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2022-04-19
Bullock, Michael S., Gagatsos, Christos N., Bash, Boulat A..  2021.  Capacity Theorems for Covert Bosonic Channels. 2020 IEEE Information Theory Workshop (ITW). :1–5.
We study quantum-secure covert-communication over lossy thermal-noise bosonic channels, the quantum mechanical model for many practical channels. We derive the expressions for the covert capacity of these channels: Lno-EA, when Alice and Bob share only a classical secret, and LEA, when they benefit from entanglement assistance. Entanglement assistance alters the fundamental scaling law for covert communication. Instead of Lno-EA$\surd$n-rno-EA(n), rno-EA(n) = o($\surd$n), entanglement assistance allows LEA$\surd$n log n - rEA(n), rEA(n) = o($\surd$n log n), covert bits to be transmitted reliably over n channel uses. However, noise in entanglement storage erases the log n gain from our achievability; work on the matching converse is ongoing.