导引破坏信道与不相容性破坏信道的忠实认证
Faithful certification of steering- and incompatibility-breaking channels
- National Chung Hsing University（国立中兴大学）
- Technische Universität München（慕尼黑工业大学）
- National Center for Theoretical Sciences（国家理论科学中心）
- National Cheng Kung University（国立成功大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出利用已有方法忠实认证量子信道是否破坏导引性或测量不相容性，并给出实验判据，解决了无限测量组合下的验证难题。
AI中文摘要：
我们考虑一个量子导引场景，其中Alice制备一个双粒子态，通过一个量子信道将一个子系统发送给Bob，并旨在使他相信他们共享的态是纠缠的。然而，如果该信道是导引破坏的，即信道对任何输入态都破坏导引性，Bob将永远不会被说服。为了验证一个信道使态无法用于展示导引，必须考虑Alice执行的所有可能测量，并检查Bob接收到的条件态是否允许局部隐态（LHS）模型。这通常是一个难题，因为它需要考虑无限多种测量组合。在这里，我们表明，[Phys. Rev. Lett. 117, 190401 (2016); Phys. Rev. Lett. 117, 190402 (2016)]中提出的方法可用于解决此问题。此外，由于导引与测量不相容性之间的密切关系，我们的方法能够忠实地认证一个信道是否对任何测量集合破坏不相容性。最后，我们提出了一个用于认证导引破坏和不相容性破坏信道的实验判据，这可能具有独立的意义。
英文摘要：
We consider a quantum steering scenario where Alice prepares a bipartite state, sends one subsystem to Bob through a quantum channel, and aims to convince him that their shared state is entangled. Bob, however, will never be convinced if the channel is steering-breaking, that is, if the channel destroys steerability for any input state. To verify that a channel renders a state useless for demonstrating steering, one must consider all possible measurements performed by Alice and check if the conditional states Bob receives admit a local-hidden-state (LHS) model. This is generally a hard problem since it requires considering an infinite number of measurement combinations. Here, we show that the method proposed in [Phys. Rev. Lett. 117, 190401 (2016); Phys. Rev. Lett. 117, 190402 (2016)] can be utilized to tackle this problem. Furthermore, owing to the intimate relation between steering and measurement incompatibility, our approach can faithfully certify whether a channel destroys incompatibility for any set of measurements. Finally, we propose an experimental criterion for certifying steering- and incompatibility-breaking channels, which may be of independent interest.
