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Equivalence of the catalytic entropy conjecture and the transitivity conjecture is plausible
(2019)In essence, the catalytic entropy conjecture states that for a given initial state and a target state with higher entropy there exists a unitary operator acting on the tensor product of the initial state and a state of an auxiliary system such that the marginal states after the action of the unitary are precisely the target state and the same auxiliary state respectively. Since the state of the auxiliary system remains unchanged, we refer ...Student Paper