A geometric construction via shortest-distance projection to the convex set of useless states yields optimal teleportation witnesses and a necessary-and-sufficient usefulness criterion for arbitrary two-qudit states.
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Two universal criteria are introduced to certify genuine high-dimensional quantum teleportation by fully identifying the entanglement dimension of the resource.
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General Criteria for Certifying Genuine High-Dimensional Quantum Teleportation
Two universal criteria are introduced to certify genuine high-dimensional quantum teleportation by fully identifying the entanglement dimension of the resource.