Statistical distance and the geometry of quantum states
- 30 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (22) , 3439-3443
- https://doi.org/10.1103/physrevlett.72.3439
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.Keywords
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