"Quantum probability and quantum computation, for mathematicians" (Greg Kuperberg, UC Davis)

15.04.2019 10:15 – 12:00

This mini-course will be an accelerated introduction to quantum information and quantum computation for the benefit of mathematicians. The foundation of these topics, and quantum mechanics as well, is also known as quantum probability or non-commutative probability. Although it is entirely rigorous (in contrast to quantum field theory), quantum probability is difficult to understand because its interpretation is difficult to believe. The intellectual value of quantum probability is further increased by quantum computation, which is also rigorous and also difficult to believe. I will discuss various basics including the definition of qubits and qudits, pure and mixed states, violation of Bell's inequalities, standard quantum algorithms, and quantum error correction. I will also mention relations between quantum algebra and quantum computation. The technical mathematics will be at a comfortable graduate level, but the material is still quite subtle in ways that I consider very interesting.

Lieu

Room 623, Mini-course
Dates : April 8, 15 & 29 + May 6, 13 & 27

Organisé par

Section de mathématiques

Intervenants

Greg Kuperberg, UC Davis

entrée libre

Classement

Catégorie: Cours public