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Quantum properties of classical Fisher information

1999/12/13 by Michael J. W. Hall · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.62.012107

published as Physical Review A 62 (2000) 012107 (6pp.) · 16 pages

arxiv created 1999/12/13 · arxiv updated 2009/12/01

Abstract

The Fisher information of a quantum observable is shown to be proportional to both (i) the difference of a quantum and a classical variance, thus providing a measure of nonclassicality; and (ii) the rate of entropy increase under Gaussian diffusion, thus providing a measure of robustness. The joint nonclassicality of position and momentum observables is shown to be complementary to their joint robustness in an exact sense.

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