Phys. Rev. A 55, 1695–1702 (1997)Information and metrics in Hilbert spaceReceived 13 June 1996; published in the issue dated March 1997 The concept of distance in Hilbert space is relevant in a variety of scenarios, in particular for investigating the quality of different approximations. In this work we study the relations between (i) statistical distances (SD) on a probability space, on the one hand, and (ii) different metrics on Hilbert space (MHS), on the other hand. As a result, we are able to establish some universal relations between SD and MHS and to apply them to one-dimensional problems. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.55.1695
DOI:
10.1103/PhysRevA.55.1695
PACS:
03.65.-w, 05.30.-d
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