학술
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Ky Fan majorization for binary tensor products
arXiv Math
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이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.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.
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