Manuscript X-J-ST@1 · X-J-ST.tex · section · 8f0d1a36

A higher-order encoding test

Section B: selective amplitude visibility › A higher-order encoding test · lines 1143–1158

This strengthens the use of the predecessor's second-order diagnostic by explicitly distinguishing the order of the interaction from the order of its encoding response XEnterST. It is not a sixth-order field-theoretic calculation.

For example, Hadamard followed by destructive readout has

Pr (1 ∣ z) = \frac{1 - sech ( z / σ )}{2} = \frac{z ^{2}}{4 σ ^{2}} + O (z^{4}) .

A vanishing first derivative does not imply erasure. If $z = g^{3} d$ , this effect first appears at order $g^{6}$ .

Displayed formulas in this passage

unlabeled · line 1152
$Pr (1 ∣ z) = \frac{1 - sech ( z / σ )}{2} = \frac{z ^{2}}{4 σ ^{2}} + O (z^{4}) .$

Nearby in this section

section: A higher-order encoding test
theorem: Theorem: Retained-order visibility test