One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State

Abstract

We consider the problem of $1$-sided device-independent self-testing of any pure entangled two-qubit state based on steering inequalities which certify the presence of quantum steering. In particular, we note that in the $2-2-2$ steering scenario (involving $2$ parties, $2$ measurement settings per party, $2$ outcomes per measurement setting), the maximal violation of a fine-grained steering inequality can be used to witness certain extremal steerable correlations, which certify all pure two-qubit entangled states. We demonstrate that the violation of analogous CHSH inequality of steering or nonvanishing value of a quantity constructed using a correlation function called mutual predictability together with the maximal violation of fine-grained steering inequality can be used to self-test any pure entangled two-qubit state in a $1$-sided device-independent way.

arXiv comment8 pages, 1 figure

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• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Detecting Einstein-Podolsky-Rosen steering through entanglement detection
• Robust self-testing of two-qubit states
• Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments
• Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering
• Universal detection of entanglement in two-qubit states using only two copies
• Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• Robust certification of arbitrary outcome quantum measurements from temporal correlations
• The resource theory of nonclassicality of channel assemblages
• Certification of the maximally entangled state using non-projective measurements
• Detecting EPR steering via two classes of local measurements
• Experimental self-testing for photonic graph states
• Demonstration of monogamy laws for Gaussian steering in optomechanics
• "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• Averaged fidelity-based steering criteria
• Robust one-sided self-testing of two-qubit states via quantum steering
• Certifying Temporal Correlations
• Robust certification of quantum instruments through a sequential communication game
• Communication scenario enables robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements
• Nonlocality in Continuous-Variable Quantum Networks
• Extremal Steering Assemblages