2007/03/20 by Andrei B Klimov, A. B. Klimov, José L Romero +5 · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum chaos and dynamical systems #Quasicrystal Structures and Properties #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/14/014
published as J. Phys. A 40, 3987 (2007) · 10 pages. Some typos in the journal version have been corrected
openalex publication_date 2007/03/20 · arxiv created 2007/06/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We propose a unifying phase-space approach to the construction of mutually unbiased bases for a two-qubit system. It is based on an explicit classification of the geometrical structures compatible with the notion of unbiasedness. These consist of bundles of discrete curves intersecting only at the origin and satisfying certain additional properties. We also consider the feasible transformations between different kinds of curves and show that they correspond to local rotations around the Bloch-sphere principal axes. We suggest how to generalize the method to systems in dimensions that are powers of a prime.