${\theta_{\textsc{a}}}$ and ${\theta_{\textsc{b}}}$. The reduced tomogram for subsystem A is $$\begin{aligned}
\nonumber w_{\textsc{a}}(X_{{\theta_{\textsc{a}}}},{\theta_{\textsc{a}}}) & = \int_{-\infty}^{\infty} \rmd X_{{\theta_{\textsc{b}}}} w(X_{{\theta_{\textsc{a}}}},{\theta_{\textsc{a}}};X_{{\theta_{\textsc{b}}}},{\theta_{\textsc{b}}})\\[4pt]
& = \bra{X_{{\theta_{\textsc{a}}}},{\theta_{\textsc{a}}}} \rho_{\textsc{a}} \ket{X_{{\theta_{\textsc{a}}}},{\theta_{\textsc{a}}}},
\label{eqn:RedTomo}\end{aligned}$$ where $\rho_{\textsc{a}}=\mathrm{Tr_{B}}\,(\rho_{\textsc{ab}})$ is the corresponding reduced density matrix. A similar definition holds for subsystem B. In order to estimate the degree of correlation between the subsystems, we use the following tomographic entropies. The bipartite tomographic entropy is given by $$\begin{aligned}
\nonumber S({\theta_{\textsc{a}}},{\theta_{\textsc{b}}}) = - & \int_{-\infty}^{\infty} \, \rmd X_{{\theta_{\textsc{a}}}} \int_{-\infty}^{\infty} \, \rmd X_{{\theta_{\textsc{b}}}} w(X_{{\theta_{\textsc{a}}}},{\theta_{\textsc{a}}};X_{{\theta_{\textsc{b}}}},{\theta_{\textsc{b}}})\,\times \\[4pt] 
 & \log_{2} \, w(X_{{\theta_{\textsc{a}}}},{\theta_{\textsc{a}}};X_{{\theta_{\textsc{b}}}},{\theta_{\textsc{b}}}).
\label{eqn:2modeEntropy}\end{aligned}$$ The subsystem tomographic entropy is $$\begin{aligned}
S(\theta_{i}) = - &\int_{-\infty}^{\infty} \!\rmd X_{\theta_{i}} w_{i}(X_{\theta_{i}},\theta_{i}) \log_{2} \,[w_{i}(X_{\theta_{i}},\theta_{i})] \;\; (i= \textsc{A,B}).
\label{eqn:1modeEntropy}\end{aligned}$$ Some of the correlators that we examine in this paper are obtained from a section of the tomogram corresponding to specific values of ${\theta_{\textsc{a}}}$ and ${\theta_{\textsc{b}}}$. The efficacy of such a correlator as a measure of entanglement is therefore sensitive to the choice of the tomographic section. We now define these correlators, and the corresponding entanglement indicators.

The mutual information ${\varepsilon_{\small\textsc{tei}}}({\theta_{\textsc{a}}},{\theta_{\textsc{b}}})$ which we get from the tomogram of a quantum system can carry signatures of entanglement. This quantity is expressed in terms of the tomographic entropies defined above as $${\varepsilon_{\small\textsc{tei}}}({\theta_{\textsc{a}}},{\theta_{\textsc{b}}})=S({\theta_{\textsc{a}}}) + S({\theta_{\textsc{b}}}) - S({\theta_{\textsc{a}}},{\theta_{\textsc{b}}}).
\label{eqn:epsTEI}$$ Indicators 