Quantum interferometric power and Bures distance entanglement versus normalized steered coherence under random telegraph noise

Abstract

This study examines the impact of random telegraph noise on non-separability, non-classicality, and steered coherence in a bipartite system initially prepared in a Gisin state and embedded in both Markovian and non-Markovian environments. To quantify non-separability, we employ the Bures distance entanglement measure ([Formula: see text]); for non-classicality detection, we utilize the quantum interferometric power ([Formula: see text]); and to measure steered coherence, we employ the normalized steered coherence ([Formula: see text]). We analyze the dynamics of these three metrics under the effects of the random telegraph noise through various theoretical and numerical techniques. Our findings demonstrate that the amount of quantum correlations in the system is closely tied to the parameters defining the random telegraph noise and the initial system state. Our results also reveal that all three measures exhibit oscillatory behavior in the non-Markovian regime and monotonic changes with time in the Markovian regime. These results provide a deeper understanding of the robustness and stability of non-separability and coherence under noisy conditions and may have implications for the design of noise-resistant quantum systems.