Quantum Information Scrambling and Entanglement in Bipartite Quantum States

Investigating the influence of quantum information scrambling on quantum correlations in a physical system is an interesting problem. In this article we establish the mathematical connectionsamong the quantifiers known as quantum information scrambling, Uhlmann fidelity, Bures metric and bipartite concurrence. We study these relations via four point out-of-time-order correlation function (OTOC) used for quantum information scrambling. It is investigated that, the quantum information scrambling is a squared root function with Uhlmann fidelity, squared function with Bures metric and liner function with bipartite concurrence. Further we study the dynamics of all the quantifiers and investigate the influence of quantum information scrambling on entanglement in two qubits prepared in Bell states. We also figure out the quantum information scrambling and entanglement balancing point in bipartite system.