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Block-wise correlations in quantum evolutionary system with pure initial state

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Abstract

We study the block-wise correlations in a quantum spin system in the processes when certain blocks do not interact with each other. This happens, for instance, in the evolution governed by the Hamiltonian conserving the excitation number in the spin system (i.e., the z-projection of the total spin momentum in the system governed by the XX-Hamiltonian). We compare the entanglement in a particular fixed-excitation block with the entanglement in a complete state. We also study the entanglement in the multi-excitation blocks including several fixed-excitation blocks. Wootters criterion and Fisher information are taken as measures of quantum entanglement in a homogeneous spin system governed by the XX-Hamiltonian.

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Acknowledgements

The work was performed as a part of a state task, State Registration No. AAAA-A19-119071190017-7.

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  1. Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry RAS, Chernogolovka, Moscow Region, Russia, 142432

    S. I. Doronin, E. B. Fel’dman & A. I. Zenchuk

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  1. S. I. Doronin
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  2. E. B. Fel’dman
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  3. A. I. Zenchuk
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Correspondence to A. I. Zenchuk.

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Doronin, S.I., Fel’dman, E.B. & Zenchuk, A.I. Block-wise correlations in quantum evolutionary system with pure initial state. Quantum Inf Process 22, 188 (2023). https://doi.org/10.1007/s11128-023-03933-2

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