Quantum mechanics as a calculus for estimation under epistemic restriction

@article{Budiyono2019QuantumMA,
  title={Quantum mechanics as a calculus for estimation under epistemic restriction},
  author={Agung Budiyono},
  journal={Physical Review A},
  year={2019},
  volume={100}
}
  • A. Budiyono
  • Published 2 December 2019
  • Mathematics
  • Physical Review A
Consider a statistical model with an epistemic restriction such that, unlike in classical mechanics, the allowed distribution of positions is fundamentally restricted by the form of an underlying momentum field. Assume an agent (observer) who wishes to estimate the momentum field given information on the conjugate positions. We discuss a classically consistent, weakly unbiased, best estimation of the momentum field minimizing the mean squared error, based on which the abstract mathematical… 

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