Manuscript IV-B@1 · IV-B-v1.tex · section · dfb66408

Edge removal and its topology

Model 1: the fixed TT plane and removable edge › Edge removal and its topology · lines 722–737

IV-B@1#eq:coherent-edge

For a coherent preparation of total mean number $ν$ , an explicit unitary-vector error is obtained from

E_{ε} (ν; τ) = n \geq 0 in f [2 Pr {Pois (ν) > n} + \frac{2 D ε ∣ τ ∣ ( n + 1 )}{( 1 - 2 C ∣ τ ∣ ) ^{n + 2}}] .

At fixed admissible $τ$ , this tends to zero by first fixing a large $n$ , then taking $ε ↓ 0$ .

Displayed formulas in this passage

IV-B@1#eq:coherent-edge · line 726
$E_{ε} (ν; τ) = n \geq 0 in f [2 Pr {Pois (ν) > n} + \frac{2 D ε ∣ τ ∣ ( n + 1 )}{( 1 - 2 C ∣ τ ∣ ) ^{n + 2}}] .$