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Extending the functionality and overcoming the performance limitation under which QKD can operate requires either quantum repeaters or new security models. Investigating the latter option, we introduce the Quantum Computational Hybrid (QCH) security model, where we assume that computationally secure encryption may only be broken after time much longer than the coherence time of available quantum memories. We propose an explicit d-dimensional key distribution protocol, that we call MUB-QuantumarXiv:2004.10173v1 fatcat:y3imcbrsr5e4pn3yqv25e6v7hm