Ateneo - UPO

The course provides an introduction to the theoretical ground and
experimental techniques in quantum computation.

M.A. Nielsen, I.L. Chuang, "Quantum computation and quantum
information", CUP (2000);
J. Preskill, Lecture Notes for Phys. 229, Quantum information and
computation, http://theory.caltech.edu/~preskill/ph219/;
Lecture notes
W. Sherer, Mathematics of Quantum Computing: An Introduction, Springer; 1st ed. 2019 edizione (22 novembre 2020)

Acquisition of basic theoretical knowledge and experimental techniques
for quantum computation.

Linear algebra and calculus, introductory physics.

Frontal lessons, take home exercises, practice in quantum programming
with online quantum computers (IBM-Quantum)

Lecture notes will be available on the site of the course

The exam consists of writing a quantum computation project following the implementation
of similar algorithms on the GitHub/qiskit platform. The student chooses the algorithm she/he wants to try
to implement, reproduce it and run it on the free online IMB-quantum platforms or produce a report of the results.

1. Introduction. Complex numbers, Taylor's formula, Euler's formula.
Matrices and their operations.
2. Recap of linear algebra: vector spaces, linear operators, scalar
product. The basic rules of quantum mechanics.
3. Quantum bits, Bloch sphere, multiple qubits, single qubit gates and
multiple qubit gates.
4. Quantum circuits. Entangled states. Quantum algorithms. Notions of
quantum information.
5. Quantum cryptography. Quantum teleportation.
6. Deutsch-Josza algorithm. Quantum Fourier Transform. Shor's algorithm
for factorization. Grover's algorithm
for searching non structured databases.

Understanding of the basic principles of quantum computation, and
ability to apply them in programming quantum computers.