Quantum state tomography from yes/no measurements

          @misc{ scivideos_PIRSA:08100070,
            doi = {10.48660/08100070},
            url = {https://pirsa.org/08100070},
            author = {Roetteler, Martin},
            keywords = {Quantum Information, Quantum Foundations},
            language = {en},
            title = {Quantum state tomography from yes/no measurements},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2008},
            month = {oct},
            note = {PIRSA:08100070 see, \url{https://scivideos.org/pirsa/08100070}}
          }
          

Abstract

Abstract: Adapting the concept of Wigner functions to finite dimensional systems is no simple matter. Basic issues with existing proposals are that they are either over-complete in the sense that the degrees of freedom in the Wigner function does not match the degrees of freedom in the original density matrix, or that they work only for restricted dimensions, namely for prime powers. We propose a new way to define a Wigner function and associated quantum phase space for some non-prime power dimensions. This allows to perform quantum state tomography from the measurement statistics of a minimal number of yes/no measurements.