PIRSA:10070015

Random Quantum Repeated Interactions and Random Invariant states

Pellegrini, C. (2010). Random Quantum Repeated Interactions and Random Invariant states. Perimeter Institute. https://pirsa.org/10070015

Pellegrini, Clement. Random Quantum Repeated Interactions and Random Invariant states. Perimeter Institute, Jul. 05, 2010, https://pirsa.org/10070015 

          @misc{ pirsa_PIRSA:10070015,
            doi = {10.48660/10070015},
            url = {https://pirsa.org/10070015},
            author = {Pellegrini, Clement},
            keywords = {},
            language = {en},
            title = {Random Quantum Repeated Interactions and Random Invariant states},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {jul},
            note = {PIRSA:10070015 see, \url{https://pirsa.org}}
          }

Clement Pellegrini Université Toulouse III - Paul Sabatier

DOI 10.48660/10070015
Collection
Talk Type Conference

Abstract

Within the framework of quantum repeated interactions we investigate the large time behaviour of random quantum channel. We focus on generic quantum channels generated by unitary operators which are randomly distributed along the Haar measure. After studying the spectrum of these channels, we state a convergence result for the iterations of generic channels. This allows to define a set of random quantum states called ''asymptotic induced ensemble''.