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Optimal Verification of Greenberger-Horne-Zeilinger States

Optimal Verification of Greenberger-Horne-Zeilinger States

We construct optimal protocols for verifying qubit and qudit GHZ states using local projective measurements. When the local dimension is a prime, an optimal protocol is constructed from Pauli measurements only. Our protocols provide a highly efficient way for estimating the fidelity and certifying genuine multipartite entanglement. In particular, they …