Exact Bures probabilities that two quantum bits are classically correlated

  title={Exact Bures probabilities that two quantum bits are classically correlated},
  author={Paul B. Slater},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  • P. Slater
  • Published 12 November 1999
  • Physics
  • The European Physical Journal B - Condensed Matter and Complex Systems
Abstract:In previous studies, we have explored the ansatz that the volume elements of the Bures metrics over quantum systems might serve as prior distributions, in analogy with the (classical) Bayesian role of the volume elements (“Jeffreys' priors”) of Fisher information metrics. Continuing this work, we obtain exact Bures prior probabilities that the members of certain low-dimensional subsets of the fifteen-dimensional convex set of density matrices are separable or classically correlated… 

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LETTER TO THE EDITOR: Essentially all Gaussian two-party quantum states are a priori nonclassical but classically correlated

Duan et al (Duan L-M, Giedke G, Cirac J I and Zoller P 2000 Phys. Rev. Lett. 84 2722) and, independently, Simon (Simon R 2000 Phys. Rev. Lett. 84 2726) have recently found necessary and sufficient


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