Equation 37 · Part 10 · The Bit Comes Back Before the Bearing
Symbol delta^2
What this part means
the square of delta; the alignment tolerance the observer has decided to demand, also in radians, and has units of time [ 12 ].
Its job in the formula
delt appears in the objective or constraint used by the optimization on the right.
Full expression→Symbol delta^2→Article meaning
Where the article explains it
is the alignment tolerance the observer has decided to demand, also in radians, and has units of time [ 12 ] .
The passage around this formula
For the compass, returned has to mean something else, because g is a continuous parameter and no channel can reproduce an unknown continuous value exactly. The honest promise is metrological: the same agent, using the same R , applies the best available measurement and estimator , and the achievable mean-squared error is bounded below by the quantum Cramér-Rao bound, . is the quantum Fisher information of the radiation’s reduced state with respect to g ; it carries units of , i.e. inverse radians squared, and since g is already dimensionless, is a pure number. is the alignment tolerance the observer has decided to demand, also in…
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An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.