Manuscript En01-A@1 · En01-A.tex · definition · 558b972b

Definition: Independent pointer fragment

Cross operators, fidelity, screening, and noisy architecture › Independent noisy fragments · lines 1462–1474

En01-A@1#def:fragment

A fresh residual fragment $a$ may be prepared under control of a perfect record root $q$ by

∣ b ⟩_{q} ∣0 ⟩_{a} ⟼ ∣ b ⟩_{q} ∣ e_{a}^{(b)} ⟩, γ_{a} = ∣ ⟨ e_{a}^{(0)} ∣ e_{a}^{(1)} ⟩ ∣.

The fragment is not added to a perfect copy class unless it is actually a computational-basis copy. A product-law assertion additionally assumes that the branch states retain the specified fragment tensor factors.

Displayed formulas in this passage

unlabeled · line 1465
$∣ b ⟩_{q} ∣0 ⟩_{a} ⟼ ∣ b ⟩_{q} ∣ e_{a}^{(b)} ⟩, γ_{a} = ∣ ⟨ e_{a}^{(0)} ∣ e_{a}^{(1)} ⟩ ∣.$

Nearby in this section

section: Independent noisy fragments
section: Independent noisy fragments
proposition: Proposition: Exact fragment product law
corollary: Corollary: Exponential suppression with an accessible root
section: Independent noisy fragments
example: Example: Correlated phase records