← All parts of this equation

Equation 13 · Part 4 · How Fast Can a Horizon Learn Which Path You Took?

Symbol V

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

What this part means

V occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

V occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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 function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

Open the illustrated functions: inputs become outputs guide →

See this notation across published equations →

Sources cited in the surrounding passage

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