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<p>In this study, at first, variational representations of relative quantum entropies have been obtained by <i>q</i>-deformed hyperbolic functions and then, using this idea, variational representations associated with finite sums of relative quantum entropies have been derived. Moreover, Gibbs variational principle has been extended by the <i>q</i>-deformed hyperbolic functions and finally, as an application of the obtained representations, another form of Peierls-Bogolyubov’s inequality has been presented by <i>q</i>-deformed hyperbolic functions.</p>

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Summability of variational representations related to relative quantum entropies

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Mina Sadeghinezhad

摘要

In this study, at first, variational representations of relative quantum entropies have been obtained by q-deformed hyperbolic functions and then, using this idea, variational representations associated with finite sums of relative quantum entropies have been derived. Moreover, Gibbs variational principle has been extended by the q-deformed hyperbolic functions and finally, as an application of the obtained representations, another form of Peierls-Bogolyubov’s inequality has been presented by q-deformed hyperbolic functions.