Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification
Abstract
We propose an optical scheme, employing optical parametric down-converters interlaced with nonlinear sign gates (NSGs), that completely converts an -photon Fock-state pump to signal-idler photon pairs when the down-converters' crystal lengths are chosen appropriately. The proof of this assertion relies on amplitude amplification, analogous to that employed in Grover search, applied to the full quantum dynamics of single-mode parametric down-conversion. When we require that all Grover iterations use the same crystal, and account for potential experimental limitations on crystal-length precision, our optimized conversion efficiencies reach unity for , after which they decrease monotonically for values up to 50, which is the upper limit of our numerical dynamics evaluations. Nevertheless, our conversion efficiencies remain higher than those for a conventional (no NSGs) down-converter.
Cite
@article{arxiv.1603.06857,
title = {Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification},
author = {Murphy Yuezhen Niu and Barry C. Sanders and Franco N. C. Wong and Jeffrey H. Shapiro},
journal= {arXiv preprint arXiv:1603.06857},
year = {2017}
}