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Equation 59 · Part 2 · The Entry a Relabeling Cannot Write

Symbol H_S

Hc=HSH_c = H_S
HSH_S

What this part means

HSH_S is an input to the expression that computes the quantity on the left.

Its job in the formula

HSH_S is an input to the expression that computes the quantity on the left.

The passage around this formula

Return to the genuine coarse-graining set aside earlier: Λ(ρ)\Lambda(\rho) = TrB\mathrm{Tr}_B[ρ\rho] , Hc\mathcal H_c = HS\mathcal H_S , HcH_c = HSH_S . The dual embeds a system observable back into the full space without touching the bath, Λ†(HS)\Lambda^\dagger(H_S) = HSH_S ⊗\otimes IBI_B , so

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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