English

A Bayesian quasi-probability approach to inferring the past of quantum observables

Quantum Physics 2014-04-02 v2

Abstract

I describe a method of inferring the past of quantum observables given the initial state and the subsequent measurement results using Wigner quasi-probability representations. The method is proved to be compatible with logic for large subclasses of quantum systems, including those that involve incompatible observables and can still exhibit some quantum features, such as the uncertainty relation, measurement backaction, and entanglement.

Keywords

Cite

@article{arxiv.1403.3353,
  title  = {A Bayesian quasi-probability approach to inferring the past of quantum observables},
  author = {Mankei Tsang},
  journal= {arXiv preprint arXiv:1403.3353},
  year   = {2014}
}

Comments

v2: 10 pages, 6 figures, expanded and improved the proof and the discussions, added more examples, figures, and references