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

Why this formula appears here

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 ] .

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With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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

Equation 13 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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 ] .

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