论文标题
通过部分订单和互补性来界限量子能力
Bounding quantum capacities via partial orders and complementarity
论文作者
论文摘要
量子能力是基本数量，众所周知，很难计算，并且可以表现出令人惊讶的特性，例如超级效果。因此，大量文献致力于在这些能力上找到紧密而可计算的界限。我们通过在多个容量上给出了以操作为动机的界限，包括量子通道的量子容量和私人容量以及量子状态的单向蒸馏纠缠和私钥，添加了一个新的观点。这些界限通常以涉及互补渠道或状态的能力数量为单位。作为获得这些界限的工具，我们讨论了量子通道和状态的部分订单，例如噪音较小和更有能力的顺序。我们的界限有助于进一步理解不同能力之间的相互作用，因为它们在互补渠道或州的信息理论特性方面对超级认真的操作限制以及能力之间的差异。这些示例也可以用作一种新的方法来实现数字边界能力的方法。
Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature is devoted to finding tight and computable bounds on these capacities. We add a new viewpoint by giving operationally motivated bounds on several capacities, including the quantum capacity and private capacity of a quantum channel and the one-way distillable entanglement and private key of a quantum state. These bounds are generally phrased in terms of capacity quantities involving the complementary channel or state. As a tool to obtain these bounds, we discuss partial orders on quantum channels and states, such as the less noisy and the more capable order. Our bounds help to further understand the interplay between different capacities, as they give operational limitations on superadditivity and the difference between capacities in terms of the information-theoretic properties of the complementary channel or state. They can also be used as a new approach towards numerically bounding capacities, as discussed with some examples.
