Dynamical Measurement's Uncertainty in the Curved Space-Time
Dynamical Measurement's Uncertainty in the Curved Space-Time
复制标题
弯曲时空动态测量的不确定性
DOI：
10.1002/andp.201900014
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发表时间：
2019
影响因子：
2.4
通讯作者：
Ye Liu
中科院分区：
文献类型：
--
作者：
Ming Fei;Wang Dong;Ye Liu
研究了加芬克尔-霍洛维茨-斯特罗明格膨胀时空中狄拉克场两种模式下测量不确定度的动态特性。结果表明，随着系统量子相干性的降低，热场引起的霍金效应会导致熵不确定性随着膨胀参数值的增加而扩大，这反映出霍金效应可能会破坏系统相干性。同时，得到了不确定性与量子相干性之间的内在关系，揭示了不确定性的界限与系统的量子相干性反相关。进一步说明，系统性混合性在很大程度上与不确定性相关。通过信息流理论，还分析了包括量子和经典方面的各种相关性，可以用来对不确定性和量子相干性之间的关系形成物理解释。此外，该研究扩展到多分量测量的情况，并说明了熵不确定性关系在纠缠准则和量子通道容量上的应用。最后，声明可以通过最优量子弱测量来定量抑制测量不确定性。这些研究可能为理解弯曲时空中的测量不确定性铺平道路。
The dynamical characteristics of measurement's uncertainty are investigated under two modes of Dirac field in the Garfinkle–Horowitz–Strominger dilation space‐time. It shows that the Hawking effect induced by the thermal field would result in an expansion of the entropic uncertainty with increasing dilation‐parameter value, as the systemic quantum coherence reduces, reflecting that the Hawking effect could undermine the systemic coherence. Meanwhile, the intrinsic relationship between the uncertainty and quantum coherence is obtained, and it is revealed that the uncertainty's bound is anti‐correlated with the system's quantum coherence. Furthermore, it is illustrated that the systemic mixedness is correlated with the uncertainty to a large extent. Via the information flow theory, various correlations including quantum and classical aspects, which can be used to form a physical explanation on the relationship between the uncertainty and quantum coherence, are also analyzed. Additionally, this investigation is extended to the case of multi‐component measurement, and the applications of the entropic uncertainty relation are illustrated on entanglement criterion and quantum channel capacity. Lastly, it is declared that the measurement uncertainty can be quantitatively suppressed through optimal quantum weak measurement. These investigations might pave an avenue to understand the measurement's uncertainty in the curved space‐time.