PIRSA:07110027

Symmetry and global independence in classical and quantum theories

Toner, B. (2007). Symmetry and global independence in classical and quantum theories. Perimeter Institute. https://pirsa.org/07110027

Toner, Ben. Symmetry and global independence in classical and quantum theories. Perimeter Institute, Nov. 07, 2007, https://pirsa.org/07110027 

          @misc{ pirsa_PIRSA:07110027,
            doi = {10.48660/07110027},
            url = {https://pirsa.org/07110027},
            author = {Toner, Ben},
            keywords = {Quantum Information},
            language = {en},
            title = {Symmetry and global independence in classical and quantum theories},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {nov},
            note = {PIRSA:07110027 see, \url{https://pirsa.org}}
          }

Ben Toner Centrum Wiskunde & Informatica

DOI 10.48660/07110027
Collection
Talk Type Scientific Series
Subject

Abstract

Renner\'s global quantum de Finetti theorem establishes that if the state of a quantum system is invariant under permutations of its systems, then almost all of its subsystems are almost in the same state and independent of each other. Motivated by this result, we show that the most straightforward classical analogue of Renner\'s theorem is false. Joint work with Matthias Christandl (Cambridge).