论文标题

多目标子空间不包含本地无法访问的信息

Multi-partite subspaces containing no locally inaccessible information

论文作者

Croke, Sarah

论文摘要

量子理论中非本地性的一个概念是,即使在经典交流的帮助下,信息也可以通过本地测量无法访问,以使信息可以在复合系统中编码。因此,与经典案例相反,在量子中存在信息,许多人体系统无法在本地访问。但是,我们表明,值得注意的是,二维子空间没有此属性:无论纠缠或多目标结构如何,对任何二维子空间中编码的信息进行物理允许的测量,都可以在本地进行。此外,这仅需要在许多实验平台中很容易实现的经典信息的局部测量和前进。作为量子秘密共享的应用程序,我们建议对众所周知的量子信息分裂协议进行扭曲,该协议可确保没有接收方可以访问已发送的完整状态,但是当事方必须共同努力以对该州进行测量。这些结果可能在测量编码量子位的测量中具有实际应用。量子秘密共享,量子误差校正并揭示了二维子空间独有的基本属性。

One notion of non-locality in quantum theory is the fact that information may be encoded in a composite system in such a way that it is not accessible through local measurements, even with the assistance of classical communication. Thus, contrary to the classical case, there exists information in quantum many body systems which cannot be accessed locally. We show however that, remarkably, two-dimensional subspaces do not have this property: any physically allowed measurement on information encoded in any two-dimensional subspace, regardless of entanglement or multi-partite structure, may be performed locally. Further, this requires only local measurement and feed-forward of classical information, readily achievable in many experimental platforms. As an application to quantum secret sharing we suggest a twist on a well known quantum information splitting protocol, which ensures that no receiving party ever has access to the full state sent, but parties must work together to perform measurements on the state. These results may have practical applications to the measurement of encoded qubits in e.g. quantum secret sharing, quantum error correction, and reveal a fundamental property unique to two-dimensional subspaces.

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