Manuscript I@2 · I.tex · section · 85631fa7

Limited static rigidity

The independent static marginal problem › Limited static rigidity · lines 3027–3038

For $n \geq 3$ , the state

a ∣ 0 ⟩^{\otimes n} + b ∣ 1 ⟩^{\otimes n}, ∣ a ∣^{2} + ∣ b ∣^{2} = 1,

has diagonal proper reductions. Absent strings of weights one and two have opposite parities. Every positive compatible family therefore agrees with the Born diagonal on this input, even though non-Born freedom exists elsewhere.

Displayed formulas in this passage

unlabeled · line 3030
$a ∣ 0 ⟩^{\otimes n} + b ∣ 1 ⟩^{\otimes n}, ∣ a ∣^{2} + ∣ b ∣^{2} = 1,$

Nearby in this section

lemma: Lemma: Parity rigidity
proposition: Proposition: Affine rigidity
section: Limited static rigidity