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How to Observe High-Dimensional Two-Photon Entanglement with Only Two Detectors
Author(s) -
S. S. R. Oemrawsingh,
Andrea Aiello,
E. R. Eliel,
G. Nienhuis,
J. P. Woerdman
Publication year - 2004
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.92.217901
Subject(s) - physics , quantum entanglement , hilbert space , quantum mechanics , phase space , photon , space (punctuation) , angular momentum , qubit , parameter space , phase (matter) , spiral (railway) , quantum , mathematical analysis , mathematics , geometry , philosophy , linguistics
We propose a novel setup to investigate the entanglement of orbital angular momentum states living in a high-dimensional Hilbert space. We incorporate noninteger spiral phase plates in spatial analyzers, enabling us to use only two detectors. The two-photon states that are produced are not confined to a 2 x 2-dimensional Hilbert space, and the setup allows the probing of correlations in a high-dimensional space. For the special case of half-integer spiral phase plates, we predict that the Clauser-Horne-Shimony-Holt-Bell parameter S is larger than achievable for two qubits (S=2 sqrt[2]), namely, S=31 / 5.

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