dorsal/arxiv
View SchemaQuantum properties of classical Fisher information
| Authors | Michael J. W. Hall |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912055 |
| URL | https://arxiv.org/abs/quant-ph/9912055 |
| DOI | 10.1103/PhysRevA.62.012107 |
| Journal | Physical Review A 62 (2000) 012107 (6pp.) |
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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"abstract": "The Fisher information of a quantum observable is shown to be proportional to\nboth (i) the difference of a quantum and a classical variance, thus providing a\nmeasure of nonclassicality; and (ii) the rate of entropy increase under\nGaussian diffusion, thus providing a measure of robustness. The joint\nnonclassicality of position and momentum observables is shown to be\ncomplementary to their joint robustness in an exact sense.",
"arxiv_id": "quant-ph/9912055",
"authors": [
"Michael J. W. Hall"
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"doi": "10.1103/PhysRevA.62.012107",
"journal_ref": "Physical Review A 62 (2000) 012107 (6pp.)",
"title": "Quantum properties of classical Fisher information",
"url": "https://arxiv.org/abs/quant-ph/9912055"
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