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/;

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 Q-experience)

.Lecture notes will be available on the site of the course.

Students with physical disabilities, Learning Disabilities or Special Education Needs can request specific services and tools via the "Staff Sviluppo e Coordinamento Carriere e Servizi alle Studentesse e agli Studenti", consulting the University webpage: https://www.uniupo.it/en/services/services-students-physical-or-learning-disabilities. Students with disabilities, learning disabilities or special education needs, once they have contacted the University Staff, can refer to the tutor in charge of the course to define the examination modalities, concerning academic aspects.

Oral exam. Exercises in the classroom.

1. Introduction. Quantum bits, Bloch sphere, multiple qubits, single qubit gates and multiple qubit gates. Quantum circuits. Bell states. Quantum algorithms. Notions of quantum information.
2. The basic rules of Quantum Mechanics. Linear algebra. Density operator. Composite systems and partial trace. EPR states and entanglement. Bell's inequalities.
3. Public key cryptography, RSA protocol, little Fermat's theorem. Quantum cryptography. Quantum teleportation.
4. Quantum circuits. Universal set of quantum gates.
5. Deutsc-Josza algorithm, quantum Fourier transform. Shor's algorithm for factorization. Grover algorithm for searching non structured databases.

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