Framed Hilbert space: hanging the quasi-probability pictures of quantum theory

  title={Framed Hilbert space: hanging the quasi-probability pictures of quantum theory},
  author={Christopher Ferrie and Joseph Emerson},
  journal={New Journal of Physics},
Building on earlier work, we further develop a formalism based on the mathematical theory of frames that defines a set of possible phase-space or quasi-probability representations of finite-dimensional quantum systems. We prove that an alternate approach to defining a set of quasi-probability representations, based on a more natural generalization of a classical representation, is equivalent to our earlier approach based on frames, and therefore is also subject to our no-go theorem for a non… 

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