BUILDING THE BRIDGE: Epistemic Authorization for Quantum Advantage

Quantum computing is a hard field. The gap between theoretical promise and practical trust remains vast. This paper introduces Trignumental Quantum Phase Estimation (TQPE), expanding the philosophical framework of Trignumentality into quantum computation. TQPE is not a new quantum algorithm, but an epistemic authorization pipeline that validates quantum circuit logic before execution and grounds phase estimation in the sensible world. Utilizing the TRIGNUM-300M Subtractive Filter, the pipeline applies a rigorous "Technical A Priori" check to quantum configurations. The paper includes a full implementation and benchmark of the TQPE pipeline estimating the ground state energies of the H2 and LiH molecules, achieving a 99.5% F1 score in structural logic validation and verifying epistemic confidence on the final molecular measurements.