论文标题
相干状态叠加,纠缠和量规/重力对应关系
Coherent state superpositions, entanglement and gauge/gravity correspondence
论文作者
论文摘要
我们关注两种类型的相干状态,即在仪表/重力对应关系的背景下,多重引力态的相干状态和巨型重力状态的相干状态。我们方便地使用相移操作员及其对这些相干状态叠加的动作。我们发现$ n $ -State Schrodinger Cat State接近一排年轻的Tableau国家,它们之间的富裕性在$ n $中渐近地达到1。这些状态的量子渔民信息与基本状态的激发能的方差成正比,并表征了状态在相空间中角方向上的可定位性。我们使用相当空间平面的不同区域在冒泡的广告中分析了重力自由度之间的相关性和纠缠。相空间中两个纠缠环之间的相关性与两个环之间的环的面积有关。我们还分析了两种类型的嘈杂的连贯状态,它们可以看作是插值状态,它们在无噪声极限下的纯连贯状态之间插值,在较大的噪声极限下具有最大混合状态。
We focus on two types of coherent states, the coherent states of multi graviton states and the coherent states of giant graviton states, in the context of gauge/gravity correspondence. We conveniently use a phase shift operator and its actions on the superpositions of these coherent states. We find $N$-state Schrodinger cat states which approach the one-row Young tableau states, with fidelity between them asymptotically reaches 1 at large $N$. The quantum Fisher information of these states is proportional to the variance of the excitation energy of the underlying states, and characterizes the localizability of the states in the angular direction in the phase space. We analyze the correlation and entanglement between gravitational degrees of freedom using different regions of the phase space plane in bubbling AdS. The correlation between two entangled rings in the phase space plane is related to the area of the annulus between the two rings. We also analyze two types of noisy coherent states, which can be viewed as interpolated states that interpolate between a pure coherent state in the noiseless limit and a maximally mixed state in the large noise limit.