Manuscript Oai280-C@1 · Oai280-C.tex · section · 7d44b8c0

A nontrivial hybrid algebra on the same bulk

One connected two-cell encoding › A nontrivial hybrid algebra on the same bulk · lines 838–856

Oai280-C@1#eq:hyb

On $L \otimes S$ choose sectors according to the computational basis of $S$ :

M_{hyb} = B (L) \otimes diag (S) .

Each sector contains one logical qubit. The restriction target is

T_{hyb} (ρ) = s = 0 ⨁^{1} (I_{L} \otimes ⟨ s ∣) ρ (I_{L} \otimes ∣ s ⟩) .

Identify its output with $L \otimes S_{cl}$ .

Displayed formulas in this passage

Oai280-C@1#eq:hyb · line 848
$T_{hyb} (ρ) = s = 0 ⨁^{1} (I_{L} \otimes ⟨ s ∣) ρ (I_{L} \otimes ∣ s ⟩) .$
unlabeled · line 842
$M_{hyb} = B (L) \otimes diag (S) .$