Manuscript En04-A@1 · En04-A.tex · section · bab77211

A finite-time microscopic allowance

Finite certificates and what they actually establish › A finite-time microscopic allowance · lines 1776–1793

For completeness, the regulator used by the source–scalar architecture can be stated independently of the magic claims. Let the source be finite dimensional, let $H_{S}$ be bounded, and let

H = H_{S} + d Γ (h_{B}) + a \sum g_{a} A_{a} \otimes Φ (f_{a}),

with self-adjoint bounded $A_{a}$ , vacuum bath preparation, and $μ I \leq h_{B} \leq Λ I$ . Define

G = a \sum ∣ g_{a} ∣ ∥ A_{a} ∥ ∥ f_{a} ∥, Z_{m} (x) = ℓ = m + 1 \sum^{\infty} \frac{x ^{ℓ}}{ℓ !} .

Displayed formulas in this passage

unlabeled · line 1782
$H = H_{S} + d Γ (h_{B}) + a \sum g_{a} A_{a} \otimes Φ (f_{a}),$
unlabeled · line 1789
$G = a \sum ∣ g_{a} ∣ ∥ A_{a} ∥ ∥ f_{a} ∥, Z_{m} (x) = ℓ = m + 1 \sum^{\infty} \frac{x ^{ℓ}}{ℓ !} .$

Nearby in this section

proposition: Proposition: Finite-time prepared-channel regulator
section: A finite-time microscopic allowance