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A majorization relation for a sum of two tensor products of positive semidefinite operators
Mohammad A. Alhejji, Cole Kelson-Packer·July 8, 2026
math.RAMathematical Physicsmath.COQuantum Physics
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Abstract
We use linear programming to prove a separable version of Ky Fan's majorization relation for a sum of two operators that are each a tensor product of $n$ positive semidefinite operators. We give an example showing that such a relation does not hold in general for sums of three or more tensor products of three or more positive semidefinite operators.