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Comparative Study of LQU and LQFI Measures of Quantum Correlations in Two-Spin-1/2 Heisenberg Systems

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Abstract

Many measures of quantum correlations have been introduced so far, and now their properties are carefully studied both theoretically and experimentally. The most important among them are quantum entanglement and quantum discord. Recently, it was shown that the Wigner–Yanase skew information and quantum Fisher information also can serve as measures of nonclassical correlations. These discordlike measures are called local quantum uncertainty (LQU) and interferometric power or local quantum Fisher information (LQFI), correspondingly. In this paper the behavior of LQU and LQFI is considered at thermal equilibrium of the two-qubit Heisenberg models in the absence and presence of an external magnetic field; these cases correspond to the Bell-diagonal and general X states, respectively.

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Fig. 1.
Fig. 2.

Notes

  1. However, “it is important to realize that in physics today, we have no knowledge of what the energy is” [7]).

  2. Earlier, a similar definition was proposed by Everett for the canonical correlation [11]).

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ACKNOWLEDGMENTS

I am very grateful to V.P. Kudrya for his help in the work.

Funding

This research was supported in part by a state task, the state registration number of the Russian Federation is AAAAA19-119071190017-7.

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  1. Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry, Russian Academy of Sciences, 142432, Chernogolovka, Moscow oblast, Russia

    M. A. Yurischev

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Yurischev, M.A. Comparative Study of LQU and LQFI Measures of Quantum Correlations in Two-Spin-1/2 Heisenberg Systems. Russ Microelectron 52 (Suppl 1), S412–S418 (2023). https://doi.org/10.1134/S1063739723600176

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