Local basis-dependent noise-induced Bell-nonlocality sudden death in tripartite systems

Abstract

We demonstrate that multipartite Bell-inequality violations can be fully destroyed in finite time in three-qubit systems subject only to the mechanism of local external asymptotic dephasing noise. This broadens the study of local-noise-induced sudden death of nonlocal behavior, extending it beyond the realm of bipartite systems, to which it had previously been restricted.

Entanglement dynamics and Bell violation of three-qubit states coupled to an XY spin chain with Dzyaloshinski–Moriya interaction

“…5, the strong coupling g ¼ 10 is analyzed. We find that the Bell violation is destructed completely in a finite time and such a phenomenon is called Bell violation sudden death [29]. Under weak coupling, the Bell violation decreases fast initially and tends to oscillates around a same stable value for different values of DM interaction.…”

“…[30]. It should be noted that the formulations in [29] does not demonstrate the Bell violation of the GHZ entangled state.…”

“…For a three-qubit state, the two inequalities are equivalent. In [29], the authors consider the effect of local noise on the nonlocality of the W state. For the GHZ state, Ref.…”

“…Recently, the entanglement dynamics of 2-qubit states coupled to an XY spin chain with DM interaction has been studied in [25]. As is known that multipartite quantum states play an important role in a practical QIP at a large scale and the nonlocality of multipartite quantum states is of significance for a successful quantum computation and quantum communication task [26][27][28][29][30]. The effect of decoherence induced by an XY spin chain with DM interaction on the Bell-nonlocality and multipartite entanglement is interesting.…”

Cavity-loss-induced Bell-nonlocality sudden death in the Tavis–Cummings model

“…Very recently, Jaeger and Ann [14] demonstrated the Bell-nonlocality sudden death (BNSD) of tripartite system by analyzing Bell-inequality violations. It is showed that multipartite Bell-inequality violations can be fully destroyed in finite time in three-qubit systems subject to the multi-local asymptotic dephasing noise.…”