Unification of coherence and quantum correlations in tripartite systems

Genuine multipartite entanglement in three-qubit XY Z Heisenberg systems

“…Note that 0 ≤ C ≤ 1, since 0 ≤ λ i ≤ 1 2 . We also use the generalized geometric measure (GGM) [28,29], written in the form [33]:…”

“…Similar to the previous case, 0 ≤ G ≤ 1/2. In addition, it is worth noting that the above expressions satisfy the relation [33]:…”

Quantum-memory-assisted entropic uncertainty and quantum correlation in structured reservoir

“…One of the major goals in quantum theory is to understand and exploit various resources such as entanglement, quantum correlations, and classical correlations [26][27][28][29][30][31][32] in the open quantum system that is suffered from inevitable interaction with the surrounding environment. Our objective is firstly to investigate the dynamics of EUR and quantum correlation in terms of entropic discord and geometric discord in the presence of reservoir [33,34].…”

Relating EPR steering with the fidelity of quantum teleportation for two- and three-qubit states

“…The experiments on the detection of EPR steering have also been reported [23][24][25][26][27][28][29][30][31]. With the steering criteria and sufficient conditions of steerability, the trade-off relation [32,33] and the hierarchy relation [34] between EPR steering and other quantum correlations have been investigated. Apart from having foundational significance, EPR steering has wide applications ranging from one-sided device-independent quantum key distribution [35], secure quantum communication [36], secure quantum teleportation [36,37], detecting bound entangled states [38], subchannel discrimination [10], randomness generation [39][40][41][42] and self-testing of pure entangled states [43][44][45].…”

“…Furthermore, in [65], the minimal control power was interpreted as a degree of three-qubit entanglement. As the relationship between quantum correlations and the fidelity of teleportation for three-qubit states, as well as that between quantum correlations and EPR steering, had been investigated [33,66], then, one could naturally ask what relationships exist between the fidelity of teleportation and EPR steering for multiqubit states. Therefore, we attempt to fill this gap in this paper, and the relationship between EPR steering and the fidelity of teleportation for three-qubit states will be investigated.…”