Quantum walks are dynamic systems with a wide range of applications in quantum computation and simulation analog systems, therefore it is common interest to understand what changes from an isolated process one embedded environment. In the present work, we analyze decoherence three-state uni-dimensional walk. The approaches taken into consideration account for environment effects phase amplitude...

1.1 Duality is a frequently occurring principle for understanding a mathematical structure. The Fourier transformation is a classical example which leads to the Pontryagin duality of topological abelian groups. A more geometric example is the Fourier-Mukai ∗Mathematisches Institut, Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, GERMANY, [email protected], [email protected] s...

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