Manuscript Hawk01-A@1 · Hawk01-A.tex · definition · 11979653

Definition: Transfer completion

An explicit Hawking-mode completion and its nonidentifiability › Paired occupation sectors and the early resource · lines 1525–1548

Hawk01-A@1#def:transferV, Hawk01-A@1#eq:transferV

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On the prepared input subspace define

V_{1} (∣ ψ ⟩_{A} ∣ r ⟩_{K} ∣ M ⟩) = ∣ r ⟩_{K} [n, k \sum p_{n, k} ∣ b_{n, k} ⟩_{B} \otimes J_{n, k} P_{r} ∣ ψ ⟩_{R} + 0 \leq n \leq L n even \sum w_{n} I_{n} ∣ ψ ⟩_{B} \otimes ∣ n, n ⟩_{R}] .

The residual subspaces used by distinct terms are orthogonal. $E$ is untouched. The common internal message energy has been included in the initial source energy; its logical Hamiltonian is zero.

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Hawk01-A@1#eq:transferV · line 1528
$V_{1} (∣ ψ ⟩_{A} ∣ r ⟩_{K} ∣ M ⟩) = ∣ r ⟩_{K} [n, k \sum p_{n, k} ∣ b_{n, k} ⟩_{B} \otimes J_{n, k} P_{r} ∣ ψ ⟩_{R} + 0 \leq n \leq L n even \sum w_{n} I_{n} ∣ ψ ⟩_{B} \otimes ∣ n, n ⟩_{R}] .$

Definition: Transfer completion

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