报告人：李茂生 副教授 华南理工大学
时间：11月15日上午9:00-10:00
地点：数学与信息学院数字系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.
报告人简介：李茂生，2019年获清华大学理学博士学位，毕业后在南方科技大学做博士后，2021年在华南理工大学任副教授。主要从事超越数论和量子信息理论方面的研究。至今已在PRA、NJP、JPA等国际刊物发表论文30余篇，主持博士后基金、国家自然科学基金青年基金和面上基金项目各1项。
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