dorsal/arxiv
View SchemaNonclassicality and the concept of local constraints on the photon number distribution
| Authors | R. Simon, Mary Selvadoray, Arvind, N. Mukunda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708038 |
| URL | https://arxiv.org/abs/quant-ph/9708038 |
Abstract
We exploit results from the classical Stieltjes moment problem to bring out the totality of all the information regarding phase insensitive nonclassicality of a state as captured by the photon number distribution p_n. Central to our approach is the realization that n !p_n constitutes the sequence of moments of a (quasi) probability distribution, notwithstanding the fact that p_n can by itself be regarded as a probability distribution. This leads to classicality restrictions on p_n that are local in n involving p_n's for only a small number of consecutive n's, enabling a critical examination of the conjecture that oscillation in p_n is a signature of nonclassicality.
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"abstract": "We exploit results from the classical Stieltjes moment problem to bring out\nthe totality of all the information regarding phase insensitive nonclassicality\nof a state as captured by the photon number distribution p_n. Central to our\napproach is the realization that n !p_n constitutes the sequence of moments of\na (quasi) probability distribution, notwithstanding the fact that p_n can by\nitself be regarded as a probability distribution. This leads to classicality\nrestrictions on p_n that are local in n involving p_n\u0027s for only a small number\nof consecutive n\u0027s, enabling a critical examination of the conjecture that\noscillation in p_n is a signature of nonclassicality.",
"arxiv_id": "quant-ph/9708038",
"authors": [
"R. Simon",
"Mary Selvadoray",
"Arvind",
"N. Mukunda"
],
"categories": [
"quant-ph"
],
"title": "Nonclassicality and the concept of local constraints on the photon number distribution",
"url": "https://arxiv.org/abs/quant-ph/9708038"
},
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