Ky Fan majorization for binary tensor products

Michael M. Wolf; Yuanheng Zhou

Ky Fan majorization for binary tensor products

量子物理 2026-07-29 v1 泛函分析

作者: Michael M. Wolf , Yuanheng Zhou

摘要

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:2410.18254) from two summands to arbitrary sums and from positive matrices to arbitrary matrices. As an application, we show a majorization relation between the singular values of a completely positive map and those of its Kraus operators.

引用

@article{arxiv.2607.27116,
  title  = {Ky Fan majorization for binary tensor products},
  author = {Michael M. Wolf and Yuanheng Zhou},
  journal= {arXiv preprint arXiv:2607.27116},
  year   = {2026}
}

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