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Stable Measurement-Induced Floquet Enriched Topological Order.

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This summary is machine-generated.

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.

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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.