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Distillation of Gaussian Einstein-Podolsky-Rosen steering with noiseless linear amplification
Einstein-Podolsky-Rosen (EPR) steering is one of the most intriguing features
of quantum mechanics and an important resource for quantum communication. The
inevitable loss and noise in the quantum channel will lead to decrease of the
steerability and turn it from two-way to one-way. Despite an extensive research
on protecting entanglement from decoherence, it remains a challenge to protect
EPR steering due to its intrinsic difference from entanglement. Here, we
experimentally demonstrate the distillation of Gaussian EPR steering in lossy
and noisy environment using measurement-based noiseless linear amplification.
Our scheme recovers the two-way steerability from one-way in certain region of
loss and enhances EPR steering for both directions. We also show that the
distilled EPR steering allows to extract secret key in one-sided
device-independent quantum key distribution. Our work paves the way for quantum
communication exploiting EPR steering in practical quantum channels
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