论文标题
普遍的保利频道的几何形状
Geometry of generalized Pauli channels
论文作者
论文摘要
我们分析了从互无偏基构建的广义保利通道的几何形状。 Choi-jamiołkowski同构使我们能够根据广义Pauli地图的特征值表达希尔伯特 - 史密斯线和量元素。在确定了适当的整合区域之后，我们通过分析计算广义的Pauli通道及其重要子类的数量。特别是，我们获得了可以由合法发电机生成的广义保利渠道的数量，并且正在纠缠破裂。我们还提供了上限，用于积极，痕量保存广义的保利地图的体积。
We analyze the geometry of the generalized Pauli channels constructed from the mutually unbiased bases. The Choi-Jamiołkowski isomorphism allows us to express the Hilbert-Schmidt line and volume elements in terms of the eigenvalues of the generalized Pauli maps. After determining appropriate regions of integration, we analytically compute the volume of generalized Pauli channels and their important subclasses. In particular, we obtain the volumes of the generalized Pauli channels that can be generated by a legitimate generator and are entanglement breaking. We also provide the upper bound for the volume of positive, trace-preserving generalized Pauli maps.
