Manuscript Em04-A@2 · Em04-A-v2.tex · section · f5b28abc

Complete partial-transpose spectrum

Exact diagnostic and entanglement identities › Complete partial-transpose spectrum · lines 456–468

For a partition $A ⊔ B = {0, \dots, N - 1}$ with both parts nonempty, let $R_{A B}$ have rows in $A$ , columns in $B$ . Use

N^{A ∣ B} (ρ) = \frac{ρ ^{T_{B}} _{1} - 1}{2}, E_{N}^{A ∣ B} (ρ) = lo g_{2} ρ^{T_{B}}_{1},

with computational-basis partial transpose VidalWerner.

Displayed formulas in this passage

unlabeled · line 461
$N^{A ∣ B} (ρ) = \frac{ρ ^{T_{B}} _{1} - 1}{2}, E_{N}^{A ∣ B} (ρ) = lo g_{2} ρ^{T_{B}}_{1},$