We prove a generalized version of a previously conjectured inequality by Zhang et al (Zhang et al 2018 Phys. Lett. A 382 , 1516–23) for the quantum addition operation defined by Datta et al (Audenaert et al 2016 J. Math. Phy. 57 , 052202) in the context of proving an entropy power inequality for qubits. We also show that the quantum addition operation commutes with an incoherent channel, which may have possible implications for resource theories of coherence in optical settings.

中文翻译：

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量子相加所产生的混乱比混合少，并且通过不相干的通道换向

我们证明了Zhang等人（Zhang等人2018 Phys.Lett.A 382，1516-23）先前推测的不等式的广义形式，用于Datta等人（Audenaert等人2016 J.Math.Phy） （第57卷，第052202页）证明量子比特的熵幂不等式。我们还表明，量子加法运算会与不相干的通道交换，这可能会对光学设置中的相干资源理论产生潜在的影响。