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

Raul A. Santos (), Fernando Iemini, Alex Kamenev and Yuval Gefen
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Raul A. Santos: University of Cambridge
Fernando Iemini: Universidade Federal Fluminense
Alex Kamenev: University of Minnesota
Yuval Gefen: The Weizmann Institute of Science

Nature Communications, 2020, vol. 11, issue 1, 1-9

Abstract: 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.

Date: 2020
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DOI: 10.1038/s41467-020-19646-4

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