Verifying Genuine High-Order Entanglement

Che-Ming Li, Kai Chen, Andreas Reingruber, Yueh-Nan Chen, Jian-Wei Pan
2010 Physical Review Letters  
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
more » ... r 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.
doi:10.1103/physrevlett.105.210504 pmid:21231278 fatcat:xridwnzunzav3iyqpcyqyu4mzq