  In this work, we develop a space-time block code for noncoherent
communication using techniques from the field of quantum error correction. We
decompose the multiple-input multiple-output (MIMO) channel into operators from
quantum mechanics, and design a non-coherent space time code using the quantum
stabilizer formalism. We derive an optimal decoder, and analyze the former
through a quantum mechanical lens. We compare our approach to a comparable
coherent approach and a noncoherent differential approach, achieving comparable
or better performance.
