Symmetries and inference in quantum information processing

Symmetries and inference in quantum information processing

Seminar author:Marco Fanizza

Event date and time:07/02/2019 12:00:pm

Event location:

Event contact:

I will present new results on the problem of estimating the overlap of two arbitrary quantum states in any finite dimension, given any number of copies of each of them. This problem is of wide interest for applications in quantum technologies and our study provides a full characterization of the optimal strategy, as well as several natural (sub-optimal) strategies including the widely used swap-test. I will also review a powerful graphical method based on the recoupling theory of SU(2), which proved very useful for our study. 

I will also discuss information processing on channels with quantum side information. Finally, I will show new bounds on the capacities of spin network channels with arbitrary encodings, based on the Lieb-Robinson inequality.