Statistical distance and the geometry of quantum states

SL BRAUNSTEIN; CM CAVES

doi:0.1103/PhysRevLett.72.3439

Statistical distance and the geometry of quantum states

SL BRAUNSTEIN, CM CAVES

Computer Science

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3439-3443
Number of pages	5
Journal	Physical Review Letters
Volume	72
Issue number	22
DOIs	https://doi.org/0.1103/PhysRevLett.72.3439
Publication status	Published - 30 May 1994

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0.1103/PhysRevLett.72.3439

Cite this

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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.",

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