Commutator Relations Reveal Solvable Structures in Unambiguous State Discrimination
Quantum Physics
2007-08-22 v2
Abstract
We present a criterion, based on three commutator relations, that allows to decide whether two self-adjoint matrices with non-overlapping support are simultaneously unitarily similar to quasidiagonal matrices, i.e., whether they can be simultaneously brought into a diagonal structure with 2x2-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.
Cite
@article{arxiv.0705.3391,
title = {Commutator Relations Reveal Solvable Structures in Unambiguous State Discrimination},
author = {M. Kleinmann and H. Kampermann and Ph. Raynal and D. Bruss},
journal= {arXiv preprint arXiv:0705.3391},
year = {2007}
}