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›› 2015, Vol. 32 ›› Issue (2): 158-165.DOI: 10.7523/j.issn.2095-6134.2015.02.003

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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 Online:2015-03-15
  • Supported by:

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

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

CLC Number: