相位协变量子比特通道的几何结构

IF 1.1 Q3 PHYSICS, MULTIDISCIPLINARY

Journal of Physics Communications Pub Date : 2022-10-31 DOI:10.1088/2399-6528/ace0f4

Katarzyna Siudzi'nska

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引用次数: 0

摘要

本文分析了非一元相位协变量子比特映射空间的几何性质。利用相应的Choi-Jamiołkowski状态，我们利用通道特征值和表征非酉性的参数推导出Hilbert-Schmidt线和体积元。我们找到了相位协变信道的形状并解析计算了它们的体积，特别是用时间局部发生器可以获得的纠缠破缺。

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Geometry of phase-covariant qubit channels

We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamiołkowski states, we derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. We find the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators.

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