Auteur
Christophe Couteau
Production
Nicolas Thorel, Lucie Lemaître
Durée
3 h
Niveau
L3
Description
In this 1st chapter we will start with the general context of the course.
Acquis d'apprentissage
- Discovering why should we care and how is it so different from what we know
- Having a first approach to the history of QIT and computing
- Understanding encoding to bits
- Apprehending the transistors as building blocks
Réutilisation
Auteur
Christophe Couteau
Production
Nicolas Thorel, Lucie Lemaître
Durée
3 h
Niveau
L3
Description
In this chapter, we will introduce the notion of quantum bit, entanglement, multiqubits and mathematical tools needed.
Acquis d'apprentissage
- Introduce the bra-ket notation
- Define the notion of qubit and its differences with a classical bit
- Understand the example of a photon qubit
- Extend single qubits to multiple qubits and the notion of entanglement between several qubits
- Comprehend the mathematical description of physical qubits
Réutilisation
Auteur
Christophe Couteau
Production
Nicolas Thorel, Lucie Lemaître
Durée
3 h
Niveau
L3
Description
In this chapter we will introduce the notion of operators as the mathematical description of physical measurements and apparatus.
Acquis d'apprentissage
- Understand operators in quantum mechanics through examples/li>
- Describe measurements and the collapse of the wavefunction
- Develop the notion of mean operators and mean values of a measurement
- Comprehend the dual space, the bra-ket notation and the column and line vector representation
Réutilisation
Auteur
Christophe Couteau
Production
Nicolas Thorel, Lucie Lemaître
Durée
3 h
Niveau
L3
Description
In this chapter, we will describe single and multiple qubit quantum gates and give examples of quantum circuits.
Acquis d'apprentissage
- Define single qubit quantum gates
- Define multiple qubit quantum gates
- Define and represent quantum circuits
- Understand how to go from mathematical description to circuits through examples such as quantum teleportation
Réutilisation
Auteur
Christophe Couteau
Production
Nicolas Thorel, Lucie Lemaître
Durée
3 h
Niveau
L3
Description
In this chapter, we will see examples of quantum algorithms and how they compare to classical ones as well as the differences between classical and quantum error correction.
Acquis d'apprentissage
- Describe the Di Vicenzo criteria for building a quantum computer
- Compare classical and quantum algorithms
- Describe the example of the Deustch's algorithm
- Introduce the idea of quantum error correction as an extension to classical ones
Réutilisation
Auteur
Christophe Couteau
Production
Nicolas Thorel, Lucie Lemaître
Durée
3 h
Niveau
L3
Description
In this chapter we will describe some of the physical implementations to realise qubits.
Acquis d'apprentissage
- Focus on photon qubits, how to realise them, measure them and to create entanglement with photons
- Introduce the trapped ion system as qubits
- Introduce the electron spin system as qubits
- Introduce the superconducting circuit system as qubits
Réutilisation
