Manuscript Em03-C@1 · Em03-C-v1.tex · section · 47dd71ec

Exact extraction and global control error

Joint extraction and complete correlated readout › Exact extraction and global control error · lines 1433–1456

The joint bound need not be an equality: different tail branches can overlap after finite preparation.

Allow a global bounded perturbation

H_{E} (t) = H_{E} (t) + Δ H_{E} (t)

on memories, registers, and $S$ , with identity on $R$ . It may include cross-memory and cross-register coupling. A permitted finite leakage model has

Δ H_{E} (t) = (P_{1, J_{1}} \otimes P_{2, J_{2}} \otimes I_{QS}) Δ H_{E} (t) (P_{1, J_{1}} \otimes P_{2, J_{2}} \otimes I_{QS}), J_{i} \geq K_{i} .

Define

ζ_{E} = min {1, \int_{0}^{T_{E}} ∥Δ H_{E} (t) ∥ d t} .

Displayed formulas in this passage

unlabeled · line 1439
$H_{E} (t) = H_{E} (t) + Δ H_{E} (t)$
unlabeled · line 1445
$Δ H_{E} (t) = (P_{1, J_{1}} \otimes P_{2, J_{2}} \otimes I_{QS}) Δ H_{E} (t) (P_{1, J_{1}} \otimes P_{2, J_{2}} \otimes I_{QS}), J_{i} \geq K_{i} .$
unlabeled · line 1453
$ζ_{E} = min {1, \int_{0}^{T_{E}} ∥Δ H_{E} (t) ∥ d t} .$

Exact extraction and global control error

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