Manuscript En07-B@1 · En07-B.tex · remark · 45dff4a1

Remark: Nonconstant does not mean independently recoverable

Complete preservation and exact outgoing recovery · lines 517–527

The isometry

V_{copy} ∣ i ⟩ = ∣ i ⟩_{R} ∣ i ⟩_{B}

has the computational dephasing channel on each output. Both outputs are nonconstant. Neither returns the entire unknown quantum code. This is not a contradiction to Corollary cor:nohiding; quantum coherences are absent from each marginal.

Displayed formulas in this passage

unlabeled · line 519
$V_{copy} ∣ i ⟩ = ∣ i ⟩_{R} ∣ i ⟩_{B}$

Nearby in this section

section: Complete preservation and exact outgoing recovery
theorem: Theorem: Complete-output restoration
remark: Remark: Complete access is not outgoing access
section: Complete preservation and exact outgoing recovery
theorem: Theorem: Exact complete-complement criterion
corollary: Corollary: No-hiding and no independent duplicate recovery