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Published equation contexts

Λ†(Oc)=W†OcW\Lambda^\dagger(O_c) = W^\dagger O_c W

Why this formula appears here

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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Λ†\Lambda^\dagger

Symbol Lambda^dagger

Lambdada^dagger is part of the quantity the equation computes from the expression on the right.

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OcO_c

Symbol O_c

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

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Published contexts (1)

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Λ†(Oc)=W†OcW\Lambda^\dagger(O_c) = W^\dagger O_c W

Equation 43 · Evolutionary Physics

The Entry a Relabeling Cannot Write

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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,

Meanings in this article

  • WW: the dual of conjugation by.
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