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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
67/2018

Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance

Xiao-Bin Liang, Bo Li, Biao-Liang Ye, Shao-Ming Fei and Xianqing Li-Jost

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 $B_2$-distance of an arbitrary target state. Both the analytical formulae of the $B_2$-distance and the corresponding complete optimal decompositions are obtained. The tradeoff relations for both the sum and the squared sum of the $B_2$-distances have been analytically and numerically investigated.

Received:
Aug 20, 2018
Published:
Aug 28, 2018

Related publications

inJournal
2018 Journal Open Access
Xiao-Bin Liang, Bo Li, Biao-Liang Ye, Shao-Ming Fei and Xianqing Li-Jost

Complete optimal convex approximations of qubit states under \(B_2\) distance

In: Quantum information processing, 17 (2018) 7, p. 185