Manuscript Oai280-B@1 · Oai280-B.tex · section · 6d92ab75

Explicit accessible decoders

Privacy, perfectness, and exact access-dependent recovery › Explicit accessible decoders · lines 545–558

Oai280-B@1#eq:TA

For $∣ A ∣ = m \geq 3$ , put $k = 5 - m$ and $K_{A} = (C^{2})^{\otimes k}$ . Define vectors and a matrix using the printed $V$ :

∣ u^{A}_{i, b} ⟩ T_{A} ∣ i, b ⟩ = 2^{k /2} (I_{A} \otimes ⟨ b ∣_{A ˉ}) Π_{A} V ∣ i ⟩, = ∣ u^{A}_{i, b} ⟩, i \in {0, 1}, b \in {0, 1}^{k} .

Displayed formulas in this passage

Oai280-B@1#eq:TA · line 549
$∣ u^{A}_{i, b} ⟩ T_{A} ∣ i, b ⟩ = 2^{k /2} (I_{A} \otimes ⟨ b ∣_{A ˉ}) Π_{A} V ∣ i ⟩, = ∣ u^{A}_{i, b} ⟩, i \in {0, 1}, b \in {0, 1}^{k} .$