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Phys. Rev. Lett. 72, 3439–3443 (1994)

Statistical distance and the geometry of quantum states

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Samuel L. Braunstein and Carlton M. Caves
Center for Advanced Studies, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131-1156

Received 11 February 1994; published in the issue dated 30 May 1994

By finding measurements that optimally resolve neighboring quantum states, we use statistical distinguishability to define a natural Riemannian metric on the space of quantum-mechanical density operators and to formulate uncertainty principles that are more general and more stringent than standard uncertainty principles.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.3439
DOI:
10.1103/PhysRevLett.72.3439
PACS:
03.65.Bz, 02.50.-r, 89.70.+c