Conciliation of Bayes and Pointwise Quantum State Estimation: Asymptotic information bounds in quantum statistics

  title={Conciliation of Bayes and Pointwise Quantum State Estimation: Asymptotic information bounds in quantum statistics},
  author={R. Gill},
  journal={arXiv: Statistics Theory},
  • R. Gill
  • Published 2005
  • Mathematics, Physics
  • arXiv: Statistics Theory
  • We derive an asymptotic lower bound on the Bayes risk when N identical quantum systems whose state depends on a vector of unknown parameters are jointly measured in an arbitrary way and the parameters of interest estimated on the basis of the resulting data. The bound is an integrated version of a quantum Cram\'er-Rao bound due to Holevo (1982), and it thereby links the fixed N exact Bayesian optimality usually pursued in the physics literature with the pointwise asymptotic optimality favoured… CONTINUE READING
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