## Solving time dependent Schrödinger equation by quantum walk

Hideo Sekino

Department of Computer Science and Engineering, Toyohashi University of Technology, Toyohashi, Japon.

Lundi 10 Juin 2013, 14^{h}00

bibliothèque LCT, tour 12 - 13, 4e étage

Three Dimensional Time-Dependent Schrödinger Equation (TDSE) with an
initial Gaussian distribution is solved using a discrete time/space
Quantum Walk (QW). Coin space (corresponding to the internal degree of
freedom) in the three dimensional Hilbert space is generated by a tensor
product of local unitary transformation corresponding to each Cartesian
direction. The result obtained is compared with the one by traditional
finite difference (FD) method. We find no numerically significant
difference between them.