報告人：李茂生 副教授 華南理工大學

時間：11月15日上午9:00-10:00

地點：數(shù)學與信息學院數(shù)字系715室 

摘要：There is an intuition from literature: every generalized Pauli channel of dimensional d could be written as (d + 1) generalized Pauli dephasing channels (see [Phys. Rev. A 103, 022605 (2021)] as a reference). Surprisingly, we show that this intuition comes out not be true which motivates us to study the properties of a convex combinations of generalized Pauli channels instead of only considering just (d+1) generalized Pauli dephasing channels. We show that several properties known previously do preserve in this general setting. For example, any mixture of invertible generalized Pauli channels is still invertible. Moreover, we show that every Pauli channel (d = 2) can be written as a mixture of (d + 1) Pauli dephasing channels and its generalizations to higher dimension do not hold, which provides a fundamental difference between the qubit and general qudit cases. Unlike the previously known properties, we show that the noninvertibility of the mixing channels is not necessary to ensure the resultant map to form a Markovian semigroup.

報告人簡介：李茂生，2019年獲清華大學理學博士學位，畢業(yè)后在南方科技大學做博士后,，2021年在華南理工大學任副教授。主要從事超越數(shù)論和量子信息理論方面的研究,。至今已在PRA、NJP,、JPA等國際刊物發(fā)表論文30余篇,，主持博士后基金、國家自然科學基金青年基金和面上基金項目各1項,。

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