Laboratoire de Physique Théorique

de la Matière Condensée

Continuous-time Quantum Walks

Kirone Mallick (IPhT CEA Saclay)

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 discuss  various  statistical properties of continuous-time quantum walks on a  lattice, such as: survival properties of quantum  particles in the presence of traps (i.e. a quantum generalization of the Donsker-Varadhan stretched exponential law), the growth of a quantum  population in the presence of a  source, quantum return probabilities and  Loschmidt echoes.