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Published on: August 2, 2019
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Separability Transitions in Topological States Induced by Local Decoherence.
1Department of Physics, University of California at San Diego, La Jolla, California 92093, USA.
Physical Review Letters
|May 10, 2024
Summary
Local decoherence can induce transitions in topological states, making them separable. These transitions align with error correction thresholds, revealing insights into quantum state stability.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Topological Quantum Computing
Background:
- Topological states of matter possess intrinsic long-range entanglement.
- Local decoherence can degrade quantum states, impacting their properties.
- Separability is a key concept for understanding mixed quantum states.
Purpose of the Study:
- To investigate the effect of local decoherence on topologically ordered states.
- To determine if decohered states can be represented as ensembles of short-range entangled states.
- To explore the relationship between decoherence-induced separability and quantum error correction thresholds.
Main Methods:
- Analysis of toric codes and the X-cube fracton state under local decoherence.
- Characterization of decohered states using the concept of separability.
- Connection to Gibbs states and phase transitions in related models (e.g., random bond Ising model).
Main Results:
- Evidence for decoherence-induced separability transitions in topological states.
- These transitions coincide with the feasibility threshold for active error correction.
- Decoherence acting on parent cluster states results in a Gibbs state.
Conclusions:
- Local decoherence can lead to a transition from topological order to separability.
- This transition is crucial for understanding the robustness of topological quantum states.
- The findings provide a new perspective on error correction in topological quantum systems.
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