We have ## \rho ## and a hamiltonian K on ## H_s \otimes H_E##.(adsbygoogle = window.adsbygoogle || []).push({});

have we [tex] (K \rho)_S \otimes Id_E = K (\rho _S \otimes Id_E)[/tex] ?

here ## \rho _ s ## and ## (K \rho) _ s ## are the reduced density matrices.

If P maps an operator O to ##O_S \otimes Id_E##, I have to prove that

## PK \rho = KP \rho## for all ##\rho##

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# I A question about reduced density matrices

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