Complete classification of steerability under local filters and its relation with measurement incompatibility

Huan Yu Ku, Chung Yun Hsieh, Shin Liang Chen, Yueh Nan Chen, Costantino Budroni

研究成果: Article同行評審

23 引文 斯高帕斯(Scopus)

摘要

Quantum steering is a central resource for one-sided device-independent quantum information. It is manipulated via one-way local operations and classical communication, such as local filtering on the trusted party. Here, we provide a necessary and sufficient condition for a steering assemblage to be transformable into another via local filtering. We characterize the equivalence classes with respect to filters in terms of the steering equivalent observables (SEO), first proposed to connect the problem of steerability and measurement incompatibility. We provide an efficient method to compute the extractable steerability that is maximal via local filters and show that it coincides with the incompatibility of the SEO. Moreover, we show that there always exists a bipartite state that provides an assemblage with steerability equal to the incompatibility of the measurements on the untrusted party. Finally, we investigate the optimal success probability and rates for transformation protocols (distillation and dilution) in the single-shot scenario together with examples.

原文English
文章編號4973
期刊Nature communications
13
發行號1
DOIs
出版狀態Published - 2022 12月

All Science Journal Classification (ASJC) codes

  • 一般化學
  • 一般生物化學,遺傳學和分子生物學
  • 一般物理與天文學

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