光子非全同和光子损失的玻色采样模拟研究  

Simulation on Boson Sampling with Photon Partial Distinguishability and Photon Losses

作　　者：黄汛 倪明[1] 季阳 吴永政 Huang Xun;Ni Ming;Ji Yang;Wu Yongzheng(The 32nd Research Institute,China Electronics Technology Group Corporation,Shanghai 201800,China)

机构地区：[1]中国电子科技集团公司第三十二研究所,上海201800

出　　处：《光学学报》2021年第12期219-225,共7页Acta Optica Sinica

基　　金：量子信息技术上海市市级科技重大专项子项目(2019SHZDZX01-ZX03);中国电子科技集团公司第三十二研究所所内项目(GY200906-00)。

摘　　要：玻色采样可有效模拟量子效应下的采样问题,为验证量子计算的指数级加速能力提供了新思路。现实中大规模光子的不可分辨性难以制备,这极大地限制了玻色采样的计算复杂度优势。为了研究光子全同度及光子损失概率对玻色采样概率分布的影响,基于Reck模型,对6光子10模式的玻色采样过程进行了仿真。实验结果表明,光子间的全同度越低、光子损失概率越大,输出组合概率与理想情况的误差就越大,且误差的变化速度越小;当非全同光子的数目由0变为1时,玻色采样输出组合概率的误差变化幅度最大;随着非全同光子数目的增加,玻色采样输出组合的精度逐渐降低,但降低的速度减小。研究结果显示,基于Reck模型的玻色采样对光子间的全同度、非全同光子的数量以及光学网络中的光子损失十分敏感。Boson sampling can effectively simulate the sampling problem based on quantum effects,which provides a new path to verify the exponential acceleration of quantum computation.In reality,it is difficult to prepare large-scale photons with indistinguishable properties,which greatly suppresses the computational complexity advantage of boson sampling.In order to study the influence of photon partial distinguishability and photon losses on the probabilities of boson sampling,the boson sampling process based on the Reck model with 6 photons and 10 modes is simulated.The experimental data indicate that with the decrease of the indistinguishability and the increase of photon loss probabilities,the error between the actual frequency of output combinations and the ideal one increases gradually,however the error variation speed decreases.When the partially distinguishable photon number is changed from 0 to 1,the error variation range for boson sampling output combinations is the largest.The accuracy for boson sampling output combinations gradually decreases with the further increase of partially distinguishable photon number,but the reduction speed decreases.Our results demonstrate that boson sampling based on the Reck model is sensitive to photon indistinguishability,partially distinguishable photon numbers and photon losses in optical networks.

关 键 词：量子光学 玻色采样 光子全同度 光子损失 

分 类 号：O431.2[机械工程—光学工程]