Manuscript Em03-H@8 · Em03-H-v8.tex · section · 91e9e3bd

Candidate dilation, decoder, and limitations

Candidate dilation, decoder, and limitations · lines 1298–1328

The accessible units are

N_{g} (E_{00}) N_{g} (E_{11}) N_{g} (E_{01}) = ∣ 00 ⟩ ⟨ 00 ∣, = η^{2} ∣ 11 ⟩ ⟨ 11 ∣ + (1 - η)^{2} ∣ 00 ⟩ ⟨ 00 ∣ + η (1 - η) (∣ 10 ⟩ ⟨ 10 ∣ + ∣ 01 ⟩ ⟨ 01 ∣), = (q^{*})^{2} ∣ 00 ⟩ ⟨ 11 ∣, N_{g} (E_{10}) = q^{2} ∣ 11 ⟩ ⟨ 00 ∣ .

The residual-mode complementary units are

C_{g} (E_{00}) C_{g} (E_{11}) C_{g} (E_{01}) = ∣ 00 ⟩ ⟨ 00 ∣, = η^{2} ∣ 00 ⟩ ⟨ 00 ∣ + (1 - η)^{2} ∣ 11 ⟩ ⟨ 11 ∣ + η (1 - η) (∣ 10 ⟩ ⟨ 10 ∣ + ∣ 01 ⟩ ⟨ 01 ∣), = (1 - η) ∣ 00 ⟩ ⟨ 11 ∣, C_{g} (E_{10}) = (1 - η) ∣ 11 ⟩ ⟨ 00 ∣ .

Embedding and tensoring fixed vacuum and spectator factors give the full channels. The residual modes are not discarded information.

Different experiments require a common environmental identification before comparing their physical complements. An amplitude enclosure does not identify residual wavefunctions.

Displayed formulas in this passage

unlabeled · line 1301
$N_{g} (E_{00}) N_{g} (E_{11}) N_{g} (E_{01}) = ∣ 00 ⟩ ⟨ 00 ∣, = η^{2} ∣ 11 ⟩ ⟨ 11 ∣ + (1 - η)^{2} ∣ 00 ⟩ ⟨ 00 ∣ + η (1 - η) (∣ 10 ⟩ ⟨ 10 ∣ + ∣ 01 ⟩ ⟨ 01 ∣), = (q^{*})^{2} ∣ 00 ⟩ ⟨ 11 ∣, N_{g} (E_{10}) = q^{2} ∣ 11 ⟩ ⟨ 00 ∣ .$
unlabeled · line 1312
$C_{g} (E_{00}) C_{g} (E_{11}) C_{g} (E_{01}) = ∣ 00 ⟩ ⟨ 00 ∣, = η^{2} ∣ 00 ⟩ ⟨ 00 ∣ + (1 - η)^{2} ∣ 11 ⟩ ⟨ 11 ∣ + η (1 - η) (∣ 10 ⟩ ⟨ 10 ∣ + ∣ 01 ⟩ ⟨ 01 ∣), = (1 - η) ∣ 00 ⟩ ⟨ 11 ∣, C_{g} (E_{10}) = (1 - η) ∣ 11 ⟩ ⟨ 00 ∣ .$

Candidate dilation, decoder, and limitations

Displayed formulas in this passage

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