PIRSA:10070021

Random matrices and random quantum channels

APA

Collins, B. (2010). Random matrices and random quantum channels. Perimeter Institute. https://pirsa.org/10070021

MLA

Collins, Benoit. Random matrices and random quantum channels. Perimeter Institute, Jul. 06, 2010, https://pirsa.org/10070021

BibTex

          @misc{ pirsa_10070021,
            doi = {},
            url = {https://pirsa.org/10070021},
            author = {Collins, Benoit},
            keywords = {},
            language = {en},
            title = {Random matrices and random quantum channels},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {jul},
            note = {PIRSA:10070021 see, \url{https://pirsa.org}}
          }
          

Abstract

In this talk I will describe how random matrix theory and free probability theory (and in particular, results of Haagerup and Thorbjornsen) can give insight into the problem of understanding all possible eigenvalues of the output of important classes of random quantum channels. I will also describe applications to the minimum output entropy additivity problems.