In the book "Innovative quantum computing" the authors present new ideas and mathematical constructions which lay in the ground of quantum computation and can play important role in further hardware development in future generations of quantum computers. The fundamental generalizations are introduced for the qubits per se (by considering obscure qubits) and superqubits (by introducing generalized superqubits). Then the higher grading quantum gates, new formulation of duality quantum computing by means of polyadic Hopf algebras and novel description of quantum walks in terms of polyanders are proposed.

As opposed to other books, all innovations and proposals (even one sentence seed ideas) are designed as new environments and consequently numbered, which can be useful for their further development and future references.