This paper examines the limits of quantum control from a structural perspective and explains why classical-style control strategies necessarily fail when applied to quantum phenomena. Despite major advances in experimental precision, noise suppression, feedback, and phase stabilization, direct control over individual quantum outcomes has not been achieved. We argue that this limitation is not technological but fundamental. Within a global realization framework, quantum outcomes do not arise from local physical processes evolving in space between emission and detection. Instead, they occur as discrete realization events constrained by the global experimental configuration. As a consequence, local dynamical interventions that leave the configuration unchanged cannot alter the probability distribution of outcomes. They can only improve the statistical estimation of that distribution. We formalize this limitation as a no-go result for classical-style quantum control: at fixed configuration, neither noise reduction, phase control, nor classical post-processing can steer quantum realizations. Control must therefore be redefined. Rather than selecting individual events, meaningful control operates by reshaping global realizability—enabling, suppressing, or excluding entire classes of outcomes through configuration-level manipulation. Minimal toy models are introduced to demonstrate how changes in experimental configuration modify realization admissibility without introducing signaling, determinism, or additional dynamics. The framework preserves quantum indeterminacy and standard no-go theorems while clarifying why many contemporary quantum control strategies stagnate. This work provides the control-theoretic extension of a broader global realization program, complementing earlier conceptual, modeling, and empirical studies. Quantum control, in this view, is architectural rather than dynamical: it consists in shaping the structure within which outcomes may occur, not in determining outcomes themselves.
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Luka Gluvić
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Luka Gluvić (Sun,) studied this question.
www.synapsesocial.com/papers/699d3f9ede8e28729cf6450a — DOI: https://doi.org/10.5281/zenodo.18732426