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Q: Fachverband Quantenoptik und Photonik

Q 40: Poster: Quantum Optics and Photonics III

Q 40.2: Poster

Dienstag, 6. März 2018, 16:15–18:15, Zelt West

Shannon entropy of quantum random walks — •Shahram Panahiyan¹ and Stephan Fritzsche^1,2 — ¹Helmholtz-Institut Jena, Germany — ²Friedrich-Schiller-Universität Jena, Germany

Recently, there has been a great interest in quantum random walk which is the counter part of the classical random walk. This interest arises from the particular properties of these walks, such as their spread which may arise quadratically faster than classical random walks, their nonclassical probability distribution. These properties make the quantum random walk promising for quantum computing and engineering quantum algorithms [1]. On the other hand, Shannon entropy has been introduced as a tool for determining the amount of uncertainty in the state of a physical system. In fact, (Shannon) entropy is a natural measure of uncertainty, perhaps even more appropriate than the standard deviation [2]. It naturally captures the amount of information about a measurement outcome. Here, we investigate the Shannon entropy of quantum random walks. Our aim is to understand the evolution of entropy as a function of: coin, initial state and steps.
: S. E. Venegas-Andraca, Quant. Info. Process. 11, 1015 (2012).
: P. J. Coles et al., Rev. Mod. Phys. 89, 015002 (2017).