English

On Quantum Statistical Inference, II

Quantum Physics 2011-11-09 v2 Probability Statistics Theory Statistics Theory

Abstract

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, theoretical developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates a number of new concepts for an extension of classical statistical inference to the quantum context.

Keywords

Cite

@article{arxiv.quant-ph/0307191,
  title  = {On Quantum Statistical Inference, II},
  author = {O. E. Barndorff-Nielsen and R. D. Gill and P. E. Jupp},
  journal= {arXiv preprint arXiv:quant-ph/0307191},
  year   = {2011}
}

Comments

This is the final version of quant-ph/0307189: half the length, some different material. Has appeared in JRSS B 65 (2003), with discussion