论文标题
平稳的度量调整偏斜信息率
Smooth Metric Adjusted Skew Information Rates
论文作者
论文摘要
量子Fisher信息引起的公制调整后的偏斜信息是不对称资源理论中众所周知的资源度量家族。然而，由于其渐近不对称性单调，其渐近率是无效的，因为它具有渐近性不连续性。我们在这里通过平滑技术引入了新的不对称度量，我们将其称为“平滑度量调整后的偏斜信息”。我们证明，在不对称资源理论中，其渐近sup和Inf率是有效的渐近度量。此外，事实证明，光滑的度量调整后的偏斜信息速率为连贯成本提供了下限，并且是可蒸馏的连贯性的上限。
Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry. However, its asymptotic rates are not valid asymmetry monotone since it has an asymptotic discontinuity. We here introduce a new class of asymmetry measures with the smoothing technique, which we term smooth metric adjusted skew information. We prove that its asymptotic sup- and inf-rates are valid asymptotic measures in the resource theory of asymmetry. Furthermore, it is proven that the smooth metric adjusted skew information rates provide a lower bound for the coherence cost and an upper bound for the distillable coherence.
