Self-testing of Pauli observables for device-independent entanglement certification

TL;DR

This paper develops self-testing protocols for Pauli measurements on maximally entangled states, enabling device-independent certification of entanglement in high-dimensional quantum systems.

Contribution

It introduces new self-testing methods for tensor products of Pauli measurements on maximally entangled states of arbitrary dimension, advancing device-independent entanglement certification.

Findings

Protocols for self-testing Pauli measurements in high dimensions

Device-independent certification of bipartite entanglement

Connection to measurement device-independent witnesses

Abstract

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 $n\in\mathbb{N}$. 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 and provides all the required technical proofs.