Characterizing tripartite entropic uncertainty under random telegraph noise

چکیده مقاله

The uncertainty principle bounds the measurement precision of two complementary variables and the bipartite scenario of quantum-memory-assisted entropic uncertainty relation (QMA-EUR) has been extensively studied. We investigate the tight uncertainty bound (UB) of a tripartite scenario of QMA-EUR in a system consisting of three qubits coupled either to their independent random telegraph noises (RTNs) or to a common source of RTN. For both the initial GHZ- and W-type states, the results show that the UB always increases monotonically with time in the Markovian regime and oscillates in the non-Markovian regime. Moreover, the UB can be significantly reduced due to the non-Markovian effects in the finite-time region and approaches the same asymptotic values in the infinite-time limit for both Markovian and non-Markovian cases. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.