  The concept of quantum memory plays an incisive role in the quantum
information theory. As confirmed by several recent rigorous mathematical
studies, the quantum memory inmate in the bipartite system $\rho_{AB}$ can
reduce uncertainty about the part $B$, after measurements done on the part $A$.
In the present work, we extend this concept to the systems with a spin-orbit
coupling and introduce a notion of spin-orbit quantum memory. We
self-consistently explore Uhlmann fidelity, pre and post measurement
entanglement entropy and post measurement conditional quantum entropy of the
system with spin-orbit coupling and show that measurement performed on the spin
subsystem decreases the uncertainty of the orbital part. The uncovered effect
enhances with the strength of the spin-orbit coupling. We explored the concept
of macroscopic realism introduced by Leggett and Garg and observed that POVM
measurements done on the system under the particular protocol are
non-noninvasive. For the extended system, we performed the quantum Monte Carlo
calculations and explored reshuffling of the electron densities due to the
external electric field.
