Certification of the maximally entangled state using non-projective measurements

Abstract

In recent times, device-independent certification of quantum states has been one of the intensively studied areas in quantum information. However, all such schemes utilise projective measurements which are practically difficult to generate. In this work, we consider the one-sided device-independent (1SDI) scenario, and propose a self-testing scheme for the two-qubit maximally entangled state using non-projective measurements, in particular, three three-outcome extremal POVM's. We also analyse the robustness of our scheme against white noise.

arXiv commentSome typos from the PRA version are corrected!

References in corpus (26)

• Bell nonlocality
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Self-testing of quantum systems: a review
• Robust Self Testing of the Singlet
• Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
• All Pure Bipartite Entangled States can be Self-Tested
• Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing
• Classical randomness in quantum measurements
• Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
• All the self-testings of the singlet for two binary measurements
• Self-testing non-projective quantum measurements in prepare-and-measure experiments
• Self-testing protocols based on the chained Bell inequalities
• Rigidity of quantum steering and one-sided device-independent verifiable quantum computation
• Self-testing through EPR-steering
• Maximal nonlocality from maximal entanglement and mutually unbiased bases, and self-testing of two-qutrit quantum systems
• Quantum networks self-test all entangled states
• Test of mutually unbiased bases for six-dimensional photonic quantum systems
• Fundamental limits on key rates in device-independent quantum key distribution
• Experimentally feasible semi-device-independent certification of $4$ outcome POVMs
• One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
• Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering
• Certification of incompatible measurements using quantum steering
• Self-testing of multipartite GHZ states of arbitrary local dimension with arbitrary number of measurements per party
• Device-independent certification of maximal randomness from pure entangled two-qutrit states using non-projective measurements

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• Distrustful quantum steering
• Network quantum steering enables randomness certification without seed randomness
• Witnessing network steerability of every bipartite entangled state without inputs
• Almost device-independent certification of GME states with minimal measurements
• Topologically noise robust network steering without inputs