Self-testing of Pauli observables for device-independent entanglement certification
Joseph Bowles, Ivan Šupić, Daniel Cavalcanti, Antonio Acín · Physical Review A · 2018
We present self-testing protocols to certify the presence of tensor products of Pauli measurements on maximally entangled states of local dimension ${2}^{n}$ for $n\ensuremath{\in}\mathbb{N}$. This provides self-tests of sets of informationally complete measurements in arbitrarily high dimension. We then show that this can be used for the device-independent certification of the entanglement of all bipartite entangled states by exploiting a connection to measurement-device-independent entanglement witnesses and quantum networks. This work extends a more compact parallel work on the same subject [Bowles et al., Phys. Rev. Lett. 121, 180503 (2018)] and provides all the required technical proofs.