Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
Abstract
The self-Kerr interaction is an optical nonlinearity that produces a phase shift proportional to the square of the number of photons in the field. At present, many proposals use nonlinearities to generate photon-photon interactions. For propagating fields these interactions result in undesirable features such as spectral correlation between the photons. Here, we engineer a discrete network composed of cross-Kerr interaction regions to simulate a self-Kerr medium. The medium has effective long-range interactions implemented in a physically local way. We compute the one- and two-photon S matrices for fields propagating in this medium. From these scattering matrices we show that our proposal leads to a high fidelity photon-photon gate. In the limit where the number of nodes in the network tends to infinity, the medium approximates a perfect self-Kerr interaction in the one- and two-photon regime.
Cite
@article{arxiv.1804.08531,
title = {Two-photon self-Kerr nonlinearities for quantum computing and quantum optics},
author = {Joshua Combes and Daniel J. Brod},
journal= {arXiv preprint arXiv:1804.08531},
year = {2018}
}
Comments
V2: published version; with new section with a qualitative description and new appendix comparing to probabilistic gates. V1: also see arXiv:1604.04278 and arXiv:1604.03914