Generating grid states from Schrödinger-cat states without postselection

Journal article (2018)

Authors

D.J. Weigand QCD/Terhal Group - QuTech Advanced Research Centre , QuTech Advanced Research Centre
B.M. Terhal QCD/Terhal Group - QuTech Advanced Research Centre , QuTech Advanced Research Centre, QCD/Terhal Group - QuTech Advanced Research Centre
Research Group
QCD/Terhal Group (QuTech Advanced Research Centre) (TU Delft)
Copyright: © 2018 D.J. Weigand, B.M. Terhal
DOI
help_outline
https://doi.org/10.1103/PhysRevA.97.022341
More Info
expand_more

Published Date

2018

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

QuTech Advanced Research Centre

Department

Quantum Computing Division

Research Group

QCD/Terhal Group

Abstract

Grid (or comb) states are an interesting class of bosonic states introduced by Gottesman, Kitaev, and Preskill [D. Gottesman, A. Kitaev, and J. Preskill, Phys. Rev. A 64, 012310 (2001)PLRAAN1050-294710.1103/PhysRevA.64.012310] to encode a qubit into an oscillator. A method to generate or "breed" a grid state from Schrödinger cat states using beam splitters and homodyne measurements is known [H. M. Vasconcelos, L. Sanz, and S. Glancy, Opt. Lett. 35, 3261 (2010)OPLEDP0146-959210.1364/OL.35.003261], but this method requires postselection. In this paper we show how postprocessing of the measurement data can be used to entirely remove the need for postselection, making the scheme much more viable. We bound the asymptotic behavior of the breeding procedure and demonstrate the efficacy of the method numerically.