Lippner Gábor: Quantum state transfer on graphs

Előadó: Lippner Gábor

Cím: Quantum state transfer on graphs

Absztrakt: Transmitting quantum information losslessly through a network of particles is an important problem in quantum computing. Mathematically this amounts to studying solutions of the discrete Schrödinger equation d/dt phi = i H phi, where H is typically the adjacency or Laplace matrix of the graph.

It turns out to be difficult to find graphs which support such information transfer. I will talk about recent progress in understanding what happens when one is allowed to use magnetic fields (essentially adding a diagonal matrix to H).