高斯偏置纠缠态的量子导引  

Quantum Steering of Gaussian Biased Entangled States

作　　者：王楠[1,2] 王美红 苏晓龙[1,2] 马荣 WANG Nan;WANG Mei-hong;SSU Xiao-log;MA Rong(State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Opto-Electronics,Shanxi University,Taiyuan 030006,China;Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China;College of Physics and Electronic Engineering,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学光电研究所量子光学与量子光学器件国家重点实验室,山西太原030006 [2]山西大学极端光学协同创新中心,山西太原030006 [3]山西大学物理电子工程学院,山西太原030006

出　　处：《量子光学学报》2024年第2期58-66,共9页Journal of Quantum Optics

基　　金：国家自然科学基金(61905135,11834010,62005149);山西省“1331工程”重点学科建设经费;山西省基础研究计划(20210302121002)。

摘　　要：量子导引在量子信息处理中具有广泛的应用前景,高斯偏置纠缠态是一种易于制备的特殊非对称量子纠缠态。然而,高斯偏置纠缠态的量子导引特性尚不清楚。本文详细分析了两组份和三组份高斯偏置纠缠态的量子导引及其在噪声信道的传输特性,并与高斯无偏纠缠态的量子导引进行了对比。我们使用一束压缩光通过分束器变换分别产生两组份和三组份偏置纠缠态,并将纠缠态的一束分发到噪声信道,通过重构两组份和三组份偏置纠缠态的协方差矩阵,理论分析了高斯偏置纠缠态的量子导引。研究结果表明,与高斯无偏纠缠态相比,偏置纠缠的量子导引区域的大小对信道噪声更加敏感,并且通过改变信道中的噪声的大小更易于实现导引方向的反转。本文为基于高斯偏置纠缠态的量子导引实现量子信息处理提供了参考。As a special type of quantum correlation stands between quantum entanglement and Bell nonlocality in the hierarchy of quantum correlations,quantum steering is usually described as that one party,Alice,can steer the state of a distant party,Bob,by local measurements on Alice.There are situations where Alice can steer Bob's state but Bob cannot steer Alice's state,or vice versa,which are referred to as one-way steering.Continuous variable entanglement plays an important role in quantum information processing.In general,the quantum fluctuations of the two quadrature components of the continuous variable entangled state are symmetric.We will refer to this as unbiased entanglement.Gaussian biased entangled state is an easily produced special asymmetric quantum entangled state,where the quantum noises of amplitude and phase quadratures are asymmetric,and it has been applied in the field of quantum information.However,the quantum steering properties of Gaussian biased entangled state remains unknown.In this paper,we analyze quantum steering of the bipartite and tripartite Gaussian biased entangled states and the transmission properties of them in noisy channels,and compare the results with quantum steering of Gaussian unbiased entangled states.We generate the bipartite and tripartite biased entangled states by coupling a phase-squeezed state and vacuum states on an optical beam splitter network.Then,we distribute one of the entangled states through noisy channels.The quantum steering of the bipartite and tripartite Gaussian biased entangled states is analyzed theoretically by reconstructing their covariance matrixes,respectively.The results show that,compared with Gaussian unbiased entangled states,the quantum steering regions of biased entangled states are more sensitive to channel noise.And the quantum steering direction of biased entangled states is easier to reverse by changing the amplitude of channel noise.This paper provides a reference for realizing quantum information processing based on quantum steering of bia

关 键 词：量子纠缠 量子导引 偏置纠缠态 

分 类 号：O431.2[机械工程—光学工程]