← All parts of this equation

Equation 13 · Part 6 · How Fast Can a Horizon Learn Which Path You Took?

fraction

χH(T)=h2 ⁣(1+V(T)2).\chi_H(T)= h_2\!\left(\frac{1+V(T)}{2}\right).
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

There is another number in the same pair of states. The Holevo quantity of the equal-prior pure ensemble is χH(T)=h2 ⁣(1+V(T)2)\chi_H(T)= h_2\!\left(\frac{1+V(T)}{2}\right). It is the von Neumann entropy of the average conditional state because each conditional state is pure. Holevo’s theorem makes this quantity an upper bound on classical information accessible through a quantum measurement, not a guarantee that an arbitrary one-copy receiver attains it [ 13 ] . Fuchs and Caves developed ensemble-dependent bounds that make the gap between a state’s information content and a receiver’s accessible information explicit [ 15 ] .

Read this part in the article →

Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

Open the illustrated fractions: division written vertically guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.