Equation 57 · Part 3 · The Entry a Relabeling Cannot Write

Symbol B

\Lambda(\rho) = \mathrm{Tr}_B[\rho]

B

What this part means

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

Its job in the formula

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

Full expressionSymbol BArticle meaning

The passage around this formula

Return to the genuine coarse-graining set aside earlier: $\Lambda(\rho)$ = $\mathrm{Tr}_B$ [ $\rho$ ] , $\mathcal H_c$ = $\mathcal H_S$ , $H_c$ = $H_S$ . The dual embeds a system observable back into the full space without touching the bath, $\Lambda^\dagger(H_S)$ = $H_S$ $\otimes$ $I_B$ , so

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

[13] Quantum Thermodynamics ↗

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