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Equation 49 · Part 1 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol θ

2sin⁡2(θ/2)/π2\sin^2(\theta/2)/\pi
θ\theta

What this part means

θ 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

θ 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

This expression follows from the Haar distribution of rotation angle, whose density on [0,π\pi] is 2sin⁡2(θ/2)\sin^2(\theta/2)/π\pi . It passes the limiting checks: at ϵ\epsilon=0 , blind success is zero; at ϵ\epsilon=π\pi , it is one. The redundancy definition is informative only when 1-δ\delta>pblind(ϵ)p_{\mathrm{blind}}(\epsilon) . Otherwise an empty box can qualify as a witness.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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