Quantum Computation and Information Seminar 

10/07/2019, 10:00 — 11:00 — Room P3.10, Mathematics Building
Joaquin Fernandez Rossier, International Iberian Nanotechnology Laboratory

Quantum Simulation with quantum computers

In this seminar I will do 3 things.

First, I will review why the quantum many-body problem is very important and I will discuss the concept of exponential wall, that makes it intractable with conventional computing.

Second, I will discuss the use of digital quantum computers to tackle the many body problem. Specifically, I will review how the phase estimation algorithm can be used to obtain the eigenvalues of a very large class of Hamiltonians, including those of interest in the many body problem.

Finally, I will show our attempts to carry out actual quantum computations for quantum simulation of three simple model Hamiltonians (Zeeman, Ising, Hubbard) using IBM quantum hardware. I will discuss in some detail our approach for post-processing analysis and the challenges for digital quantum simulation with state of the art hardware.