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Quantum information scrambling and entanglement in bipartite quantum states

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Abstract

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.

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Authors and Affiliations

  1. DY Patil International University, Sect-29, Nigdi Pradhikaran, Akurdi, Pune, Maharashtra, 411044, India

    Kapil K. Sharma

  2. Joint Institute for Nuclear Research, 6 Joliot-Curie St, Dubna, Russia, 141980

    Vladimir P. Gerdt

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  1. Kapil K. Sharma
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  2. Vladimir P. Gerdt
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Correspondence to Kapil K. Sharma.

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Sharma, K.K., Gerdt, V.P. Quantum information scrambling and entanglement in bipartite quantum states. Quantum Inf Process 20, 195 (2021). https://doi.org/10.1007/s11128-021-03138-5

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