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

Physical Review Letters
 Pub Date:
 May 1994
 DOI:
 10.1103/PhysRevLett.72.3439
 Bibcode:
 1994PhRvL..72.3439B
 Keywords:

 03.65.Bz;
 02.50.r;
 89.70.+c;
 Probability theory stochastic processes and statistics;
 Information theory and communication theory