No, a high-qubit, noiseless quantum computer would not be able to accurately predict a human's choices before they are made. Quantum computers are powerful computational devices, but they do not possess the ability to predict human choices or behavior with certainty.
Predicting human choices involves understanding complex cognitive processes, emotions, external influences, and a wide range of variables that are beyond the scope of current scientific knowledge. While quantum computers can perform complex calculations and analyze large datasets, they are ultimately limited to solving problems within the realm of computational tasks and mathematical algorithms.
Furthermore, even if we assume that all the necessary data about a human's state and environment were available, the inherent uncertainty and indeterminism of quantum mechanics would still introduce limitations. Quantum systems exhibit fundamental randomness and uncertainty due to phenomena such as superposition and measurement outcomes.
Therefore, while quantum computers have the potential to revolutionize various fields, predicting human choices with absolute accuracy is not within their capabilities. Understanding human behavior involves a multitude of factors, including personal experiences, motivations, and free will, which cannot be captured solely through computational power.