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We show that weakly entangled states can improve communication over a qubitchannel using only separate, interference-free, measurements of individualphotons. We introduce a communication task corresponding to the cryptographicprimitive known as secret sharing and show that all steerable two-qubitisotropic states provide a quantum advantage in the success rate using onlyproduct measurements. Furthermore, we show that such measurements can evenreveal communication advantages from noisy partially entangled states thatadmit no quantum steering. We then go further and consider a stochastic variantof secret sharing based on more sophisticated, yet standard, partial Bell stateanalysers, and show that this reveals advantages also for a range ofunsteerable isotropic states. By preparing polarisation qubits in unsteerablestates, we experimentally demonstrate improved success rates of both secretsharing tasks beyond the best entanglement-unassisted qubit protocol. Ourresults reveal the capability of simple and scalable measurements inentanglement-assisted quantum communication to overcome large amounts of noise.

Weak entanglement improves quantum communication using only product measurements