https://doi.org/10.1140/epjp/s13360-021-02305-y
Regular Article
Tripartite measurement uncertainty in a Heisenberg XXZ model
1
Faculty of Physics, Semnan University, P.O.Box 35195-363, Semnan, Iran
2
Saeed’s Quantum Information Group, P.O.Box 19395-0560, Tehran, Iran
3
Department of Physics, Salman Farsi University of Kazerun, Kazerun, Iran
4
Laboratory of High Energy and Condensed Matter Physics, Department of Physics, Faculty of Sciences Aïn Chock, University Hassan II, P.O. Box 5366, 20100, Maarif Casablanca, Morocco
5
Department of Physics, Faculty of Sciences, University Ibn Tofail, Kénitra, Morocco
6
Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy
Received:
27
July
2021
Accepted:
19
December
2021
Published online:
27
December
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021