Deterministic nonlinear phase gates induced by a single qubit

We propose deterministic realizations of nonlinear phase gates by repeating a finite sequence of non-commuting Rabi interactions between a harmonic oscillator and only a single two-level ancillary qubit. We show explicitly that the key nonclassical features of the ideal cubic phase gate and the quar...

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Main Authors: Kimin Park, Petr Marek, Radim Filip
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aabb86
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author Kimin Park
Petr Marek
Radim Filip
author_facet Kimin Park
Petr Marek
Radim Filip
author_sort Kimin Park
collection DOAJ
description We propose deterministic realizations of nonlinear phase gates by repeating a finite sequence of non-commuting Rabi interactions between a harmonic oscillator and only a single two-level ancillary qubit. We show explicitly that the key nonclassical features of the ideal cubic phase gate and the quartic phase gate are generated in the harmonic oscillator faithfully by our method. We numerically analyzed the performance of our scheme under realistic imperfections of the oscillator and the two-level system. The methodology is extended further to higher-order nonlinear phase gates. This theoretical proposal completes the set of operations required for continuous-variable quantum computation.
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spelling doaj.art-bea78869147d4217af86272b0acb17232023-08-08T14:48:46ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120505302210.1088/1367-2630/aabb86Deterministic nonlinear phase gates induced by a single qubitKimin Park0https://orcid.org/0000-0002-4456-0590Petr Marek1Radim Filip2Department of Optics, Palacký University , 17. listopadu 1192/12, 77146 Olomouc, CzechiaDepartment of Optics, Palacký University , 17. listopadu 1192/12, 77146 Olomouc, CzechiaDepartment of Optics, Palacký University , 17. listopadu 1192/12, 77146 Olomouc, CzechiaWe propose deterministic realizations of nonlinear phase gates by repeating a finite sequence of non-commuting Rabi interactions between a harmonic oscillator and only a single two-level ancillary qubit. We show explicitly that the key nonclassical features of the ideal cubic phase gate and the quartic phase gate are generated in the harmonic oscillator faithfully by our method. We numerically analyzed the performance of our scheme under realistic imperfections of the oscillator and the two-level system. The methodology is extended further to higher-order nonlinear phase gates. This theoretical proposal completes the set of operations required for continuous-variable quantum computation.https://doi.org/10.1088/1367-2630/aabb86quantum information processing with continuous variablesquantum gatesquantum opticscold trapped ionscavity and circuit quantum electrodynamics
spellingShingle Kimin Park
Petr Marek
Radim Filip
Deterministic nonlinear phase gates induced by a single qubit
New Journal of Physics
quantum information processing with continuous variables
quantum gates
quantum optics
cold trapped ions
cavity and circuit quantum electrodynamics
title Deterministic nonlinear phase gates induced by a single qubit
title_full Deterministic nonlinear phase gates induced by a single qubit
title_fullStr Deterministic nonlinear phase gates induced by a single qubit
title_full_unstemmed Deterministic nonlinear phase gates induced by a single qubit
title_short Deterministic nonlinear phase gates induced by a single qubit
title_sort deterministic nonlinear phase gates induced by a single qubit
topic quantum information processing with continuous variables
quantum gates
quantum optics
cold trapped ions
cavity and circuit quantum electrodynamics
url https://doi.org/10.1088/1367-2630/aabb86
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AT petrmarek deterministicnonlinearphasegatesinducedbyasinglequbit
AT radimfilip deterministicnonlinearphasegatesinducedbyasinglequbit