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Equation 41 · Part 1 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol M_F

MF(d(hg^))=UF(h)MF(dg^)UF(h)†.M_F(d(h\hat g))= U_F(h)M_F(d\hat g)U_F(h)^\dagger.
MFM_F

What this part means

MFM_F is part of the quantity the equation computes from the expression on the right.

Its job in the formula

MFM_F is part of the quantity the equation computes from the expression on the right.

The passage around this formula

An estimator is generated by a positive-operator-valued measure MF(dg^)M_F(d\hat g) on the fragment. Covariance requires that rotating the encoded state by h rotates the distribution of estimates by the same group action. In schematic form, MF(d(hg^))=UF(h)MF(dg^)UF(h)†M_F(d(h\hat g))= U_F(h)M_F(d\hat g)U_F(h)^\dagger. Group-covariant estimation is established machinery. Bagan, Baig, and Muñoz-Tapia derived optimal strategies…

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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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Sources cited in the surrounding passage

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