Facile dual-shot measurement of Schmidt number in type-0 and type-2 downconversion
Facile dual-shot measurement of Schmidt number in type-0 and type-2 downconversion
Blog Article
High-dimensional entangled states have now been identified as excellent candidates towards the enhancement of the bandwidth of quantum systems.A variety of methods exist that aim to certify and set the bounds to entanglement.However, rapid and accurate approaches for precise quantification of the dimensions remain a challenge.Here, we report a facile, rapid and robust approach that quantifies a wide range of the spatial dimensions of high-dimensional entangled states using an interferometric technique using only two images.
Our process works for a class of pure two-photon states, regardless of its separability and opheliasmuse.com provides a fast and easy way to accurately measure the spatial Schmidt number which is a quantitative measure of dimensionality of entanglement.We apply our method to two-photon states generated by spontaneous parametric down-conversion (SPDC) and show that our results are in excellent agreement with numerical estimates.Since such estimates only exist for collinear phase matching in SPDC crystals, we also derive a noncollinear phase-matching condition applicable for type-2 crystals.In these nonlinear crystals, the lock shock and barrel art commonly applied assumption of degenerate daughter photons no longer holds, leading to deviations from earlier theoretical predictions.
Our interferometric technique provides excellent results for both type-0 and type-2 collinear phase-matching conditions, endorsing its wide applicability in quantum photonics.