Frankfurt 2006 – scientific programme

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Q: Quantenoptik und Photonik

Q 15: Quanteninformation II

Q 15.3: Talk

Monday, March 13, 2006, 17:30–17:45, HI

Scattering of Quantum Walkers — •Annette Maria Gattner and Reinhard F. Werner — Institut für Mathematische Physik, TU Braunschweig, www.imaph.tu-bs.de

We consider the one-dimensional Quantum Walk with Hadamard coin as the free time evolution for scattering problems. The analogue of a scattering potential is a local modification of the Quantum Walk dynamics. In analogy to the free particle in presence of a potential we determine transmission and reflection coefficients, bound states and estimate their maximal number.

We then consider two particles on the line, specify what happens when they collide and study the scattering of these two colliding particles.