Distillation of quantum steering

Abstract

We show -- both theoretically and experimentally -- that Einstein-Podolsky-Rosen steering can be distilled. We present a distillation protocol that outputs a perfectly correlated system -- the singlet assemblage -- in the asymptotic infinite-copy limit, even for inputs that are arbitrarily close to being unsteerable. As figures of merit for the protocol's performance, we introduce the assemblage fidelity and the singlet-assemblage fraction. These are potentially interesting quantities on their own beyond the current scope. Remarkably, the protocol works well also in the non-asymptotic regime of few copies, in the sense of increasing the singlet-assemblage fraction. We demonstrate the efficacy of the protocol using a hyperentangled photon pair encoding two copies of a two-qubit state. This represents to our knowledge the first observation of deterministic steering concentration. Our findings are not only fundamentally important but may also be useful for semi device-independent protocols in noisy quantum networks.

arXiv comment6+4 pages, 3 figures. Accepted for publication in Physical Review Letters

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Cited by in corpus (17)

• Complete classification of steerability under local filters and its relation with measurement incompatibility
• Fermionic steering and its monogamy relations in Schwarzschild spacetime
• One-Shot Manipulation of Dynamical Quantum Resources
• Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering
• Quantum squeezing induced quantum entanglement and EPR steering in coupled optomechanical system
• Robust self-testing of steerable quantum assemblages and its applications on device-independent quantum certification
• Activating Hidden Teleportation Power: Theory and Experiment
• Deep learning the hierarchy of steering measurement settings of qubit-pair states
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• Maxwell's two-demon engine under pure dephasing noise
• Quantum Steering on IBMQ
• Experimental distillation of tripartite quantum steering with an optimal local filtering operation
• Experimental single-copy distillation of quantumness from higher-dimensional entanglement
• Tripartite quantum steering in Schwarzschild spacetime
• Entanglement Cost for Steering Assemblages
• Threshold (Q, P) Quantum Distillation
• Quantum Assemblage Tomography