dorsal/arxiv
View SchemaClassicality and anticlassicality measures of pure and mixed quantum states
| Authors | V. V. Dodonov, M. B. Reno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302019 |
| URL | https://arxiv.org/abs/quant-ph/0302019 |
| DOI | 10.1016/S0375-9601(03)00066-5 |
| Journal | Phys. Lett. A, v.308, no.4, p.249-255 (2003) |
Abstract
We introduce a simple measure of "classicality" of pure and mixed quantum states as a maximum value of the Hilbert-Schmidt "scalar products" between the renormalized statistical operators of the state concerned and all displaced thermal states. Choosing Fock states as the reference set, we introduce the measure of "anticlassicality". Both measures are illustrated for the Fock, coherent phase, and generic mixed Gaussian states. Gaussian states are shown to be the closest to thermal states possessing the same degree of quantum purity. On the contrary, Fock states appear to be more close to mixed thermal states than to pure coherent states.
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"abstract": "We introduce a simple measure of \"classicality\" of pure and mixed quantum\nstates as a maximum value of the Hilbert-Schmidt \"scalar products\" between the\nrenormalized statistical operators of the state concerned and all displaced\nthermal states. Choosing Fock states as the reference set, we introduce the\nmeasure of \"anticlassicality\". Both measures are illustrated for the Fock,\ncoherent phase, and generic mixed Gaussian states. Gaussian states are shown to\nbe the closest to thermal states possessing the same degree of quantum purity.\nOn the contrary, Fock states appear to be more close to mixed thermal states\nthan to pure coherent states.",
"arxiv_id": "quant-ph/0302019",
"authors": [
"V. V. Dodonov",
"M. B. Reno"
],
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"quant-ph"
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"doi": "10.1016/S0375-9601(03)00066-5",
"journal_ref": "Phys. Lett. A, v.308, no.4, p.249-255 (2003)",
"title": "Classicality and anticlassicality measures of pure and mixed quantum states",
"url": "https://arxiv.org/abs/quant-ph/0302019"
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