Investigating the influence of quantum information (QI) scrambling on quantum correlations in a physical system is an interesting problem. In this article, we establish the mathematical connections among the quantifiers known as quantum information scrambling, Uhlmann fidelity, Bures metric and bipartite concurrence. We study these connections via four-point out-of-time-order correlation function used for quantum information scrambling. Further, we study the dynamics of all the quantifiers and investigate the influence of QI scrambling on entanglement in two qubits prepared in Bell states. We also investigate the QI scrambling and entanglement balancing points in Bell states under Ising Hamiltonian.

研究量子信息 (QI) 加扰对物理系统中量子相关性的影响是一个有趣的问题。在本文中，我们在称为量子信息加扰、Uhlmann 保真度、Bures 度量和二部并发性的量词之间建立了数学联系。我们通过用于量子信息加扰的四点乱序相关函数来研究这些联系。此外，我们研究了所有量词的动力学，并研究了 QI 加扰对以贝尔态制备的两个量子位中纠缠的影响。我们还研究了 Ising Hamiltonian 下贝尔态的 QI 加扰和纠缠平衡点。