QuantumMind: An Auditable Agentic Workflow for Quantum Speedup Analysis

QuantumMind is an innovative workflow that is both auditable and agentic, aimed at generating and cautiously evaluating hypotheses related to quantum acceleration. This system formalizes public assignments, examines structural and classical limitations, aligns with a database of quantum primitives and obstacles, and develops targeted candidate schemes. A deterministic validator with ten checks delivers verdicts, and completed states are organized into a Quantum Acceleration Evidence Graph, which is subjected to a downward-only research screening that cannot enhance the initial decision. Evaluated against seven task-specific prompting and agentic controls over 58 tasks, the study tackles the issue of recognizing significant quantum speedups by ensuring claims adhere to the task, respect access and output models, expose necessary commitments, and remain within a justifiable complexity framework. The paper can be found on arXiv with the identifier 2608.07743.