论文标题
通过互补通道和乘法域通过纠缠中断等级
Entanglement Breaking Rank via Complementary Channels and Multiplicative Domains
论文作者
论文摘要
可以通过多种方式来研究量子纠缠的理论，包括利用Choi-Jamilkowski同构，该异态构成具有可分离的状态，并以纠缠破裂的量子通道和最佳的配乐长度和纠缠范围的分支分布。乘法域是完全正面图理论中的重要操作员结构。我们介绍了一种新技术，以根据对由互补量子通道确定的乘法域的分析，确定通道是否正在纠缠破裂并评估纠缠破坏等级。我们对具有投影作为Choi矩阵的纠缠渠道的类别进行了完整描述，我们显示了此类渠道的纠缠破裂和Choi等级相等。
Quantum entanglement can be studied through the theory of completely positive maps in a number of ways, including by making use of the Choi-Jamilkowski isomorphism, which identifies separable states with entanglement breaking quantum channels, and optimal ensemble length with entanglement breaking rank. The multiplicative domain is an important operator structure in the theory of completely positive maps. We introduce a new technique to determine if a channel is entanglement breaking and to evaluate entanglement breaking rank, based on an analysis of multiplicative domains determined by complementary quantum channels. We give a full description of the class of entanglement breaking channels that have a projection as their Choi matrix, and we show the entanglement breaking and Choi ranks of such channels are equal.
