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604
Shortest Route to Non-Abelian Topological Order on a Quantum Processor
Nathanan Tantivasadakarn1,2, Ruben Verresen2, Ashvin Vishwanath2
1Walter Burke Institute for Theoretical Physics and Department of Physics, California Institute of Technology, Pasadena, California 91125, USA.
Physical Review Letters
|August 25, 2023
Summary
Researchers demonstrate a new method to create non-Abelian states for quantum information using standard quantum device measurements. This breakthrough simplifies the process, enabling the realization of complex topological orders without advanced resources.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Theoretical Physics
Background:
- Non-Abelian gauge theories and their anyonic excitations are crucial for decoherence-free quantum information.
- Current measurement protocols in quantum devices typically yield only Abelian states.
Purpose of the Study:
- To identify a method for realizing non-Abelian states using experimentally accessible resources.
- To demonstrate that non-Abelian states, specifically those with a Lagrangian subgroup, can be prepared with minimal ingredients.
Main Methods:
- Utilizing a finite-depth quantum circuit combined with a single round of measurement.
- Developing protocols for specific non-Abelian topological orders, such as D4.
Main Results:
- A broad family of non-Abelian states, including those with a Lagrangian subgroup, can be created using standard quantum circuits and measurements.
- A realistic protocol for realizing D4 non-Abelian topological order on quantum processors was demonstrated.
Conclusions:
- The findings bypass the need for advanced resources like feed-forward for preparing non-Abelian states.
- This work facilitates the realization and manipulation of non-Abelian topological orders and reveals counterintuitive aspects of their complexity.
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