Phys. Rev. D 23, 357–362 (1981)Statistical distance and Hilbert spaceReceived 2 September 1980; published in the issue dated 15 January 1981 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. © 1981 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.23.357
DOI:
10.1103/PhysRevD.23.357
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