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Direct measurement of transverse-mode entanglement in two-photon states
Author(s) -
H. Di Lorenzo Pires,
C. H. Monken,
M. P. van Exter
Publication year - 2009
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.80.022307
Subject(s) - physics , quantum entanglement , coherence (philosophical gambling strategy) , quantum mechanics , spontaneous parametric down conversion , photon , measure (data warehouse) , parametric statistics , transverse plane , quantum optics , quantum , quantum electrodynamics , statistical physics , statistics , database , computer science , engineering , mathematics , structural engineering
We introduce and experimentally demonstrate a method to measure the Schmidt number of pure two-photon states entangled in transverse-mode structure. Our method is based on the connection between the Schmidt decomposition in quantum theory and the coherent-mode decomposition in classical coherence theory. We apply the method to two-photon states generated by spontaneous parametric down conversion and show that our results are in excellent agreement with numerical calculations based on the Schmidt decomposition.

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