Approximation States and Fixed Points of Quantum Channels

Speaker: 李愿教授，陕西师范大学        

Inviter: 骆顺龙研究员

Title: Approximation States and Fixed Points of Quantum Channels 

Language: Chinese 

Time & Venue: 2025.02.17 13:30-14:30  腾讯会议：168-347-349

Abstract: In this talk, we extend some results on positive and completely positive trace-preserving maps (called quantum channels) from finite-dimensional to infinite-dimensional Hilbert space. Specifically, we mainly consider whether a fixed state of a quantum channel exists. We show that there exist approximation states for every quantum channel. In particular, there is a quantum channel, which has not a fixed state in the case of an infinite-dimensional Hilbert space.