Bell nonlocality, entanglement, and entropic uncertainty in a Heisenberg model under intrinsic decoherence: DM and KSEA interplay effects

Characterizing Two‐Qubit Non‐Classical Correlations and Non‐Locality in Mixed Local Dephasing Noisy Channels

“…In addition, this concept cannot be described in terms of any local hidden variable model. Because of its ease of computation for a two-qubit state 𝜌 AB ∈  A ⊗  B , the CHSH inequality is of particular interest and can be written as [63] B(𝜌 AB , 𝜉) = |Tr (…”

“…In addition, this concept cannot be described in terms of any local hidden variable model. Because of its ease of computation for a two‐qubit state $$\rho _{AB}\in {\cal H}_A \otimes {\cal H}_B$$, the CHSH inequality is of particular interest and can be written as [ 63 ] $$\begin{align} B(\rho _{AB}, \xi )= \vert {\rm Tr}{\left(\rho _{AB} B_{\text{CHSH}}\right)} \vert \le 2 \end{align}$$where $$B_{\text{CHSH}}$$ is a Bell operator acting on $${\cal H}_A \otimes {\cal H}_B$$, ξ is the measurement setting for Alice and Bob obtained conventionally using any local‐hidden‐variable model such that to satisfy the inequality condition for the density matrix state $$\rho _{AB}$$. The Bell non‐locality measure for a two‐qubit state $$\rho _{AB}$$ according to the ref.…”

“…As stated earlier, quantum correlations beyond entanglement also exist. [49][50][51] These correlations include geometric quantum discord, [47,52] local quantum uncertainty (LQU), [53,54] measurement induced disturbance, [55,56] measurement induced non-locality, [57,58] uncertainty-induced non-locality (UIN), [58,59] Bell non-locality (BNL), and local quantum Fisher information (LQFI), [60][61][62][63] to name a few. In the current case, let us distinguish between different non-classical and quantum correlations in a two-qubit system.…”

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

“…The non-classicality and the non-locality of two-qubit Werner state and two-qutrit under the effect of some classical noise environment have been discussed (Rahman et al 2022a, b). Some quantum correlations dynamics features of Bell nonlocality, entanglement and entropic uncertainty of Dzyaloshinskii-Moriya (DM), Kaplan-Shekhtman-Entin-Wohlman-Aharony(KSEA) interactions with external magnetic field, and intrinsic decoherence have obtained (Abd-Rabboul et al 2021;Hashem et al 2022;Essakhi et al 2022). The concurrence is a simple measure of entanglement that provides an analytic formula for the entanglement of formation (EoF) which is one of three widely studied measures of entanglement of a general bipartite system (Wootters 2001).…”

Intrinsic decoherence effects on correlated coherence and quantum discord in XXZ Heisenberg model

“…Previously many studies focused on measuring and characterizing quantum resources in the framework of intrinsic and standard decoherence models in different quantum systems [11][12][13][14][15][16][17][18][19][20][21][22][23]. Although many methods were introduced to measure quantum systems, assessing the quantumness of multipartite systems is still a challenging task [8,24].…”