Quantum non-Gaussianity and quantification of nonclassicality
Quantum non-Gaussianity and quantification of nonclassicality
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DOI：
10.1103/physreva.97.053823
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发表时间：
2018-03
影响因子：
2.9
通讯作者：
B. Kühn;W. Vogel
中科院分区：
文献类型：
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作者：
B. Kühn;W. Vogel
非经典性的代数量化是由量子叠加原理自然产生的，它与正则非经典性准概率的性质有关。后者是通过对Glauber-Sudarshan $P$~函数进行非高斯滤波得到的。它们给出了非古典程度的下限。我们还直接从实验可得的非经典拟概率推导出高斯态凸组合的界来证明量子非高斯性。其他量子态表示，如$s$参数化准概率，不能充分表明甚至不能直接揭示量子态特性的详细信息。作为一个例子，我们的方法应用于多光子加入的压缩真空态。
The algebraic quantification of nonclassicality, which naturally arises from the quantum superposition principle, is related to properties of regular nonclassicality quasiprobabilities. The latter are obtained by non-Gaussian filtering of the Glauber-Sudarshan $P$~function. They yield lower bounds for the degree of nonclassicality. We also derive bounds for convex combinations of Gaussian states for certifying quantum non-Gaussianity directly from the experimentally accessible nonclassicality quasiprobabilities. Other quantum state representations, such as $s$-parametrized quasiprobabilities, insufficiently indicate or even fail to directly uncover detailed information on the properties of quantum states. As an example, our approach is applied to multi-photon-added squeezed vacuum states.