Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance
Quantum Physics
2018-06-14 v1
Abstract
We consider the optimal approximation of arbitrary qubit states with respect to an available states consisting the eigenstates of two of three Pauli matrices, the -distance of an arbitrary target state. Both the analytical formulae of the -distance and the corresponding complete optimal decompositions are obtained. The tradeoff relations for both the sum and the squared sum of the -distances have been analytically and numerically investigated.
Keywords
Cite
@article{arxiv.1806.05080,
title = {Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance},
author = {Xiao-Bin Liang and Bo Li and Biao-Liang Ye and Shao-Ming Fei and XianQing Li-Jost},
journal= {arXiv preprint arXiv:1806.05080},
year = {2018}
}
Comments
8 pages, 5 figures