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As quantum computers mature, the applicability in practice becomes moreimportant. Many uses of quantum computers will be hybrid, with classicalcomputers still playing an important role in operating and using the quantumcomputer. The term hybrid is however diffuse and multi-interpretable. In thiswork we define two classes of hybrid quantum-classical computing: vertical andhorizontal. The first is application-agnostic and concerns using quantumcomputers. The second is application-specific and concerns running analgorithm. For both, we give a further subdivision in different types of hybridquantum-classical computing and we coin terms for them.

Classification of Hybrid Quantum-Classical Computing