Current browse context:
quant-ph
Change to browse by:
References & Citations
Quantum Physics
Title: Stable measurement-induced Floquet enriched topological order
(Submitted on 2 Mar 2023 (v1), last revised 17 Feb 2024 (this version, v2))
Abstract: The Floquet code utilizes a periodic sequence of two-qubit measurements to realize the topological order. After each measurement round, the instantaneous stabilizer group can be mapped to a honeycomb toric code, explaining the topological feature. The code also possesses a time-crystal order - the $e-m$ transmutation after every cycle, breaking the Floquet symmetry of the measurement schedule. This behavior is distinct from the stationary topological order realized in either random circuits or time-independent Hamiltonian. Therefore, the resultant phase belongs to the overlap between the classes of Floquet enriched topological orders and measurement-induced phases. In this work, we construct a continuous path interpolating between the Floquet and toric codes, focusing on the transition between the time-crystal and stationary topological phases. We show that this transition is characterized by a divergent length scale. We also add single-qubit perturbations to the model and obtain a richer two-dimensional parametric phase diagram of the Floquet code, showing the stability of the Floquet enriched topological order.
Submission history
From: DinhDuy Vu [view email][v1] Thu, 2 Mar 2023 19:01:02 GMT (1402kb,D)
[v2] Sat, 17 Feb 2024 18:03:21 GMT (1454kb,D)
Link back to: arXiv, form interface, contact.