Erlangen 2018 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 46: Quantum Information (Concepts and Methods) IV
Q 46.5: Vortrag
Mittwoch, 7. März 2018, 15:00–15:15, K 1.019
Quantum random walks with step dependent coins — •Shahram Panahiyan1 and Stephan Fritzsche1,2 — 1Helmholtz-Institut Jena, Germany — 2Friedrich-Schiller-Universität Jena, Germany
A quantum random walk is a promising concept for simulating other quantum systems, developing quantum algorithms and exploring topological phases [1]. For these purposes, controllability over walker’s probability density distribution is desired. Here, we study a particular type of quantum random walk which has a step dependent coin. It will be shown that with this setup, the walker could have diverse probability density distribution ranging from a complete localization to ballistic spread.
We have also investigated the Shannon entropy of this walk. The Shannon entropy is a tool for measuring the amount of uncertainty that is present in the state of a physical system [2]. This quantity could be used to determine the modification in amount of information of a physical system that goes through a process. It will be shown and explained how a rather irregular behavior arises for entropy of walks with a step dependent coin.
: T. Kitagawa et al., Phys. Rev. A 82, 033429 (2010).
: M. A. Nielsen et al., Quantum computation and quantum information (Cambridge University Press, 2010).