Manuscript Em03-E@1 · Em03-E-v1.tex · section · c4b07e6a

A finite block interface, not a field-capture extrapolation

E5: constructed coherent access and decoder implementation › A finite block interface, not a field-capture extrapolation · lines 1418–1445

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The emitted cells are finite systems. We construct their whole coherent access map directly. We do not extrapolate Em03-C's two-mode field-capture theorem to an unspecified radiation block.

Encode occupation $n$ into

c_{i} = ⌈ lo g_{2} (J_{i} + 1) ⌉

qubits. Encode $C_{1}$ using one occupied/vacuum bit and two key bits, and encode $C_{2}$ using one occupied/vacuum bit and one data bit:

∣ v ⟩_{C_{1}} ∣ v ⟩_{C_{2}} \mapsto ∣ 0, 0, 0 ⟩, \mapsto ∣ 0, 0 ⟩, ∣ a, b ⟩_{C_{1}} ∣ x_{o} ⟩_{C_{2}} \mapsto ∣ 1, a, b ⟩, \mapsto ∣ 1, x ⟩ .

The total receiver width is

b_{acc} = c_{1} + c_{2} + 5.

Unused binary words are invalid, not postselected away. Let $J_{acc}$ denote this fixed isometric encoding.

Displayed formulas in this passage

unlabeled · line 1425
$c_{i} = ⌈ lo g_{2} (J_{i} + 1) ⌉$
unlabeled · line 1431
$∣ v ⟩_{C_{1}} ∣ v ⟩_{C_{2}} \mapsto ∣ 0, 0, 0 ⟩, \mapsto ∣ 0, 0 ⟩, ∣ a, b ⟩_{C_{1}} ∣ x_{o} ⟩_{C_{2}} \mapsto ∣ 1, a, b ⟩, \mapsto ∣ 1, x ⟩ .$
unlabeled · line 1440
$b_{acc} = c_{1} + c_{2} + 5.$