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arXiv 2008.01788hep-thquant-ph
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各向异性膨胀时空中的Alice和Bob

Alice and Bob in an anisotropic expanding spacetime

Helder A. S. Costa, Paulo R. S. Carvalho

摘要:

研究了在各向异性膨胀时空中,两个同步运动的观察者Alice和Bob之间的量子隐形传态.在这个模型中,我们计算了量子隐形传态的保真度,并注意到它的频谱随方位角的变化而振荡。我们发现,对于极角$ϕ= \fracπ{2}$和方位角$θ\neq \frac{3π}{4} + nπ$与$n = 0, 1, 2, ...$,该过程的效率降低,即,保真度小于1。此外,在光滑膨胀区和无质量粒子的极限下,各向异性对保真度的影响更为显著。另一方面,曲率耦合的影响在快速膨胀状态($\fracρω \gg 1$的值)中变得显著。

英文摘要:

We investigate a quantum teleportation process between two comoving observers Alice and Bob in an anisotropic expanding spacetime. In this model, we calculate the fidelity of teleportation and we noted an oscillation of its spectrum as a function of the azimuthal angle. We found that for the polar angle $ϕ= \fracπ{2}$ and the azimuthal angle $θ\neq \frac{3π}{4} + nπ$ with $n = 0, 1, 2, ...$ the efficiency of the process decreases, i.e., the fidelity is less than one. In addition, it is shown that the anisotropic effects on the fidelity becomes more significative in the regime of smooth expansion and the limit of massless particles. On the other hand, the influence of curvature coupling becomes noticeable in the regime of fast expansion (values of $\fracρω \gg 1$).

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