Statistical distance and the geometry of quantum states

Samuel L. Braunstein and Carlton M. Caves
Phys. Rev. Lett. 72, 3439 – Published 30 May 1994
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Abstract

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.

  • Received 11 February 1994

DOI:https://doi.org/10.1103/PhysRevLett.72.3439

©1994 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 72, Iss. 22 — 30 May 1994

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