Quantum Information: Extending the Bloch sphere model for two o more qubits, and relation with Group Theory

Venerdì 14 gennaio 2022 alle ore 15:00, presso il Dipartimento di Matematica e Fisica (Edificio C - Aula 311), si terrà il seminario del prof. Fernando Cuartero (Castilla-La Mancha University - Department of Computer Science) di Logica e Informatica Teorica dal titolo: "Quantum Information: Extending the Bloch sphere model for two o more qubits, and relation with Group Theory".

L'evento potrà essere seguito anche in diretta streaming al seguente Link identifier #identifier__8418-1link.

Abstract
The Bloch Sphere Model can be used to easily visualize the effect of applying quantum gates on a qubit, or the temporal evolution of the state of a two-level system described by a Hamiltonian. It is clear that some geometric pictures give us great help in understanding some quantum information or quantum algorithms problems. Thus, the representation of a unit vector by means of the Bloch Sphere is powerful for a single qubit. Nevertheless, there is no commonly accepted representation for a quantum system for two o more qubits so far, even when we can find some papers reported in the literature on the subject. And this is the objective of the first part of the talk.

The second one is the study of the relationship with the Lie Group representing a quantum state. It is known that groups SU(2) or SO(3) can represent the behaviour of a system of one single qubit, but there is an interesting field of research when the number of qubits is increasing.