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This study resolves a long-standing theoretical question by proving that all rank-2 two-qubit entangled states possess EPR steering properties, thereby certifying them as reliable resources for quantum information protocols. The findings extend Gisin's theorem to a broader class of mixed states, strengthening the foundational link between entanglement and nonlocality essential for secure quantum communication and computation.

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All entangled qubits of a certain type can steer, study finds

Quantum ZeitgeistAugust 24, 20264 min read

Researchers proved all rank-2 two-qubit entangled states exhibit EPR steering, a key resource for quantum information, including the simpler rank-1 cases.

Yu-Xuan Zhang of Nankai University and Jing-Ling Chen have proven that every entangled rank-2 two-qubit state is EPR steerable. This resolves a long-standing question of how entanglement and EPR steering relate for rank-2 two-qubit states, building on Gisin’s theorem which established a link for pure states. The researchers used a local-unitary parametrization of rank-2 two-qubit states and a state-dependent nonlinear steering inequality in their proof, establishing these states as certifiable resources for quantum information technologies. This result extends Gisin’s theorem, which…

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