论文标题

协变量保利频道的能力

Capacities of the covariant Pauli channel

论文作者

Poshtvan, Abbas, Karimipour, Vahid

论文摘要

我们研究了两个参数Qubit Pauli频道家族的四个著名能力。这些是在SO(2)组下协变的通道,并包含去极化通道作为特殊情况。我们发现经典能力和纠缠辅助能力的精确表达式,并通过分析确定通道的量子能力消失的区域。然后,我们使用标志扩展名来找到这些通道在整个参数空间区域中的量子容量和私人容量的上限,并通过计算单个射击量子能力数值来获得量子容量的下限。结合了去极化通道的先前结果,我们的结果是确定完整Pauli通道能力的前进一步。

We study the four well-known capacities of a two-parameter family of qubit Pauli channels. These are the channels which are covariant under the SO(2) group and contain the depolarizing channel as a special case. We find exact expressions for the classical capacity and entanglement assisted capacities, and analytically determine the regions where the quantum capacity of the channel vanishes. We then use a flag extension to find upper bound for the quantum capacity and private capacity of these channels in the entire region of parameter space and also obtain the lower bound for the quantum capacity by calculating the single shot quantum capacity numerically. In conjunction with previous results on depolarizing channels, our result is one step forward for determining the capacities of the full Pauli channel.

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