Title | Capacity Theorems for Covert Bosonic Channels |
Publication Type | Conference Paper |
Year of Publication | 2021 |
Authors | Bullock, Michael S., Gagatsos, Christos N., Bash, Boulat A. |
Conference Name | 2020 IEEE Information Theory Workshop (ITW) |
Keywords | channel capacity, composability, compositionality, Conferences, covert channels, Information theory, pubcrawl, Quantum entanglement, Receivers, reliability theory, resilience, Resiliency, Scalability |
Abstract | 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. |
DOI | 10.1109/ITW46852.2021.9457618 |
Citation Key | bullock_capacity_2021 |