Separating the entanglement dimension k from the Hilbert space dimension d reduces the signal-to-noise ratio needed to certify k-dimensional entanglement, with an optimal d near 2.41k that can cut detector efficiency requirements by orders of magnitude.
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Is high-dimensional photonic entanglement robust to noise?
Separating the entanglement dimension k from the Hilbert space dimension d reduces the signal-to-noise ratio needed to certify k-dimensional entanglement, with an optimal d near 2.41k that can cut detector efficiency requirements by orders of magnitude.