Study of syllogism in the paradigm of quantum logic

The present document aims to lay the foundations for inferential logical reasoning system in the paradigm of quantum computing by using hypothetical syllogisms in its different figures, using the implication gate in the form Jauch, a quantum algorithm was developed that performs the operation analogous to the hypothetical syllogism within the paradigm of quantum logic and depending on the order of its premises can be treated as an inductive syllogism, Following deductive or abductive, the results of the execution of this algorithm were obtained using the quantum circuit simulator Q-team.