Verifying Genuine High-Order Entanglement

Che-Ming Li, Kai Chen, Andreas Reingruber, Yueh-Nan Chen, and Jian-Wei Pan
Phys. Rev. Lett. 105, 210504 – Published 19 November 2010
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Abstract

High-order entanglement embedded in multipartite multilevel quantum systems (qudits) with many degrees of freedom (DOFs) plays an important role in quantum foundation and quantum engineering. Verifying high-order entanglement without the restriction of system complexity is a critical need in any experiments on general entanglement. Here, we introduce a scheme to efficiently detect genuine high-order entanglement, such as states close to genuine qudit Bell, Greenberger-Horne-Zeilinger, and cluster states as well as multilevel multi-DOF hyperentanglement. All of them can be identified with two local measurement settings per DOF regardless of the qudit or DOF number. The proposed verifications together with further utilities such as fidelity estimation could pave the way for experiments by reducing dramatically the measurement overhead.

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  • Received 27 June 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.210504

© 2010 The American Physical Society

Authors & Affiliations

Che-Ming Li1,2, Kai Chen3, Andreas Reingruber2, Yueh-Nan Chen1,*, and Jian-Wei Pan2,3

  • 1Department of Physics and National Center for Theoretical Sciences, National Cheng Kung University, Tainan 701, Taiwan
  • 2Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, D-69120 Heidelberg, Germany
  • 3Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

  • *yuehnan@mail.ncku.edu.tw

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Issue

Vol. 105, Iss. 21 — 19 November 2010

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