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Equation 42 · Part 1 · The Entry a Relabeling Cannot Write

Symbol ρ

ρ\rho
ρ\rho

What this part means

ρ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

ρ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

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

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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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