Equation 43 · Part 2 · The Entry a Relabeling Cannot Write

Symbol O_c

\Lambda^\dagger(O_c) = W^\dagger O_c W

O_c

What this part means

$O_c$ is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

$O_c$ is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Full expressionSymbol O_cArticle meaning

The passage around this formula

The dual of conjugation by W is conjugation by $W^\dagger$ : from the defining pairing, $\mathrm{Tr}$ [W $\rho$ $W^\dagger$ $O_c$ ] = $\mathrm{Tr}$ [ $\rho$ $W^\dagger$ $O_c$ W] holds for every $\rho$ , so $\Lambda^\dagger(O_c)$ = $W^\dagger$ $O_c$ W . Substituting,

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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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