Please help support CiteULike by taking part in our survey.
CiteULike is a free online bibliography manager. Register and you can start organising your references online.

Statistical distance and Hilbert space Export

Physical Review D, Vol. 23, No. 2. (Jan 1981), pp. 357-362.

Citation Format

[Posts]

View FullText article


X Reviews [Write a review of this article]

X Notes for this article

This group has 0 private notes and 1 public note for this article.

Contains key argument showing how the concept of the statistical distance in quantum mechanics is actually a very general idea that first arose in the study of genetic variation by Fisher. Thus the Hilbert space structure is not as arbitrary as thought. The question as to how the complex structure of H arises remains - this is likely due to geometrical considerations

tictacgo (public note) - 2009-03-27 17:01:05

X Find related articles from these CiteULike users

X Find related articles with these CiteULike tags

X Posting History

X Abstract

A concept of "statistical distance" is defined between different preparations of the same quantum system; or in other words; between different rays in the same Hilbert space. Statistical distance is determined entirely by the size of statistical fluctuations occurring in measurements designed to distinguish one state from another. It is not related; a priori ; to the usual distance (or angle) between rays. One finds; however; that these two kinds of distance are in fact the same; a result which depends on certain peculiarities of quantum mechanics.


X BibTeX record

X RIS record