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The only non-zero overlap occurs in the vacuum component: F(Φ(ρ 1),Φ(ρ 2)) = 1− ⟨λ⟩.(A3)

Main Output Fidelity The action of the fading channel Φ on the probe states yields: Φ(ρ1) = X n pnEλn(|0⟩ ⟨0|) = X n pn |0⟩ ⟨0|=|0⟩ ⟨0|,(A1) Φ(ρ2) = X n pnEλn(|1⟩ ⟨1|) = X n pn [(1

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Convex combinations of bosonic pure-loss channels

quant-ph · 2026-04-29 · unverdicted · novelty 6.0

Fading bosonic channels support positive quantum communication rates with non-Gaussian encodings even when thermal states fail, and always allow positive-rate ED and QKD if not completely noisy.

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  • Convex combinations of bosonic pure-loss channels quant-ph · 2026-04-29 · unverdicted · none · ref 56

    Fading bosonic channels support positive quantum communication rates with non-Gaussian encodings even when thermal states fail, and always allow positive-rate ED and QKD if not completely noisy.