Manuscript Em06-A@1 · Em06-A-v1.tex · remark · ee9923c6

Remark: The preparation has a resource cost

Repairs to the proof architecture and final release › Three errors excluded by the construction · lines 1342–1357

The chosen coherent states obey

⟨ Ψ_{ϵ}, N Ψ_{ϵ} ⟩ = \frac{∥ z _{cl} ∥ ^{2}}{ϵ} .

For the smooth preparation,

⟨ Ψ_{ϵ}, ϵ d Γ (ω_{p}) Ψ_{ϵ} ⟩ = \int_{R^{3}} ω_{p} ∣ z_{cl} (p) ∣^{2} d^{3} p .

Thus the scaled classical energy is finite while the expected unscaled particle number grows. No bounded-resource preparation or laboratory implementation is inferred.

Displayed formulas in this passage

unlabeled · line 1344
$⟨ Ψ_{ϵ}, N Ψ_{ϵ} ⟩ = \frac{∥ z _{cl} ∥ ^{2}}{ϵ} .$
unlabeled · line 1349
$⟨ Ψ_{ϵ}, ϵ d Γ (ω_{p}) Ψ_{ϵ} ⟩ = \int_{R^{3}} ω_{p} ∣ z_{cl} (p) ∣^{2} d^{3} p .$

Nearby in this section

proposition: Proposition: Fixed-CCR coherent displacement does not suffice
section: Three errors excluded by the construction
remark: Remark: Other repairs