A New Theorem on the Nonclassicality of States

F. Shähandeh; M. R. Bazrafkan

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arXiv · 1204.3782

A New Theorem on the Nonclassicality of States

F. Shähandeh·M. R. Bazrafkan

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Abstract

A new theorem on the non-classicality depth of states has been proved. We show that if $W_{\hat ρ} (α_m,s_m)=0$ exist for some value of the ordering parameter $s$ at some phase-space point $α_m$, and if $W_{\hat ρ} (α,s_m)$ is an acceptable quasi-classical distribution, the non-classicality of $\hat ρ$ in parallel with Lee's non-classicality depth is then given by $τ_m=(1 - s_m)/2$. 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.

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BibTeX RIS

F. Shähandeh, M. R. Bazrafkan. 2012-06-07. A New Theorem on the Nonclassicality of States. https://arxiv.org/abs/1204.3782

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