Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	孙源博士，南京师范大学
Inviter:
Title:	The uncertainty of quantum channels in terms of variance
Time & Venue:	2021.01.12 10:00-11:00 腾讯会议号：155 105 800
Abstract:	By use of the generalized variance for any operator (not necessarily Hermitian), we introduce the uncertainty of quantum channels as the sum of the generalized variances for the Kraus operators of quantum channels and prove that it satisfies several desirable properties. Then we establish two trade-off relations between the uncertainty of quantum channels and the entanglement fidelity which is introduced by Schumacher [Phys. Rev. A 54, 2614 (1996)] and quantifies how well the channel preserves the entanglement between the input state and the auxiliary system for purification. Finally, we illustrate the uncertainty of quantum channels through some typical examples.