We propose an approach to quantum phase estimation that can attain precision near the Heisenberg limit without requiring single-particle-resolved state detection. We show that the "one-axis twisting" interaction, well known for generating spin squeezing in atomic ensembles, can also amplify the output signal of an entanglement-enhanced interferometer to facilitate readout. Applying this interaction-based readout to oversqueezed, non-Gaussian states yields a Heisenberg scaling in phase sensitivity, which persists in the presence of detection noise as large as the quantum projection noise of an unentangled ensemble. Even in dissipative implementations -- e.g., employing light-mediated interactions in an optical cavity or Rydberg dressing -- the method significantly relaxes the detection resolution required for spectroscopy beyond the standard quantum limit.
@article{arxiv.1508.04110,
title = {Approaching the Heisenberg limit without single-particle detection},
author = {Emily Davis and Gregory Bentsen and Monika Schleier-Smith},
journal= {arXiv preprint arXiv:1508.04110},
year = {2016}
}
Comments
5 + 4 pages (main text + supplement), 4 figures; in press at PRL