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A possible route towards dissipation-protected qubits using a multidimensional dark space and its symmetries

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  • Raul A. Santos

    (University of Cambridge)

  • Fernando Iemini

    (Universidade Federal Fluminense
    Abdus Salam ICTP)

  • Alex Kamenev

    (University of Minnesota
    University of Minnesota)

  • Yuval Gefen

    (The Weizmann Institute of Science)

Abstract

Quantum systems are always subject to interactions with an environment, typically resulting in decoherence and distortion of quantum correlations. It has been recently shown that a controlled interaction with the environment may actually help to create a state, dubbed as “dark”, which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different orthogonal states act as a computational basis. Here, we devise a symmetry-based conceptual framework to engineer such degenerate dark spaces (DDS), protected from decoherence by the environment. We illustrate this construction with a model protocol, inspired by the fractional quantum Hall effect, where the DDS basis is isomorphic to a set of degenerate Laughlin states. The long-time steady state of our driven-dissipative model exhibits thus all the characteristics of degenerate vacua of a unitary topological system.

Suggested Citation

  • Raul A. Santos & Fernando Iemini & Alex Kamenev & Yuval Gefen, 2020. "A possible route towards dissipation-protected qubits using a multidimensional dark space and its symmetries," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-19646-4
    DOI: 10.1038/s41467-020-19646-4
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