Quantum Fisher information-based detection of genuine tripartite entanglement

Detection of genuine multipartite entanglement based on principal basis matrix representations

“…From Table 3, our results show that ρ has GME for f (x) = 54.4563x − √ 904 > 0, i.e., 0.5521 < x ≤ 1. Therefore, our ranges are better than the results given in [15] and [17], see also Fig. 2.…”

“…With respect to different choices of C, we have the results showing in Table 3. From Lemma 2 in [15], 6). From Theorem 2 in [17], ρ has GME if h(x) > 0, i.e., 0.7385 < x ≤ 1.…”

“…al. [15] proposed a criterion for detecting genuine tripartite entanglement based on quantum Fisher information. Y. Akbari-Kourbolagh [16] found sufficient criteria for detecting the entanglement of three-qubit states in the vicinity of GHZ, W states and the PPT entangled states.…”

Detection of genuine multipartite entanglement based on local sum uncertainty relations

“…with the criterion in [24] and [32], Theorem 3 can detect more genuinely tripartite entangled states.…”

“…When we choose spin observables, the criterion is better than that in [31]. Third, we use the criterion detect 3-qutrit state and noisy W state for n-qubit system (n = 3, 4, 5, 6) and find that the criterion is strong than the exiting ones [24,32]. Moreover, it can detect more noisy W states when n changes from 4 to 6, which is consistent with the fully-separability of noisy W states [33].…”