Mini Course on Quantum information and quantum computation for mathematicians

Quantum computation and quantum information for mathematicians

by Greg Kuberberg

From March 6th till march the 10th 2017

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 physical 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. 

For the benefit of a quantum algebra audience, I will also describe relations between that field to quantum computation.