Universal Limit on Communication

Abstract

I derive a universal upper bound on the capacity of any communication channel between two distant systems. The Holevo quantity, and hence the mutual information, is at most of order $E\Delta t/\hslash$, where $E$ is the average energy of the signal, and $\Delta t$ is the amount of time for which detectors operate. The bound does not depend on the size or mass of the emitting and receiving systems, nor on the nature of the signal. No restrictions on preparing and processing the signal are imposed. As an example, I consider the encoding of information in the transverse or angular position of a signal emitted and received by systems of arbitrarily large cross-section. In the limit of a large message space, quantum effects become important even if individual signals are classical, and the bound is upheld.

4 pages, 2 figures; v2: minor changes

References in corpus (4)

• Relative entropy and the Bekenstein bound
• Proof of a Quantum Bousso Bound
• Entropy on a null surface for interacting quantum field theories and the Bousso bound
• Universal Bounds on the Time Evolution of Entanglement Entropy

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• Quantum Energy Teleportation versus Information Teleportation
• Thermodynamics of quantum information in noisy polarizers
• What exactly does Bekenstein bound?