Manuscript Em03-B@2 · Em03-B-v2.tex · section · c1a0977d

Derived quantum and preparation bounds

B5: a complete readout apparatus and its errors › Derived quantum and preparation bounds · lines 1623–1639

Em03-B@2#eq:readcomponents

Define

a (r) = min {1, 1 - 1 - r + r /2},

and

δ_{D} δ_{B} δ_{X} δ_{R} = min {1, j \sum a (r_{D, j})}, = min {1, \frac{1}{2} j \sum ∣ α_{j} ∣}, = min {1, \int ∥ G_{X} (t) ∥ d t}, = min {1, \int_{0}^{T_{R}} ∥Δ H_{R} (t) ∥ d t} .

Displayed formulas in this passage

Em03-B@2#eq:readcomponents · line 1630
$δ_{D} δ_{B} δ_{X} δ_{R} = min {1, j \sum a (r_{D, j})}, = min {1, \frac{1}{2} j \sum ∣ α_{j} ∣}, = min {1, \int ∥ G_{X} (t) ∥ d t}, = min {1, \int_{0}^{T_{R}} ∥Δ H_{R} (t) ∥ d t} .$
unlabeled · line 1626
$a (r) = min {1, 1 - 1 - r + r /2},$