Continuous-time quantum walks
Kirone Mallick
IPhT
Mon, Jun. 07th 2021, 14:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Quantum analogs of classical random walks have been defined in quantum information theory as a useful concept to implement algorithms. Due to interference effects, statistical properties of quantum walks can drastically differ from their classical counterparts, leading to much faster computations.
In this talk, we shall present some exact results on continuous-time quantum walks on a lattice, such as survival properties of quantum particles in the presence of traps, growth of a quantum population in the presence of a source, and quantum return probabilities (Loschmidt echoes).