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

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.

Published version. This is longer technical version of the article "Device independent entanglement certification of all entangled states". Comments welcome

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• Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction
• Robust certification of arbitrary outcome quantum measurements from temporal correlations
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• Authenticated teleportation with one-sided trust
• All Real Projective Measurements Can be Self-tested
• Network-Device-Independent Certification of Causal Nonseparability
• An operator-algebraic formulation of self-testing
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• Activation of post-quantumness in bipartite generalised EPR scenarios
• Quantum bounds and device-independent security with rank-one qubit measurements
• Investigating an approach of robustly self-testing two-qubit entangled states
• Parallel remote state preparation for fully device-independent verifiable blind quantum computation
• Testing the necessity of complex numbers in traditional quantum theory with quantum computers
• Better bounds on finite-order Grothendieck constants
• Activation of post-quantum steering
• Device-independent quantum state discrimination
• Device-independent secure correlations in sequential quantum scenarios
• Robust self-testing and certified randomness based on chained Bell inequality
• Trading symmetry for Hilbert-space dimension in Bell-inequality violation