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We consider the following perturbed polyharmonic operator $\Lc(x,D)$ of order$2m$ defined in a bounded domain $\Omega \subset \mathbb{R}^n, n\geq 3$ withsmooth boundary, as \begin{equation*} \Lc(x,D) \equiv (-\Delta)^m +\sum_{j,k=1}^{n}A_{jk} D_{j}D_{k} + \sum_{j=1}^{n}B_{j} D_{j} + q(x),\end{equation*} where $A$ is a symmetric $2$-tensor field, $B$ and $q$ arevector field and scalar potential respectively. We show that the coefficients$A=[A_{jk}]$, $B=(B_j)$ and $q$ can be recovered from the associatedDirichlet-to-Neumann data on the boundary. Note that, this result shows anexample of determining higher order ($2$nd order) symmetric tensor field in theclass of inverse boundary value problem.

Inverse boundary value problem of determining up to second order tensors appear in the lower order perturbations of the polyharmonic operator