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Quantum entanglement is a fundamental feature of quantum mechanics, yetcertain entangled states that are unsteerable can be classically simulated insteering scenarios, making them unable to exhibit non-locality in quantumsteering. Despite their significance, a systematic comparison of such entangledstates has not been fully explored. In this work, we quantify the resourcecontent of unsteerable quantum states in terms of the amount of sharedrandomness required to simulate their dynamical behavior in the steeringscenario. We rigorously demonstrate that the simulation cost is unbounded evenfor some two-qubit unsteerable states. Moreover, the simulation cost ofentangled two-qubit states is always strictly greater than that for anyseparable state. \par  A significant portion of our results rely on the relationship between thesimulation cost of two-qubit Werner states and that of noisy spin measurements.Using noisy spin measurements as a central example, we investigate the minimalnumber of outcomes required for a parent measurement to simulate a given set ofcompatible measurements. Although some continuous sets of measurements can besimulated using a finite-outcome parent, we identify scenarios where thesimulation cost diverges. Our results provide previously unknown lower boundson the simulation cost, supported by connections between the simulation cost ofnoisy spin measurements and various geometric inequalities, including thosestudied in the zonotope-approximation problem in Banach space theory.

Cost of Simulating Entanglement in Steering Scenario