PIRSA:07110032

Frame representations of quantum mechanics and the necessity of negativity in quasi-probability representations

(2007). Frame representations of quantum mechanics and the necessity of negativity in quasi-probability representations. Perimeter Institute. https://pirsa.org/07110032

Frame representations of quantum mechanics and the necessity of negativity in quasi-probability representations. Perimeter Institute, Nov. 20, 2007, https://pirsa.org/07110032 

          @misc{ pirsa_PIRSA:07110032,
            doi = {10.48660/07110032},
            url = {https://pirsa.org/07110032},
            author = {},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Frame representations of quantum mechanics and the necessity of negativity in quasi-probability representations},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {nov},
            note = {PIRSA:07110032 see, \url{https://pirsa.org}}
          }
Talk numberPIRSA:07110032
DOI10.48660/07110032
Collection
Talk Type Scientific Series
Subject

Abstract

Several finite dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined only on restricted dimensions and their physical significance in contexts such as drawing quantum-classical comparisons is limited by the non-uniqueness of the particular representation. Here we show how the mathematical theory of frames provides a unified formalism which accommodates all known quasi-probability representations of finite dimensional quantum systems.