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Equation 48 · Part 1 · The Entry a Relabeling Cannot Write

Symbol H_f

HfH_f
HfH_f

What this part means

HfH_f 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

HfH_f 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

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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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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