Ky Fan majorization for binary tensor products
Abstract
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. --- Source: arXiv:2607.27116v1 - http://arxiv.org/abs/2607.27116v1 PDF: https://arx...
Description / Details
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.
Source: arXiv:2607.27116v1 - http://arxiv.org/abs/2607.27116v1 PDF: https://arxiv.org/pdf/2607.27116v1 Original Link: http://arxiv.org/abs/2607.27116v1
Please sign in to join the discussion.
No comments yet. Be the first to share your thoughts!
Jul 30, 2026
Quantum Computing
Quantum Physics
0