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arXiv 2204.09102quant-ph
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光学相干的新方面及其在量子技术中的潜力

New Aspects of Optical Coherence and their Potential for Quantum Technologies

Nathaniel Robert Miller

摘要:

目前,光学技术影响着我们的大部分生活,从科学测量中使用的光到构成互联网主干的光纤电缆。然而,随着我们目前的光学基础设施的发展,我们发现这些技术并不是无限的。然而,我们目前的光学技术是基于经典原理的,并且可以通过结合我们的量子光学知识来轻松改进。为了实现量子技术,我们必须提高对量子相干性的理解。通过这些知识,我们可以更长时间地保持量子态,从而保持它们的信息。在这篇论文中,我将证明,有了足够的知识的相干性,一个简单的代数可以推导出,它可以提供规则的图形约简的量子网络图。利用这些知识,我然后提供了一个基本的算法,可以找到量子网络上通信的最佳子图。接下来,我演示了通过测量场的光子统计和二阶量子相干性,可以创建一个能够区分像素上的光源的神经网络。然后应用该方法来开发能够超越阿贝-瑞利准则的成像方案。最后,我提出了一个多光子量子版本的van Cittert-Zernike定理。这提供了能够确定量子相干性在整个系统中的传播的形式。然后,我证明了该定理的有用性,通过展示子泊松统计与入射热束的线性系统,可获得的后选择。总而言之,这为量子技术的相干性的新应用和进一步扩展我们知识的形式主义提供了动力。

英文摘要:

Currently, optical technology impacts most of our lives, from light used in scientific measurement to the fiber optic cables that makeup the backbone of the internet. However, as our current optical infrastructure grows, we discover that these technologies are not limitless. However, our current optical technology functions on classical principles, and can be easily improved by incorporating our knowledge of quantum optics. In order to implement quantum technologies, our understanding of quantum coherence must improve. Through this knowledge we can maintain quantum states, and therefore their information, longer. In this dissertation, I will demonstrate that with sufficient knowledge of coherent properties, a simple algebra can be derived which can provide rules for graph reductions on a quantum network graph. Using this knowledge, I then provide a rudimentary algorithm which can find the optimal subgraph for communication on a quantum network. Next, I demonstrate that by measuring the photon statistics and second-order quantum coherence of a field, one can create a neural network capable of distinguishing the light sources on a pixel. Which is then applied to develop an imaging scheme capable of surpassing the Abbe-Rayleigh Criterion. Lastly, I present a multiphoton quantum version of the van Cittert-Zernike theorem. This provides formalism capable of determining the propagation of quantum coherence throughout a system. I then demonstrate the usefulness of the theorem by demonstrating sub-Poissonian statistics created by a linear system with an incident thermal beam, obtainable only by post-selection. Altogether, this provides incite into new applications of coherence to quantum technologies and the formalism to extending our knowledge even further.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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