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Following the Basil Hiley’s long held belief (see, for example, B. J. Hiley, "Structure Process, Weak Values and Local Momentum," Journal of Physics: Conference Series, vol. 701, no. 1, 2016) that unresolved problems of conventional quantum mechanics could be the result of a wrong mathematical structure, an alternative basic structure is suggested. Critical part of the structure is modification of commonly used terms “state”, “observable”, “measurement” giving them a clear unambiguous definition. This concrete definition, along with complex planes variable in three dimensions, is quite natural in geometric (Clifford) algebra terms. It helps to establish a feasible language for the area of quantum computing. We will give an introduction to the subject.