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摘要

双模纠缠态是量子信息领域一种重要的量子资源, 本文基于四波混频过程从理论上提出了对双模纠缠态的单个模式(单模放大方案)和对双模纠缠态的两个模式(双模放大方案)的放大. 利用光学分束器模型来模拟在光学传输过程中损耗引入的真空场噪声, 利用部分转置正定判据分析了两种不同的放大方案中四波混频过程的增益对初始双模纠缠态的纠缠程度的影响. 结果表明, 在特定的损耗情况下, 两个方案中初始双模纠缠态的纠缠度都随增益的增大而减小, 直至消失, 且双模放大方案中初始双模纠缠态纠缠消失得比单模放大方案中更快. 本文的理论结果为实验上实现基于四波混频过程的双模纠缠态的放大奠定了理论基础.

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Abstract

Two-mode entangled state is an important quantum resource for quantum information. In this paper, the amplification of a single mode of two-mode entangled state (single-mode amplification scheme) and two modes of two-mode entangled state (two-mode amplification scheme) are theoretically proposed. Here, the optical beam splitter model is used to simulate the vacuum noise introduced by the loss in the optical transmission process. By utilizing the positivity under partial transpose criterion, we analyze the effect of the gain of the four-wave mixing process on the entanglement degree of the initial two-mode entangled state in two different amplification schemes. In these two schemes, we set the gain of the initial two-mode entangled state generation process to be 1.5, 2.5 and 50.0 respectively, and then change the gain of the amplification process in a certain range. We also set the transmission efficiency of the amplified beams for each of the two schemes to be a definite value. The results show that the entanglement of the initial two-mode entangled state decreases with the gain increasing under the condition of specific transmission loss in two schemes. When the gain does not exceed a certain value, the entanglement of the initial two-mode entangled state can be maintained. Then, with the increase of the gain, the entanglement of the initial two-mode entangled state will disappear. Moreover, the entanglement of the initial two-mode entangled state of the two-mode amplification scheme disappears faster than that of the single-mode amplification scheme. Our theoretical results pave the way for the experimental realization of the amplification of two-mode entangled state based on four-wave mixing process.

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作者及机构信息

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通信作者:刘胜帅,ssliu@lps.ecnu.edu.cn; 荆杰泰,jtjing@phy.ecnu.edu.cn

基金项目:国家自然科学基金(批准号: 11874155, 91436211, 11374140)、国家重点基础研究发展计划(批准号: 2016YFA0302103)、上海市自然科学基金(批准号: 17ZR1442900)、上海市教育委员会科研创新计划(批准号: 2021-01-07-00-08-E00100)、上海市科学技术委员会科技创新行动计划基础研究领域项目(批准号: 20JC1416100)、上海市科技创新行动计划(批准号: 17JC1400401)、上海市市级科技重大专项(批准号: 2019SHZDZX01)、上海市青年科技英才扬帆计划(批准号: 21YF1410800)、闵行领军人才(批准号: 201971)和高等学校学科创新引智基地(111计划)(批准号: B12024)资助的课题.

Authors and contacts

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Corresponding author:Liu Sheng-Shuai,ssliu@lps.ecnu.edu.cn; Jing Jie-Tai,jtjing@phy.ecnu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 11874155, 91436211, 11374140), the National Basic Research Program of China (Grant No. 2016YFA0302103), the Natural Science Foundation of Shanghai, China (Grant No. 17ZR1442900), the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 2021-01-07-00-08-E00100), the Basic Research Project of Shanghai Science and Technology Commission, China (Grant No. 20JC1416100), the Program of Scientific and Technological Innovation of Shanghai, China (Grant No. 17JC1400401), the Shanghai Municipal Science and Technology Major Project, China (Grant No. 2019SHZDZX01), the Shanghai Sailing Program, China (Grant No. 21YF1410800), the Minhang Leading Talents, China (Grant No. 201971), and the Program of Introducing Talents of Discipline to Universities, China (Grant No. B12024).

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施引文献

下载: 全尺寸图片幻灯片

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下载: 全尺寸图片幻灯片

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