Quantum trade-off coding for bosonic communication

Physics – Quantum Physics

Scientific paper

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18 pages, 8 figures, v2 has a new figure and a proof that the regions are optimal for the lossy bosonic channel if the entropy

Scientific paper

Recent work has precisely characterized the achievable trade-offs between three key information processing tasks---classical communication (generation or consumption), quantum communication (generation or consumption), and shared entanglement (distribution or consumption), measured in bits, qubits, and ebits per channel use respectively. Slices and corner points of this three-dimensional region reduce to several well-known quantum communication protocols over noisy channels. A single trade-off coding technique can attain any point in the region and can outperform time-sharing between the best known protocols for accomplishing each information processing task alone. Previously, the benefits of trade-off coding that had been found were too small to be of much practical value (for the dephasing and the universal cloning machine channels, for instance). In this article, we demonstrate to the contrary that the associated performance gains are remarkably high for several physically relevant bosonic channels that model free-space / fiber-optic links, thermalizing channels, or amplifiers (or even relativistic communication). We show that significant performance gains from trade-off coding also apply when trading photon-number resources between transmitting public and private classical information simultaneously over secret-key-assisted bosonic channels.

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