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For questions involving the trace of a square matrix, i.e. the sum of the elements on the main diagonal.

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References on the partial trace

What are the partial traces on $H_1$ of $$D,~~ \nabla D,~~ \Delta D,~~ V_{ij}D,~~ K_i^*K_iD,~~ K_iDK_i^*?$$ $\nabla$, $\Delta$ denote respectively the gradient and Laplacian operators. …