Equation 14 · How Fast Can a Horizon Learn Which Path You Took?
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol V
V is part of the quantity the equation computes from the expression on the right.
=
The expressions on both sides represent the same quantity under the stated assumptions.
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What the article says around this equation
That gap is not semantic. At V=0.5 , the Holevo ceiling is about 0.811 bits. The minimum-error binary decision yields about 0.646 bits. A sentence saying “the horizon contains 0.811 bits, therefore Bob can read 0.811 bits” has silently replaced an upper bound with a decoder.
Sources cited in the article section
- [14] Quantum Detection and Estimation Theory ↗
- [13] Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel ↗
- [15] Ensemble-Dependent Bounds for Accessible Information in Quantum Mechanics ↗
These citations give research context. Read each source to check which claims it supports.
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