4 May 2012 Schmidt number for X-entanglement of photon pairs
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We calculate the Schmidt number for a two-dimensional model of the nonfactorable spatiotemporal wave-function of biphotons produced in type-I spontaneous parametric down-conversion with degenerate and collinear phase- matching taking into consideration a major part of the broad spectral and angular bandwidth of the down- converted light. We derive an analytical expression for the Schmidt number as a function of the filter bandwidth in the limit of spectrally narrow pump.
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D. B. Horoshko, D. B. Horoshko, G. Patera, G. Patera, A. Gatti, A. Gatti, M. I. Kolobov, M. I. Kolobov, } "Schmidt number for X-entanglement of photon pairs", Proc. SPIE 8440, Quantum Optics II, 844008 (4 May 2012); doi: 10.1117/12.922465; https://doi.org/10.1117/12.922465

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