Critical properties of EPR steering

arXiv:2611.09321v1 Announce Type: new Abstract: Every PVM-critical entangled two-qubit state becomes steerable with two copies. We prove this for the full critical boundary and for two different critical inputs. The joint measurements can have arbitrarily little entanglement, while all conditional states on Bob's two systems remain separable. Criticality is exactly the point where this measurement-entanglement threshold vanishes. The number of measurements has a separate critical behavior: every fixed setting bound leaves an unsteerable neighborhood of the critical input. Moreover, for any such bound, there are critical states that remain unsteerable under every tensor power, although unrestricted measurements activate them with two copies.