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Published on: June 28, 2018
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Stable Measurement-Induced Floquet Enriched Topological Order
DinhDuy Vu1,2, Ali Lavasani2, Jong Yeon Lee2
1Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Physical Review Letters
|March 1, 2024
Summary
The Floquet code uses periodic measurements to create topological and time-crystal orders, distinct from static systems. This research explores the transition between these phases, revealing a divergent length scale and stable topological order.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
Background:
- The Floquet code leverages periodic two-qubit measurements for topological order.
- This code exhibits a time-crystal order with emergent-static transmutation, breaking measurement schedule symmetry.
Purpose of the Study:
- To investigate the overlap between Floquet enriched topological orders and measurement-induced phases.
- To analyze the transition between time-crystal and stationary topological phases in the Floquet code.
Main Methods:
- Constructing a continuous interpolation path between Floquet and toric codes.
- Introducing single-qubit perturbations to map the Floquet code's phase diagram.
Main Results:
- The transition between time-crystal and stationary topological phases is characterized by a divergent length scale.
- A rich two-dimensional parametric phase diagram reveals the stability of the Floquet enriched topological order.
Conclusions:
- The Floquet code realizes a novel phase at the intersection of Floquet topological orders and measurement-induced phases.
- The study demonstrates the stability of Floquet enriched topological order under perturbations.
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