Stuttgart 2012 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 2: Quanteninformation: Konzepte und Methoden 1
Q 2.3: Vortrag
Montag, 12. März 2012, 11:00–11:15, V7.03
Characteristic Properties of Fibonacci-Based Mutually Unbiased Bases — •Ulrich Seyfarth1, Kedar Ranade2, and Gernot Alber1 — 1Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany — 2Institut für Quantenphysik, Universität Ulm, Albert-Einstein-Allee 11, 89069 Ulm, Germany
Complete sets of mutually unbiased bases (MUBs) offer interesting applications in quantum information processing ranging from quantum cryptography to quantum state tomography.
Different construction schemes provide different perspectives on these bases which are typically also deeply connected to various mathematical research areas. In this talk we discuss characteristic properties resulting from a recently established connection between construction methods for cyclic MUBs and Fibonacci polynomials [1,2]. As a remarkable fact this connection leads to construction methods which do not involve any relations to mathematical properties of finite fields. This work was supported by CASED.