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Equation 47 · The Entry a Relabeling Cannot Write

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WW

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the dual of conjugation by. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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WW

Symbol W

the dual of conjugation by.

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What the article says around this equation

using only W†W^\dagger W = I . So DΛD_\Lambda = HfH_f - HfH_f = 0 , identically, as an operator, for every unitary W and every HfH_f . This is not a limit, an approximation, or a property of some special state; it is an algebraic identity that holds before any state is chosen at all.

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