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Gong and Wang propose fidelity-based and robustness-based criteria that certify whether a teleportation link genuinely uses high-dimensional entanglement, rather than just reporting that a transmission succeeded. The criteria need only input and output teleportation data and still work with partial Bell-state measurements, which could make verification easier on real hardware. For quantum networking readers, the practical question is whether these tests hold up under realistic noise and experimental constraints, which the summary does not yet show.
Teleportation criteria identify entanglement dimension in quantum networks

Certifying high-dimensional quantum teleportation (HDQT) requires identifying the entanglement dimension of the resource, a gap addressed by two new fidelity & robustness-based criteria.
Neng-Fei Gong and Tie-Jun Wang, both of Beijing University of Posts and Telecommunications, have proposed two new criteria, based on fidelity and robustness, for verifying genuine high-dimensional quantum teleportation (HDQT). Their work goes beyond simply demonstrating successful transmission by identifying the dimension of the entanglement used in the process, a critical step for building reliable quantum networks. The researchers detail that a complete certification of HDQT must verify whether the transmission capacity and noise resilience meet necessary thresholds. These criteria require only input and output teleportation data and function even with partial Bell-state…
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