Berlin 2014 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 64: Quantum information: Concepts and methods V

Q 64.2: Vortrag

Freitag, 21. März 2014, 14:15–14:30, Kinosaal

Construction of Cyclic Mutually Unbiased Bases with Different Entanglement Structures — •Ulrich Seyfarth¹, Luis L. Sánchez-Soto^1,2, and Gerd Leuchs^1,3 — ¹Max-Planck-Institut für die Physik des Lichts, Günther-Scharowsky-Straße 1, Bau 24, 91058 Erlangen, Germany — ²Departamento de Óptica, Facultad de Física, Universidad Complutense, 28040 Madrid, Spain — ³Department für Physik, Universität Erlangen-Nürnberg, Staudtstraße 7, Bau 2, 91058 Erlangen, Germany

In the context of quantum state tomography, complete sets of mutually unbiased bases provide an attractive set of measurement bases as they achieve the minimal number of required different measurement setups. For qubit systems mutually unbiased bases can be constructed in a cyclic way which facilitates their implementation. In a recent article it has been shown that the entanglement structures of the bases play an important role concerning error distributions for certain properties of the physical system [1]. In order to find optimal cyclic sets subjected to this ascpect, we will show how an existing construction scheme [2] can be generalized for this purpose [3].

[1] J. Řeháček et al., Phys. Rev. A 88, 052110 (2013)

[2] U. Seyfarth and K. S. Ranade, Phys. Rev. A 84, 042327 (2011)

[3] U. Seyfarth, PhD Thesis (2013)