Generating grid states from Schrödinger-cat states without postselection

Daniel J. Weigand, Barbara M. Terhal

Research output: Contribution to journalArticleScientificpeer-review

58 Citations (Scopus)
137 Downloads (Pure)


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.

Original languageEnglish
Article number022341
JournalPhysical Review A
Issue number2
Publication statusPublished - 2018


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