Taking into account the intrinsic decoherence effect, we study the tripartite nonlocality of a three-qubit Heisenberg spin system with three-body interaction by the generalized Bell inequality. We have found that there is Bell-nonlocality sudden birth, and the three-body interaction is vital to achieving it.
Abstract This paper investigates the dynamics of two-spin nonlocality generation in a Heisenberg XXX chain with Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions. We analyze the two-spin nonlocality dynamics by using uncertainty-induced nonlocal-ity, maximal Bell inequality, and log-negativity. We demonstrate that a separable two-spin Heisen-berg XXX chain state, induced by two-spin antiferromagnetic interaction as well as x-component of DM and KSEA interactions, could evolve to maximal two-spin nonlocality state. The ability of preserving the maximal uncertainty-induced nonlocality can be enhanced by increasing the coupling strength of the spin-spin interaction coupling. The hierarchy principle is maintained for the two-spin Bell nonlocality and log-negativity entanglement. The two-spin log-negativity dynamics exhibits the phenomenon of sudden death and birth as a result of the intrinsic decoherence, which also causes a reduction in the two-spin nonlocalities. The two-spin uncertainty-induced nonlocality is more robust , against the intrinsic decoherence, than the other types of the nonlocality. The results indicate that by boosting the two-spin antiferromagnetic interaction, the produced nonlocalities (resulting from the DM and KSEA x-component interactions) can be shielded from the intrinsic decoherence effect.
Abstract The Bell nonlocality for initially general W states undergoing independent generalized amplitude damping channels are investigated. We examine in detail the effect of adding the number of qubits in the reservoir on delay of the Bell nonlocality dynamics. We show that the Bell nonlocality can be obviously enhanced in suppressing decoherence with the help of auxiliary qubits in the reservoir. In particular, the sudden death of Bell nonlocality can be perfectly bypassed, and corresponding condition has been also demonstrated for initially standard W state. We also provide two ways to produce the interesting quantum beats for the tripartite Bell nonlocality and entanglement. The obtained results may have some potential interests in the quantum decoherence field.
This paper demonstrates that multipartite Bell-inequality violations can be fully destroyed in a finite time in three-qubit states coupled to a general XY spin-chain with a three-site interaction environment. The Mermin—Ardehali—Belinksii—Klyshko inequality is used to detect the degree of nonlocality, as measured by the extent of their violations. The effects of system-environment couplings, the size of degrees of freedom of the environment and the strength of the three-site interaction on the Bell-inequality violations are given. The results indicate that the Bell-inequality violations of the tripartite states will be completely destroyed by decoherence under certain conditions for the GHZ state. The decoherence-free subspaces of our model are identified and the entanglement of quantum states is also discussed.
We report on the existence of the phenomenon of sudden birth of maximal hidden quantum correlations in open quantum systems. Specifically, we consider the CHSH-inequality for Bell-nonlocality, the F3-inequality for EPR-steering, and usefulness for teleportation as quantum correlations in a bipartite qubit system under collective decoherence due to an environment. We show that, even though the system may undergo a sudden birth of entanglement, neither of the aforementioned correlations are present and yet, these can still be revealed by means of local filtering operations, thus evidencing the presence of hidden quantum correlations. Furthermore, there are extreme versions of this phenomenon for which the revealed correlations achieve their maximal amount allowed by quantum theory. The phenomenon of maximal hidden correlations relies on the qubits collective damping, and may take place even in long-distance separated qubits. These results prove that apparently-useless physical systems as quantum registers could still exhibit maximal correlations, which are hidden from us, but that can still be accessed by means of local filtering operations.