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

Area of Science:

• Quantum Information Science
• Condensed Matter Physics
• Quantum Computing

Background:

• Quantum systems naturally lose coherence due to environmental interactions.
• Controlled environmental coupling can paradoxically create decoherence-immune
• dark states
• .

Purpose of the Study:

• To develop a framework for engineering degenerate dark spaces (DDS) protected from decoherence.
• To enable the encoding of quantum information in robust dark states.
• To explore symmetry-based methods for creating these protected spaces.

Main Methods:

• Devised a symmetry-based conceptual framework for engineering DDS.
• Illustrated the construction with a model protocol inspired by the fractional quantum Hall effect.
• Utilized a driven-dissipative model to achieve a long-time steady state.

Main Results:

• Successfully engineered degenerate dark spaces (DDS) protected by environmental interactions.
• Demonstrated that the DDS basis can be isomorphic to degenerate Laughlin states.
• The long-time steady state of the model exhibits characteristics of degenerate vacua in unitary topological systems.

Conclusions:

• Controlled environmental interactions can be harnessed to create robust quantum states.
• Symmetry-based engineering provides a viable route to construct decoherence-protected computational spaces.
• The proposed framework offers a pathway towards fault-tolerant quantum information processing.