Spectral Effects of Strong Chi-2 Non-Linearity for Quantum Processing

Details Spectral Effects of Strong Chi-2 Non-Linearity for Quantum Processing Spectral Effects of Strong Chi-2 Non-Linearity for Quantum Processing

2008-11-13

arxiv.org/abs/0811.2038v2

Physics

Quantum Physics

Will be submitted to PRA

Scientific paper

10.1103/PhysRevA.79.042307

Optical $\chi^{(2)}$ non-linearity can be used for parametric amplification and producing down-converted entangled photon pairs that have broad applications. It is known that weak non-linear media exhibit dispersion and produce a frequency response. It is therefore of interest to know how spectral effects of a strong $\chi^{(2)}$ crystal affect the performance. Here we model the spectral effects of the dispersion of a strong $\chi^{(2)}$ crystal and illustrate how this affects its ability to perform Bell measurements and influence the performance of a quantum gates that employ such a Bell measurement. We show that a Dyson series expansion of the unitary operator is necessary in general, leading to unwanted spectral entanglement. We identify a limiting situation employing periodic poling, in which a Taylor series expansion is a good approximation and this entanglement can be removed.

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