← All parts of this equation

Equation 41 · Part 3 · The Entry a Relabeling Cannot Write

Symbol W^dagger

Tr[WρW†Oc]=Tr[ρW†OcW]\mathrm{Tr}[W\rho W^\dagger O_c] = \mathrm{Tr}[\rho W^\dagger O_c W]
W†W^\dagger

What this part means

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

Its job in the formula

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

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,

Read this part in the article →

Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

Open the illustrated exponents: repeated multiplication and powers guide →

See this notation across published equations →

The article lists its research sources here.