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The paper develops a theoretical framework for relay-assisted quantum free-space optical links that harvest their own energy, modelling turbulence as a random-transmissivity pure-loss channel. Its main claim is that squeezed-light signalling can improve reliability in finite-photon regimes without changing the turbulence-limited diversity order or leading asymptotic constant of coherent relaying. For readers, the value lies in the analytical bounds and the identified regime where squeezing helps, though the results are theoretical and depend on the specific channel and detection assumptions.
Researchers Bound Quantum Communication’s Energy Loss with Squeezed Light

Optimized squeezing improves upon previous methods by preserving both the turbulence induced diversity order *and* leading asymptotic constant of coherent relaying, meaning performance scales similarly to traditional approaches with added benefits from finite photon budgets and optimized energy use. This work demonstrates a free-space optical communication system powered by harvested light, proving that carefully shaped quantum signals can maintain reliable data transmission despite atmospheric interference. The research offers a path toward more sustainable long-distance quantum communications through efficient resource allocation.
A physically consistent description models turbulence-induced loss for non-classical signalling models each hop as a pure-loss bosonic channel whose random transmissivity follows a truncated Gamma-Gamma law, conditioned on the physically admissible range of transmittance. Under this channel, coherent states remain pure, whereas squeezed states are mapped to mixed Gaussian states. For Helstrom-optimal detection, the average error of the coherent hop is derived by exact Laplace-series form analysis. For the decode-and-forward (DF) hop with displaced squeezed states (DSS), output states are derived, along with a closed-form Gaussian…
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