Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	李茂生副教授，华南理工大学数学学院
Inviter:
Title:	Properties on Mixing Generalized Pauli Channels
Language:	Chinese
Time & Venue:	2023.05.26 13:30-14:30 腾讯会议：145-789-921
Abstract:	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.