A convex geometry mechanism causes discrimination gaps for free states under restricted measurements, and these gaps are rigid against assistance unlike those with non-free states.
Kwon, Nonstabilizerness without Magic: Classically Simulatable Quantum States That Are Indistinguish- ablebyClassicallySimulatableQuantumCircuits(2025), arXiv:2509.25790 [quant-ph]
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Resourcefulness without Resource: Geometric Origins and Robustness
A convex geometry mechanism causes discrimination gaps for free states under restricted measurements, and these gaps are rigid against assistance unlike those with non-free states.