Laser Beam through Calcite crystal = Photon Entanglement?

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fizixfan
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If I shine a laser beam through a calcite crystal, the beam is split in two, as shown below. Are the photons in the split beams in an entangled state?
DSC_1475 Red laser through calcite crystal.jpg
 
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If that type of crystal performs a down conversion then some of the pairs of photons produced will be entangled but not many, like 1 pair in 10^12 maybe. I'll let an expert comment.