Representation of Cyclic Colour Spaces within Quantum Space

Data of circular nature occurs frequently in several areas of science. In this paper we deal with data of this type, namely the HSI colour space. We show how one may embed this space into a quantum state space where distance measures exists that take the circular nature of the given data into account. This might hint that the quantum state space is useful not only for the problem at hand but may be used apart from quantum mechanics and quantum computations to solve classical problems as well.