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Lempel-Ziv Complexity of Photonic Quasicrystals

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Sanchez-Soto,  Luis L.
Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;
Univ Complutense, Fac Fis, Dept Opt, Complutense University of Madrid;

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Citation

Monzon, J. J., Felipe, A., & Sanchez-Soto, L. L. (2017). Lempel-Ziv Complexity of Photonic Quasicrystals. CRYSTALS, 7(7): 183. doi:10.3390/cryst7070183.


Cite as: https://hdl.handle.net/21.11116/0000-0000-804C-A
Abstract
The properties of one-dimensional photonic quasicrystals ultimately rely on their nontrivial long-range order, a hallmark that can be quantified in many ways depending on the specific aspects to be studied. Here, we assess the quasicrystal structural features in terms of the Lempel-Ziv complexity. This is an easily calculable quantity that has proven to be useful for describing patterns in a variety of systems. One feature of great practical relevance is that it provides a reliable measure of how hard it is to create the structure. Using the generalized Fibonacci quasicrystals as our thread, we give analytical fitting formulas for the dependence of the optical response with the complexity.