Quantum Computing and Quantum Information
by Aram Harrow (MIT)
Web:Â https://qcqi-class.gitlab.io/
   Lecture Plan:Â
8 April, 2026: Introduction, quantum states, quantum channels,Â
distance measures, purifications, bit commitment.
    9 April, 2026: Quantum error correction, toric code, and FTQC.
    10 April, 2026: Entropy, relative entropy, hypothesis testing andÂ
channel capacity.
    13 April, 2026: Algorithms, quantum walks, quantum singular valueÂ
transform, Hamiltonian simulation.
    15 April, 2026: Quantum complexity, QMA and PostBQP.
    16 April, 2026: Many-body applications, CMI, recovery maps and AGSPs.
Analytical Methods in Tensor Networks
by José Garre Rubio (IFT)
Date: October 2026
In this course we will introduce the main families of tensor networks used to describe gapped systems and their symmetries in one and two-dimensional lattices.
We will focus on the analytical questions that can be solved using the framework of tensor networks. This framework offers a powerful approach to encode global properties at the local level of their constituents: the local tensors. This local encoding has been key to the classification of gapped quantum phases in one-dimensional systems, both with and without symmetries, as well as in two-dimensional systems exhibiting topological order.