majorization 2tensor products 2completely positive maps 1LU approximation 1matrix analysis 1matrix inequalities 1partial order 1quantum information 1singular values 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.FA2026
Poset-refined majorization relations
Alexander E. Guterman, Michael M. Wolf
The paper refines classical matrix majorization relations by allowing a partial order alignment of eigenvalues or singular values, using LU‑approximation, and applies these refined…
quant-ph2026
Ky Fan majorization for binary tensor products
Michael M. Wolf, Yuanheng Zhou
The paper proves a Ky Fan‑type majorization inequality for the singular values of sums of binary tensor products of matrices, extending previous results to any number of summands a…
quant-ph2026
The Ruskai-Audenaert conjecture & equipartitions of positive operators
Niranjan Kumar, Michael M. Wolf
Several open problems in quantum information theory can be formulated as equipartition problems for positive operators, asking for a decomposition into bounded-rank positive parts…