3 papers
math.FA2026
Poset-refined majorization relations
Alexander E. Guterman, Michael M. Wolf
Several classical majorization relations for sums or products of matrices involve a majorizing vector of perfectly aligned eigenvalues or singular values. By relaxing the order of…
quant-ph2026
Ky Fan majorization for binary tensor products
Michael M. Wolf, Yuanheng Zhou
We provide a short proof of a Ky Fan-type majorization relation for the singular values of a sum of binary tensor products of matrices. This generalizes Alhejji's result (arXiv:241…
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…