CS-308 / 4 credits

Teacher: Macris Nicolas

Language: English


Summary

The course introduces teh paradigm of quantum computation in an axiomatic way. We introduce the notion of quantum bit, gates, circuits and we treat the most important quantum algorithms. We also touch upon error correcting codes. This course is independent of COM-309.

Content

Keywords

Quantum computation, quantum circuits, universal gates, quantum Fourier transform, Simon algorithm, Shor algorithm, Grover algorithm, entanglement, quantum error correction.

Learning Prerequisites

Required courses

Linear algebra course, basic probability course.

Important concepts to start the course

Matrices, unitary matrices, eigenvectors, eigenvalues, inner product, algebra of complex numbers

 

Learning Outcomes

By the end of the course, the student must be able to:

  • Explain teh concept of quantum algorithm on the circuit model
  • Describe universal gates
  • Describe basic quantum algorithms
  • Compute the evolution of a state through a circuit
  • Apply the measurement postulate
  • Manipulate algebraic expressions involving the Dirac notation
  • Carry out implementaions on public NISQ devices
  • Give an example of an error correcting code

Teaching methods

Ex-Cathedra. Exercises. Use of IBM Q NISQ devices.

Expected student activities

Participation in class, exercise sessions, use of IBM Q NISQ devices

 

Assessment methods

mini project on IBM Q experience, graded homeworks, written final exam

Supervision

Office hours No
Assistants Yes
Forum Yes
Others Assistants answer questions during exercise sessions

Resources

Bibliography

N. David Mermin: Quantum Computer Science, an introduction. Cambridge University Press
Nielsen and Chuang: Quantum Computation and Information. Cambridge University Press

Ressources en bibliothèque

Notes/Handbook

yes

Websites

In the programs

  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Quantum computation
  • Lecture: 3 Hour(s) per week x 14 weeks
  • Exercises: 1 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Quantum computation
  • Lecture: 3 Hour(s) per week x 14 weeks
  • Exercises: 1 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Quantum computation
  • Lecture: 3 Hour(s) per week x 14 weeks
  • Exercises: 1 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Quantum computation
  • Lecture: 3 Hour(s) per week x 14 weeks
  • Exercises: 1 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9   MAB111 
9-10    
10-11    
11-12   MAB111 
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Thursday, 8h - 11h: Lecture MAB111

Thursday, 11h - 12h: Exercise, TP MAB111