论文标题

相对熵不确定性关系

Relative entropic uncertainty relation

论文作者

Floerchinger, Stefan, Haas, Tobias, Hoeber, Ben

论文摘要

量子不确定性关系是根据测量结果的分布与最大熵的合适的参考分布之间的相对熵提出的。这种类型的熵不确定性关系可以直接应用于具有离散或连续光谱的可观察物。我们发现,相对熵的总和以非平凡的方式从上面有限,我们用一些示例说明了这一点。

Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spectra. We find that a sum of relative entropies is bounded from above in a nontrivial way, which we illustrate with some examples.

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