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We analyze utility of communication channels in absence of any short ofquantum or classical correlation shared between the sender and the receiver. Tothis aim, we propose a class of two-party communication games, and show thatthe games cannot be won given a noiseless 1-bit classical channel from thesender to the receiver. Interestingly, the goal can be perfectly achieved ifthe channel is assisted with classical shared randomness. This resembles anadvantage similar to the quantum superdense coding phenomenon where pre-sharedentanglement can enhance the communication utility of a perfect quantumcommunication line. Quite surprisingly, we show that a qubit communicationwithout any assistance of classical shared randomness can achieve the goal, andhence establishes a novel quantum advantage in the simplest communicationscenario. In pursuit of a deeper origin of this advantage, we show that anadvantageous quantum strategy must invoke quantum interference both at theencoding step by the sender and at the decoding step by the receiver. We alsostudy communication utility of a class of non-classical toy systems describedby symmetric polygonal state spaces. We come up with communication tasks thatcan be achieved neither with 1-bit of classical communication nor bycommunicating a polygon system, whereas 1-qubit communication yields a perfectstrategy, establishing a strict quantum nature of the advantage. To this end,we show that the quantum advantages are robust against imperfectencodings-decodings, making the protocols implementable with presentlyavailable quantum technologies.

Classical analogue of quantum superdense coding and communication advantage of a single quantum