to have a model for quantum computing you will need to be able to define individual Qunatum Gates operating on qubit (like Hadamard gate https://cs.stackexchange.com/questions/37080/trying-to-under... ) in order to implement algo like Shor's algorithm for (quantum-sped-up) prime-factoring in polylogarithmic time.

i.e. the quantum "simultaneity" only works via doing linear transformation across the probability amplitudes.

Will be interesting to see how interaction net can be extended (if possible at all?) to fit into the linear algebra of QM