Equation 25 · The Bit Comes Back Before the Bearing

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A

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within $\epsilon$ of perfect, $\epsilon_L(t)$ \. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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A

Symbol A

within $\epsilon$ of perfect, $\epsilon_L(t)$ \.

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What the article says around this equation

$\mathcal N_t$ is the effective channel from A to R\! $\cup$ \! $C_t$ induced by the hole’s own scrambling dynamics up to time t ; $\epsilon_L(t)$ is a dimensionless number in [0,1] , and $t_L$ has units of time. This is a yes-or-no-shaped promise sharpened into a number: either a decoder within $\epsilon$ of perfect exists on the stated resources, or it does not, and $\epsilon_L(t)$ falls, in the regime this article works in, toward zero as t grows past a threshold.

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Sources cited in the article section

[12] Statistical Distance and the Geometry of Quantum States ↗

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