量子操纵的超激活
Super-Activation of Quantum Steering
摘要:
我们认为Einstein-Podolsky-Rosen操纵的制度,各方可以执行集体测量的许多副本一个给定的共享纠缠态。我们导出了一个简单有效的条件,保证纠缠态是$k$ -拷贝可操纵的。特别地,我们证明了任何两量子比特和量子比特-量子纠缠态都是$k$ -拷贝可控的。这使我们能够讨论转向的超激活的效果,由此不可转向的纠缠态(即,允许局部隐藏状态模型)变为$k$ -拷贝可操纵。我们提供的例子有几个副本和低维。我们的研究结果证明了纠缠和转向在多拷贝机制中是等价的。
英文摘要:
We consider Einstein-Podolsky-Rosen steering in the regime where the parties can perform collective measurements on many copies of a given shared entangled state. We derive a simple and efficient condition for guaranteeing that an entangled state is $k$-copy steerable. In particular we show that any two-qubit and qubit-qutrit entangled states is $k$-copy steerable. This allows us to discuss the effect of super-activation of steering, whereby an entangled state that is unsteerable (i.e., admits a local hidden state model) in the one-copy regime becomes $k$-copy steerable. We provide examples with few copies and low dimensions. Our results give evidence that entanglement and steering could become equivalent in the multi-copy regime.
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