Universal quantum computation in waveguide QED using decoherence free subspaces

The interaction of quantum emitters with one-dimensional photon-like reservoirs induces strong and long-range dissipative couplings that give rise to the emergence of the so-called decoherence free subspaces (DFSs) which are decoupled from dissipation. When introducing weak perturbations on the emit...

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Main Authors: V Paulisch, H J Kimble, A González-Tudela
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/4/043041
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author V Paulisch
H J Kimble
A González-Tudela
author_facet V Paulisch
H J Kimble
A González-Tudela
author_sort V Paulisch
collection DOAJ
description The interaction of quantum emitters with one-dimensional photon-like reservoirs induces strong and long-range dissipative couplings that give rise to the emergence of the so-called decoherence free subspaces (DFSs) which are decoupled from dissipation. When introducing weak perturbations on the emitters, e.g., driving, the strong collective dissipation enforces an effective coherent evolution within the DFS. In this work, we show explicitly how by introducing single-site resolved drivings, we can use the effective dynamics within the DFS to design a universal set of one and two-qubit gates within the DFS of an ensemble of two-level atom-like systems. Using Liouvillian perturbation theory we calculate the scaling with the relevant figures of merit of the systems, such as the Purcell factor and imperfect control of the drivings. Finally, we compare our results with previous proposals using atomic Λ systems in leaky cavities.
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spelling doaj.art-4dba47534afe41b7adc5ebd33db5e2a02023-08-08T14:31:47ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118404304110.1088/1367-2630/18/4/043041Universal quantum computation in waveguide QED using decoherence free subspacesV Paulisch0H J Kimble1A González-Tudela2Max-Planck-Institute of Quantum Optics , Hans-Kopfermann-Strasse 1, D-85748 Garching, GermanyNorman Bridge Laboratory of Physics 12-33, California Institute of Technology , Pasadena, CA 91125, USA; Institute for Quantum Information and Matter, California Institute of Technology , Pasadena, CA 91125, USAMax-Planck-Institute of Quantum Optics , Hans-Kopfermann-Strasse 1, D-85748 Garching, GermanyThe interaction of quantum emitters with one-dimensional photon-like reservoirs induces strong and long-range dissipative couplings that give rise to the emergence of the so-called decoherence free subspaces (DFSs) which are decoupled from dissipation. When introducing weak perturbations on the emitters, e.g., driving, the strong collective dissipation enforces an effective coherent evolution within the DFS. In this work, we show explicitly how by introducing single-site resolved drivings, we can use the effective dynamics within the DFS to design a universal set of one and two-qubit gates within the DFS of an ensemble of two-level atom-like systems. Using Liouvillian perturbation theory we calculate the scaling with the relevant figures of merit of the systems, such as the Purcell factor and imperfect control of the drivings. Finally, we compare our results with previous proposals using atomic Λ systems in leaky cavities.https://doi.org/10.1088/1367-2630/18/4/043041quantum computationwaveguide QEDdissipative assisted gatesatom nanophotonics
spellingShingle V Paulisch
H J Kimble
A González-Tudela
Universal quantum computation in waveguide QED using decoherence free subspaces
New Journal of Physics
quantum computation
waveguide QED
dissipative assisted gates
atom nanophotonics
title Universal quantum computation in waveguide QED using decoherence free subspaces
title_full Universal quantum computation in waveguide QED using decoherence free subspaces
title_fullStr Universal quantum computation in waveguide QED using decoherence free subspaces
title_full_unstemmed Universal quantum computation in waveguide QED using decoherence free subspaces
title_short Universal quantum computation in waveguide QED using decoherence free subspaces
title_sort universal quantum computation in waveguide qed using decoherence free subspaces
topic quantum computation
waveguide QED
dissipative assisted gates
atom nanophotonics
url https://doi.org/10.1088/1367-2630/18/4/043041
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