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Spin-waves in antiferromagnets hold the prospects for the development offaster, less power-hungry electronics, as well as promising physics based onspin-superfluids and coherent magnon-condensates. For both these perspectives,addressing electrically coherent antiferromagnetic spin-waves is of importance,a prerequisite that has so far been elusive, because unlikeferromagnets,antiferromagnets couple weakly to radiofrequency fields. Here, wedemonstrate the detection of ultra-fast non-reciprocal spin-waves in thedipolar-exchange regime of a canted antiferromagnet using both inductive andspintronic transducers. Using time-of-flight spin-wave spectroscopy on hematite({\alpha}-Fe2O3), we find that the magnon wave packets can propagate as fast as20 km/s for reciprocal bulk spin-wave modes and up to 6 km/s for surface-spinwaves propagating parallel to the antiferromagnetic Neel vector. We finallyachieve efficient electrical detection of non-reciprocal spin-wave transportusing non-local inverse spin-Hall effects. The electrical detection of coherentnon-reciprocal antiferromagnetic spin waves paves the way for the developmentof antiferromagnetic and altermagnet-based magnonic devices.

Antiferromagnetic magnon spintronic based on non-reciprocal and non-degenerated ultra-fast spin-waves in the canted antiferromagnet {\alpha}-Fe2O3