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Equation 9 · Part 5 · How Fast Can a Horizon Learn Which Path You Took?

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D(T)=1−V(T)2,V(T)2+D(T)2=1.D(T)=\sqrt{1-V(T)^2}, \qquad V(T)^2+D(T)^2=1.
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What this part means

Take a square root.

Its job in the formula

Take a square root.

The passage around this formula

For two pure states, D(T)=1−V(T)2,V(T)2+D(T)2=1D(T)=\sqrt{1-V(T)^2}, \qquad V(T)^2+D(T)^2=1. This is the first translation. A visibility of 0.6 corresponds to a trace distinguishability of 0.8; neither number is a bit count.

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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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