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Open Quantum Systems Decoherence
Commutator Relations Reveal Solvable Structures in Unambiguous State Discrimination
arXiv
Authors: M. Kleinmann, H. Kampermann, Ph. Raynal, D. Bruss
Year
2007
Paper ID
50202
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
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.
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- 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...
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