
Ressources en bibliothèque
Notes/Handbook
Lecture notes provided
Moodle Link
Dans les plans d'études
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Forme de l'examen: Oral (session d'hiver)
- Matière examinée: Quantum computing
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel