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中国科学院大学学报 ›› 2015, Vol. 32 ›› Issue (2): 158-165.DOI: 10.7523/j.issn.2095-6134.2015.02.003

• 数学与物理学 • 上一篇    下一篇

任意未知超纠缠混态的同步浓缩与纯化

杜琨, 宋秋成, 乔从丰   

  1. 中国科学院大学, 北京 100049
  • 收稿日期:2014-05-07 修回日期:2014-05-13 发布日期:2015-03-15
  • 通讯作者: 乔从丰, qiaocf@ucas.ac.cn
  • 基金资助:

    Supported by National Natural Science Foundation of China(NSFC)(11175249, 11375200)

Synchronous concentration and purification schemes of arbitrary unknown hyperentangled mixed states

DU Kun, SONG Qiucheng, QIAO Congfeng   

  1. University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2014-05-07 Revised:2014-05-13 Published:2015-03-15
  • Supported by:

    Supported by National Natural Science Foundation of China(NSFC)(11175249, 11375200)

摘要:

针对处于未知的部分超纠缠混态的两光子4-qubit系统, 提出2个能同时完成超纠缠浓缩与纯化的有效方案. 第1个方案利用附加的部分频率纠缠, 可以修正极化纠缠中的错误, 并提取出在极化与空间模上的最大超纠缠. 第2个方案则借助附加的最大频率纠缠实现确定地纯化和浓缩在极化与空间模上的超纠缠. 2个方案都只基于现有光学器件和交叉克尔非线性作用.

关键词: 超纠缠, 浓缩, 纯化, 交叉克尔非线性

Abstract:

We present two efficient schemes which can simultaneously accomplish hyperentanglement concentration and purification for two-photon four-qubit systems in an unknown partially hyperentangled mixed state. The first can correct errors in the polarization entanglement and extract maximal hyperentanglement in polarization and spatial mode, using additional partial frequency entanglement. The second uses additional maximal frequency entanglement to purify and concentrate hyperentanglement in polarization and spatial mode deterministically. Both of the schemes are only based on existing optical devices and cross-Kerr nonlinearities.

Key words: hyperentanglement, concentration, purification, cross-Kerr nonlinearities

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