Computing stabilized norms for quantum operations via the theory of completely bounded maps
Computing stabilized norms for quantum operations via the theory of completely bounded maps
复制标题
通过完全有界映射理论计算量子运算的稳定范数
DOI：
10.26421/qic9.1-2-2
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发表时间：
2007
影响因子：
1
通讯作者：
V. Paulsen
中科院分区：
文献类型：
--
作者：
N. Johnston;D. Kribs;V. Paulsen
线性映射的菱形范数和完全有界范数在量子信息科学中发挥着越来越重要的作用，为量子运算的差异提供了基本的稳定距离度量。基于完全有界映射理论，给出了一种计算任意线性映射范数的算法。我们提出了一个用Maple实现的算法，讨论了它的效率，并考虑了酉映射差异的情况。
The diamond and completely bounded norms for linear maps play an increasingly important role in quantum information science, providing fundamental stabilized distance measures for differences of quantum operations. Based on the theory of completely bounded maps, we formulate an algorithm to compute the norm of an arbitrary linear map. We present an implementation of the algorithm via Maple, discuss its efficiency, and consider the case of differences of unitary maps.