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Equation 13 · Part 1 · How Fast Can a Horizon Learn Which Path You Took?

Symbol chi_H

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

What this part means

chiHi_H is part of the quantity the equation computes from the expression on the right.

Its job in the formula

chiHi_H is part of the quantity the equation computes from the expression on the right.

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 ] .

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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