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Quantum entanglement and Kaniadakis entropy

机译:量子纠缠与Kaniadakis熵

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摘要

A first use of Kaniadakis entropy in the context of quantum information is presented. First we show that (as all smooth and concave trace-form entropies) it exhibits some properties allowing it to be a possible candidate for a generalized quantum information theory. We then use it to determine the degree of entanglement. The influence of the parameter., that underpins Kaniadakis entropy, on the mutual information measure is then highlighted. It is shown that Kaniadakis entropy reduces the mutual information, which is always smaller than its usual von Neumann counterpart. Our results may contribute to the ongoing investigation involving generalized entropies in the context of quantum information.
机译:提出了在量子信息的背景下对Kaniadakis熵的首次使用。首先,我们证明(作为所有光滑和凹入的轨迹形式熵),它表现出一些特性,使其成为广义量子信息理论的可能候选者。然后,我们用它来确定缠结的程度。然后强调了支持Kaniadakis熵的参数对互信息量的影响。结果表明,Kaniadakis熵减少了互信息,该信息总是小于通常的von Neumann对应信息。我们的结果可能有助于正在进行的涉及量子信息背景下的广义熵的研究。

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