Hours:
16 hours (4 credits)
Room:
From remote by using Microsoft Teams. The link will be sent in due time to all students who registered to the seminar.
To register to the course, click here
Short Abstract:
The course has the purpose of providing an understanding of the foundations of quantum technologies, with reference, in particular, to quantum computing and quantum communication. Focus will also be on the nature of the problems for which they can provide a significant advantage in comparison to their classical counterparts. After reviewing a few basic concepts in quantum mechanics, we will introduce the qubit and the basic single- and two-qubit operators. We will then discuss the no-cloning theorem and quantum teleportation as well as the general implementation of a quantum algorithm with a quantum network. Dense coding, the Deutsch algorithm, the Shor algorithm and its application to number factorization will be covered in detail. An example of a basic algorithm for quantum cryptography will also be presented. We will conclude with an overview of the status of the art form the experimental point of view and of the most promising implementations for a quantum computer.
Course Contents in brief:
- States in quantum mechanics, superposition of states, entanglement, Bell’s theorem, Dirac notation
- Concept of a universal quantum computer vs. a universal classical computer
- Qubits, single- and two-qubit operators (identity, NOT, Y, Z, Hadamard, generic rotation, controlled NOT)
- No-cloning theorem, teleportation, dense coding scheme
- Oracles and Deutsch algorithm
- Shor algorithm and large number factorization
- Quantum cryptography
- Silicon-based quantum computer
- Quantum computer based on superconducting qubits
Schedule:
- Monday, March 15th, 13:20-16:20
- Tuesday, March 16th, 8:30-11:30
- Wednesday, March 17th, 14:30-17:30
- Thursday, March 18th, 14:30-17:30
- Friday, March 19th, 9:30-13:30
