Generating grid states from Schrödinger-cat states without postselection

Daniel J. Weigand and Barbara M. Terhal
Phys. Rev. A 97, 022341 – Published 28 February 2018

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)] 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)], 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.

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  • Received 27 October 2017

DOI:https://doi.org/10.1103/PhysRevA.97.022341

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Daniel J. Weigand*

  • QuTech, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

Barbara M. Terhal

  • QuTech, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands and Forschungszentrum Jülich GmbH, Jülich, Germany

  • *d.j.weigand-1@tudelft.nl

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Issue

Vol. 97, Iss. 2 — February 2018

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