On quantum sets with quantum relations:
Andre Kornell, Quantum Sets, J. Math. Phys. 61 102202 (2020) [doi:10.1063/1.5054128]
Andre Kornell, Discrete quantum structures [arXiv:2004.04377]
Andre Kornell, Discrete quantum structures I: Quantum predicate logic, J. Noncommut. Geom. (2023) [doi:10.4171/jncg/531]
Introducing a notion of quantum CPOs for quantum computation (via quantum sets carrying quantum relations):
On an axiomatic characterization of the compact closed dagger category Hilb of Hilbert spaces:
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