论文标题

多部分量子系统特征的均匀连续性边界

Uniform continuity bounds for characteristics of multipartite quantum systems

论文作者

Shirokov, M. E.

论文摘要

我们考虑用于获得多部分量子系统特征的(均匀)连续性边界的通用方法。我们特别注意在能量限制下,无限二的多部分量子系统。 通过这些方法,我们获得了多部分量子状态的几个重要特征的连续性界限:量子(条件)互信息,壁板纠缠,c式纠缠和相互信息的条件纠缠。对于大尺寸/能量,多部分量子相互信息的连续性边界在渐近上是紧密的。 获得的结果用于证明$ n $ - 分式壁板纠缠,c式纠缠的渐近连续性以及在能量约束下互相信息的条件纠缠。

We consider universal methods for obtaining (uniform) continuity bounds for characteristics of multipartite quantum systems. We pay a special attention to infinite-dimensional multipartite quantum systems under the energy constraints. By these methods we obtain continuity bounds for several important characteristics of a multipartite quantum state: the quantum (conditional) mutual information, the squashed entanglement, the c-squashed entanglement and the conditional entanglement of mutual information. The continuity bounds for the multipartite quantum mutual information are asymptotically tight for large dimension/energy. The obtained results are used to prove the asymptotic continuity of the $n$-partite squashed entanglement, c-squashed entanglement and the conditional entanglement of mutual information under the energy constraints.

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