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Equation 43 · The Bit Comes Back Before the Bearing

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δ\delta

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the alignment tolerance the observer has decided to demand, also in radians, and tG(δ)t_G(\delta) has units of time [ 12 ]. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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δ\delta

Symbol delta

the alignment tolerance the observer has decided to demand, also in radians, and tG(δ)t_G(\delta) has units of time [ 12 ].

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FQF_Q is the quantum Fisher information of the radiation’s reduced state with respect to g ; it carries units of g−2g^{-2} , i.e. inverse radians squared, and since g is already dimensionless, FQF_Q is a pure number. δ\delta is the alignment tolerance the observer has decided to demand, also in radians, and tG(δ)t_G(\delta) has units of time [ 12 ] . This bound is achievable asymptotically by the symmetric logarithmic derivative measurement; nothing here claims it is achieved by any specific realizable circuit, only that it is the correct floor no circuit can beat.

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