Tripartite measurement uncertainty in a Heisenberg XXZ model

The uncertainty principle limits our capability to accurately predict the measurement result of two incompatible observables. The tripartite entropic uncertainty bound can be improved by considering two additional particles as the quantum memories which correlate with the measured particle. In this work, we consider the tripartite quantum memory-assisted entropic uncertainty bound for the case where the quantum memories and the measured particle are qubits of a periodic Heisenberg XXZ spin model at a thermal regime. We study the effect of the Hamiltonian parameters and temperature on the tripartite uncertainty bound. Our results imply that the tripartite uncertainty bound can be remarkably suppressed by detuning the system parameters.

Automated summary

This study investigates the tripartite entropic uncertainty bound assisted by quantum memory in a periodic Heisenberg XXZ spin model. The results show that the uncertainty bound can be significantly suppressed by adjusting the system parameters.