Covert Capacity of Bosonic Channels

Abstract

We investigate the quantum-secure covert-communication capabilities of lossy thermal-noise bosonic channels, the quantum-mechanical model for many practical channels. We determine the expressions for the covert capacity of these channels: $L_{\text{no-EA}}$, when Alice and Bob share only a classical secret, and $L_{\text{EA}}$, when they benefit from entanglement assistance. We find that entanglement assistance alters the fundamental scaling law for covert communication. Instead of $L_{\text{no-EA}}\sqrt{n}-r_{\text{no-EA}}(n)$, $r_{\text{no-EA}}(n)=o(\sqrt{n})$, entanglement assistance allows $L_{\text{EA}}\sqrt{n}\log n-r_{\text{EA}}(n)$, $r_{\text{EA}}(n)=o(\sqrt{n}\log n)$, covert bits to be transmitted reliably over $n$ channel uses.

arXiv commentMore details on Lemma 1. Other minor changes. Comments are welcome

References in corpus (21)

• Limits of Reliable Communication with Low Probability of Detection on AWGN Channels
• From Classical to Quantum Shannon Theory
• Covert Communication over Noisy Channels: A Resolvability Perspective
• Fundamental Limits of Communication with Low Probability of Detection
• One-Shot Classical-Quantum Capacity and Hypothesis Testing
• Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
• Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
• The quantum capacity of channels with arbitrarily correlated noise
• Structured optical receivers to attain superadditive capacity and the Holevo limit
• Covert Optical Communication
• An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
• First and Second Order Asymptotics in Covert Communication
• Gaussian hypothesis testing and quantum illumination
• One shot entanglement assisted classical and quantum communication over noisy quantum channels: A hypothesis testing and convex split approach
• Practical route to entanglement-assisted communication over noisy bosonic channels
• Broadband channel capacities
• Position-based coding and convex splitting for private communication over quantum channels
• Upper bounds on secret key agreement over lossy thermal bosonic channels
• A framework for covert and secret key expansion over quantum channels
• Infinite-fold enhancement in communications capacity using pre-shared entanglement
• Coherent-state constellations and polar codes for thermal Gaussian channels

Cited by in corpus (7)

• Demonstration of Entanglement-Enhanced Covert Sensing
• Entanglement-assisted capacity regions and protocol designs for quantum multiple-access channels
• Quantum-Enhanced Transmittance Sensing
• Perturbation Theory for Quantum Information
• Transceiver designs to attain the entanglement assisted communications capacity
• One-Shot Triple-Resource Trade-Off in Quantum Channel Coding
• Bounds on Covert Capacity with Sub-Exponential Random Slot Selection