  In this work, we have studied various mixed state information theoretic
quantities for an excited state of Lifshitz spacetime in $3+1$-dimensions. This
geometry is the gravity dual to a class of $2+1$-dimensional quantum field
theories having Lifshitz symmetry. We have holographically calculated mutual
information, entanglement wedge cross section, entanglement negativity and
mutual complexity for strip like subsystems at the boundary. For this we have
used the results of holographic entanglement entropy and complexity present in
the literature. We first calculate all of these mentioned quantities for the
pure state of Lifshitz spacetime. Then we have moved on to calculate all these
quantities for excited state of the Lifshitz spacetime. The gravity dual of
excited state of Lifshitz systems in field theory can be obtained by applying
constant perturbations along the boundary direction. Further, we would like to
mention that for the simplicity of calculation we are only considering results
up to the first order in perturbation. The change in the obtained holographic
information theoretic quantities are then related to entanglement entropy,
entanglement pressure, entanglement chemical potential and charge using the
stress tensor complex. These relations are analogous to the first law of
entanglement thermodynamics given earlier in the literature. All the
calculations are carried out for both values of dynamical scaling exponent
($z$) present in the Lifshitz field theory.
