{ "id": "1204.3782", "version": "v2", "published": "2012-04-17T12:47:00.000Z", "updated": "2012-06-07T07:38:52.000Z", "title": "A New Theorem on the Nonclassicality of States", "authors": [ "F. Shähandeh", "M. R. Bazrafkan" ], "categories": [ "quant-ph" ], "abstract": "A new theorem on the non-classicality depth of states has been proved. We show that if $W_{\\hat \\rho} (\\alpha_m,s_m)=0$ exist for some value of the ordering parameter $s$ at some phase-space point $\\alpha_m$, and if $W_{\\hat \\rho} (\\alpha,s_m)$ is an acceptable quasi-classical distribution, the non-classicality of $\\hat \\rho$ in parallel with Lee's non-classicality depth is then given by $\\tau_m=(1 - s_m)/2$. In this way, a general examination of the effects of the single-photon-addition and -subtraction operations has been studied. The theorem, indeed, provides a theoretical background for generating quantum states of arbitrary non-classicality depth.", "revisions": [ { "version": "v2", "updated": "2012-06-07T07:38:52.000Z" } ], "analyses": { "keywords": [ "nonclassicality", "arbitrary non-classicality depth", "lees non-classicality depth", "phase-space point", "general examination" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1204.3782S" } } }