A quantum logic gate framework for triosephosphate isomerase: Decoherence-induced toxicity

Triosephosphate isomerase (TIM) is one of the most efficient enzymes known, yet its catalytic precision is not fully explained by classical biochemistry. Here we propose that TIM operates as a quantum logic gate, in which the proton transfer between dihydroxyacetone phosphate and glyceraldehyde-3-phosphate arises from quantum tunneling within a reversible two-state system. We extend this catalysis model by introducing a non-unitary decay channel that quantitatively describes the loss of quantum coherence (decoherence) at the level of the enediol intermediate. In this framework, the formation of methylglyoxal (MG) is reinterpreted as a measure of quantum inefficiency, representing the biochemical signature of decoherence. We formalize this using unitary operators and Kraus maps, linking the probability of MG formation to the failure of tunneling events. This allows us to hypothesize MG formation as the result of a "quantum pathogenic noxa", a dissipative quantum event with measurable toxic consequences. Finally, we illustrate one possible biomedical implication by applying the model to sodium-glucose cotransporter 2 inhibitors, which may reduce decoherence probability by altering catalytic cycling. This work introduces a quantitative approach to quantum pathogenicity and suggests that metabolic disorders may, in part, emerge from disrupted quantum coherence at the enzymatic level.