Multidimensional dark space and its underlying symmetries: towards
dissipation-protected qubits
- URL: http://arxiv.org/abs/2002.00237v2
- Date: Sat, 1 Aug 2020 17:31:16 GMT
- Title: Multidimensional dark space and its underlying symmetries: towards
dissipation-protected qubits
- Authors: Raul A. Santos, Fernando Iemini, Alex Kamenev and Yuval Gefen
- Abstract summary: We show that a controlled interaction with the environment may help to create a state, dubbed as em 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 states act as a computational basis.
This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 {\em ``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. 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. This approach offers new
possibilities for storing, protecting and manipulating quantum information in
open systems.
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