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arXiv 1911.01554quant-ph
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多模非高斯操作下的全局纠缠分布

Global Entanglement Distribution with Multi-mode Non-Gaussian Operations

Mingjian He, Robert Malaney, Jonathan Green

摘要:

非高斯操作由于能够增强量子态的纠缠度,近年来得到了广泛的研究。然而,大多数以前的研究进行了这样的操作在一个单一的模式设置,即使在现实中任何量子态包含在频率空间的多模分量。虽然已经开发了用于多模光子减法(PS)和光子加法(PA)的一般框架,但是存在重要的差距,因为迄今为止还没有开发用于多模光子催化(PC)的框架。在这项工作中,我们缩小了这一差距。然后,我们将我们新开发的PC框架应用于通过量子卫星的连续变量(CV)纠缠分发问题。由于此类系统设想的高脉冲率,多模效应将在天基CV部署中占据主导地位。在确定了多模光子晶体的纠缠分布后,我们将我们的结果与多模光子晶体和功率放大器的纠缠分布进行了比较。结果表明,当初始压缩小于一定阈值时,在发射端进行多模光子晶体是最优的非高斯操作。当在接收器处执行时,发现当平均信道衰减高于某个阈值时,多模PC是优越的非高斯操作。我们的新结果应该证明对下一代CV量子卫星的部署有价值。

英文摘要:

Non-Gaussian operations have been studied intensively in recent years due to their ability to enhance the entanglement of quantum states. However, most previous studies on such operations are carried out in a single-mode setting, even though in reality any quantum state contains multi-mode components in frequency space. Whilst there have been general frameworks developed for multi-mode photon subtraction (PS) and photon addition (PA), an important gap exists in that no framework has thus far been developed for multi-mode photon catalysis (PC). In this work we close that gap. We then apply our newly developed PC framework to the problem of continuous variable (CV) entanglement distribution via quantum-enabled satellites. Due to the high pulse rate envisioned for such systems, multi-mode effects will be to the fore in space-based CV deployments. After determining the entanglement distribution possible via multi-mode PC, we then compare our results with the entanglement distribution possible using multi-mode PS and PA. Our results show that multi-mode PC carried out at the transmitter is the superior non-Gaussian operation when the initial squeezing is below some threshold. When carried out at the receiver, multi-mode PC is found to be the superior non-Gaussian operation when the mean channel attenuation is above some threshold. Our new results should prove valuable for next-generation deployments of CV quantum-enabled satellites.

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