2007/05/31 by M. Kleinmann, Matthias Kleinmann, Hermann Kampermann +5 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/36/f04
published as J. Phys. A: Math. Theor. 40 (2007) F871-F878 · 5 pages, discussion of related work added
arxiv created 2007/05/31 · openalex publication_date 2007/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We present a criterion, based on three commutator relations, that allows us to decide whether two self-adjoint matrices with non-overlapping support are simultaneously unitarily similar to quasi-diagonal matrices, i.e., whether they can be simultaneously brought into a diagonal structure with (2 × 2)-dimensional blocks. Application of this criterion to unambiguous state discrimination provides a systematic test whether the given problem is reducible to a solvable structure. As an example, we discuss unambiguous state comparison.